\
Wn»s*
S>V‘
UNITED STATES DEPARTMENT OF COMMERCE • Charles Sawyer, Secretary
NATIONAL BUREAU OF STANDARDS • E. U. Condon, Director
Tables of the
Binomial Probability Distribution
National Bureau of Standards
Applied Mathematics Series • 6
Issued January 27, 1950
UNITED STATES GOVERNMENT PRINTING OFFICE, WASHINGTON : 1949
FOR SALE BY THE SUPERINTENDENT OF DOCUMENTS, U. S. GOVERNMENT PRINTING OFFICE, WASHINGTON 25, D. C.
PRICE $2.50 (Buckram)
The present tables were prepared for limited distribution in mimeographed form
by a branch of the Department of the Army just after the close of World War II.
The present edition consists of a photographic reproduction of the mimeographed
tables, after some rearrangement of columns and the deletion of columns of zeros,
with the addition of a foreword and a new introduction. The Statistical Engineering
Laboratory of the National Bureau of Standards handled the details of preparing these
tables for publication in their present form.
II
Contents
S K). 1
U * 35a,
Page
Foreword_ iv
Introduction_ y
The binomial probability distribution_ v
Scope of the tables_ v
Method of preparation_ vi
Interpolation_ vn
Applications_ vm
Other tables_vm
References_ x
Table 1. Individual terms (j^p T q n ~ r _ 1
[£> = .01(.01).50; q=l—p ; n=2(l)49; r=0(l)n— 1; 7D]
n /n\
Table 2. Partial sums s \p s q n ~ s _ 197
[p=.01(.01).50; q—l—p; n=2(l)49; r = 1 (l)r^; 7D]
[A list of the Mathematical Tables issued by the National Bureau of Standards is given at the end
of this volume.]
*
hi
Foreword
The two most important discrete probability distributions, both in the theory of
probability and in its applications, are (1) the binomial (or Bernoulli) distribution,
which gives the probability of 0, 1, 2, . . . , n occurrences in n independent trials of an
event whose probability of occurrence in any single trial is p, and (2) the Poisson dis¬
tribution, which is its limiting form when n ->°°, p—»0, and np tends to a finite limit.
Tables of the latter that are adequate for most purposes have been available for some
time, e. g., the tables of H. E. Soper, and of Lucy Whitaker, published in Biometrika,
10 (1914), and reprinted in Tables for Statisticians and Biometricians, Part I (Edited
by Karl Pearson, Biometric Laboratory, University College, London, 1st ed., 1914;
2d ed., 1924; 3d ed., 1930), the table in T. C. Fry, Probability and Its Engineering
Uses (D. Van Nostrand Co., Inc., New York, N. Y., 1928), and the tables of E. C.
Molina, Poisson's Exponential Binomial Limit (D. Van Nostrand Co., Inc., New York,
N. Y., 1942). On the other hand, there is no published table of the binomial distri¬
bution as such, which is both convenient to use and of sufficient scope, accuracy, and
detail for many of the varied practical applications of this distribution, particularly in
the biological sciences and engineering.
Cumulative sums of terms of the binomial distribution can be obtained directly
from Tables of the Incomplete Beta-Function (Edited by Karl Pearson, Biometrika
Office, University College, London, 1934), but, owing to the conflict between the nota¬
tion of the tables and that commonly used for the binomial distribution, the extraction
of a binomial probability from the tables is particularly difficult on each new occasion,
and even for continual use requires patience and care. Table 2 of the present volume,
which gives cumulative sums, was prepared from Pearson’s tables in this way, and table
1, which gives individual terms, was then obtained by differencing; and both tables
were so constructed by personnel of the Department of the Army and issued in mimeo¬
graphed form for limited distribution.
In view of the increasing need by the Statistical Engineering Laboratory, and in
response to numerous requests from both within and without the Government for
wider availability of tables of these types, permission was obtained to reproduce them.
The present edition consists of a photographic reproduction of the mimeographed edi¬
tion, after some rearrangement of columns and deletion of columns of zeros, and the
addition of a new introduction.
Considering the nature and number of steps involved, it cannot be hoped that no
errors remain. The undersigned will appreciate notification of such errors as may be
found by users of these tables, so that a list of errata may be issued in due course.
Churchill Eisenhart.
Statistical Engineering Laboratory,
National Bureau of Standards, Washington.
March 1949.
IV
Introduction
The Binomial Probability Distribution
If the probability of occurrence of an event E (“success”) in any single trial is p, 0
r|n,p}=S p s q n ~*-. (2)
for r=0,l,2, . . . , n.
Since the expression on the right-hand side of (1) is the (r-\-l)—th term in the binomial expansion of
(q-{-p) n , the number of successes, s, is said to be distributed in accordance with the binomial probability
distribution; or simply, the binomial distribution, for short; sometimes called the Bernoulli distribution,
in recognition of the great Swiss mathematician James Bernoulli (1654-1705), eldest of eight Bernoullis
that distinguished themselves in mathematics, who first investigated it in detail in his Ars Conjectandi,
published posthumously in Basle in 1713 under the editorship of his nephew Nicholas Bernoulli (1695-
1726). It is also called the point binomial, since a variable so distributed can assume only integer values
from 0 to n, and in consequence the probabilities are concentrated at “points”.
Scope of the Tables
In table 1 the values of the individual terms
p T q n T
of the binomial expansion (qAp) n are tabulated to 7D, for
p = .01(.01).50; q=l — p; 71=2(1)49; r=0(l)n— 1.
In view of equation (1), these terms furnish values of the probability, Prob{s = 7'| n,p), of exactly r suc¬
cesses in n independent trials for 2?<49 and 0<.50, can be read directly from table 2—see below.
If the value of Prob{s = Hn,^} is desired for a value of p greater than 0.50, this may be read from
table 1, for 2r|n,p}, of at least r
successes in n independent trials, when the probability of success in any single trial, p, is 0.50 or less,
for 2<7?<49 and l 0 |w, 2 >},
equals unity, of course, for all values of n and p, since q=\ — p.
If the value of Prob{s>r|n,p} is desired for a value of p greater than 0.50, it may be read from
table 2, for 2r\n,p} = ^j p s q n *
= P '~ V ’ f ° r f = n ~ S ’
= 1— X) (Hf) P ,f q' n f > for p' =q and q'=p
f=n—T+l\J/
(4)
1—Prob {j>n—r-\-\\n,p'} t
which states simply that the probability of r or more “successes” is one minus the probability of r— 1
or fewer “successes,” which latter is in turn the same as the probability of n— (r— \)—n— r+1 or more
“failures”. In other words, to obtain the probability of at least r “successes”, find the probability of
at least n — r+1 “failures”, and subtract this from unity.
The entries given in table 2 are accurate to 7D as tabulated, that is, are in error by no more than
±0.5 in the seventh decimal place, apart from such errors as may have entered in their preparation for
publication. A minus ( —) or a comma (,) following an entry that ends in ia 5, or in a 5 followed by
zero(s), signifies that the true value is less than or exceeds the tabular value, respectively.
The entries given in table 1 were obtained by differencing the values tabulated in table 2, and may,
therefore, be incorrect by one unit in the seventh decimal place.
Method of Preparation
These tables were prepared, with the aid of the identity 1
Z)( „ )p s q n s —(h - =I p (r,n-r+ 1), (5)
,=rV 7 I t r ~ l (i -ty~ T dt
from Pearson’s Tables of the Incomplete Beta-Function [l], 2 where values of the incomplete beta-function
ratio, I p (u, v), are tabulated to 7D for u and v equal to .5(.5)11 (1)50, u>v, ^ = .01(.01)1.00. 3 Since
values of I p (u, v) are tabulated for u>v only, values of Prob{s>r|n,^} can be read directly from Pear-
1 Deming [2J notes that the result contained in this identity was first found by Thomas Bayes, Phil. Trans. Roy. Soc. (London) 53, 396 (1763), who used it as
a means of evaluating the integral (in the numerator of the fraction) by summing terms of the binomial expansion; and that Laplace later, Thiorie analytique, p.
151 (1823), derived the same result with the opposite purpose, viz, to sum terms of the binomial expansion.
3 Figures in brackets indicate the literature references given on p. X.
3 Pearson’s notation is /*(p, q), so that in terms of (5) his “x” corresponds to our “p”, his “p” to our “r”; and his “q" to our “n— r+1”. Clearly the Identity
(5) is, under these circumstances, a bit troublesome to use—and you simply must “mind your p’s and q’s” if you are to get anything like the right answer.
VI
son’s tables with the aid of (5) only when r>n— r-f- 1, that is, when r>(n-f l)/2. In view of (4), the
right-hand side of (5) can, however, be evaluated from
I p (r,n— r+l) = l — I X - v (n— r+l,r) (6)
when r< (rc+1)/2. Hence, all of the entries in table 2 can be read directly from the appropriate columns
of Pearson’s tables [1].
The procedure employed was as follows: By means of (5) and (6), values of the partial sums that
comprise table 2 were obtained from Pearson’s tables [1] and punched into IBM cards, from which the
differences that comprise the entries of table 1 were computed, punched, and printed by punched-card
equipment. These differences were then scrutinized for indications of possible errors, and necessary
corrections made. The cards were then rearranged and mimeograph stencils for tables 1 and 2 were cut
by punched-card equipment.
These operations were carried out by personnel of the Department of the Army and a mimeographed
edition of the tables was produced, for limited distribution, just after the close of World War II. 4
Tables 1 and 2 of the present edition are photographic reproductions of the corresponding mimeo¬
graphed tables prepared by the Department of the Army, after deletion of columns of zeros and some
rearrangement of the columns, to effect economies and conformity with the format of the Applied Mathe¬
matics Series. The details of preparing these tables for publication in their present form were handled
by the Statistical Engineering Laboratory of the National Bureau of Standards. 5 In the course of
rearranging the columns, a few errors were noted and corrected.
Interpolation
The character of the interpolation to be employed fcr int rpolating p-wise in these tables must be
determined by the computer in the light of the accuracy required for the interpolated value and the
behavior of (differences of) the tabulated function in the neighborhood concerned. The governing prin¬
ciple is that the effect of the neglected differences must be negligible in comparison with the working
unit. Since the maximum effect of second differences, attained when interpolating midway between
two values of the argument, is one-sixteenth of the double second difference (i. e., Ao+Ai). second
differences may be neglected, and linear or two-point interpolation employed, when the double second
difference is less than eight units in the decimal place to which accuracy is desired. Similarly, third
differences less than about 60 may be neglected, and fourth differences are negligible when the double
fourth difference (i. e., Ao' -t-A)') does not exceed 40 and so forth. 6
Persons who prefer to use Lagrangian interpolation, either to avoid the computation of differences
or for other reasons may find the following rule helpful in connection with the present tables: If accuracy
to 5D or less is desired, evaluate the interpolate by both 2-point and 4-point Lagrangian interpolation,
and accept the higher-point interpolate as accurate, -provided the two interpolates differ by no more than
a few units in the last decimal place to be retained. If 6 or 7D accuracy is desired, proceed in similar
fashion using both 4-point and 6-point Lagrangian interpolation. This rule will generally yield the
accuracy desired unless both p and r are near zero and n is near its upper limit. Alternatively, when
more assurance regarding the accuracy attained is important, it may be preferable to use two odd-point
Lagrangian interpolations of the same degree based on grids that are displaced by one interval of the
argument, requiring the two interpolates to agree exactly in the last decimal place to be retained. A
4 Miss Betty Elsen, Miss Amy Norman, and Miss Bonnie Thomas of the Department of the Army are due grateful acknowledgment for the conscientious
manner in which they performed the tedious and painstaking task of checking these tables at various stages in their preparation.
5 This assignment was carried out principally by Lola S. Doming and Celia S. Martin, to whom grateful acknowledgment is due for the courage with which
they undertook the work and the resourcefulness and persistence of effort that made possible its completion within the brief period of time available.
• The “differences” here considered are central diffei
/-i
fo
fi
/ 2
An elementary and practical guide to interpolation, with convenient tables and formulas, is provided by the reprint [3] of selected pages from the Nautical
Almanac for 1937.
es, thus
a;
M
a;
yi
VII
concise table of 4-point Lagrangian interpolation coefficients to 5D is given (table XX) in [3]; fuller
tables of Lagrangian coefficients for 3-, 4-, 6-, and 8-point interpolation are given in [4]; and a still more
complete set of these coefficients for 3-point to 11-point interpolation is [5].
In connection with the application of the preceding rules it should be noted that the implied accuracy
of the interpolated value may be illusory if the value of the argument, p, for which an interpolated value
is sought is itself only approximate. Thus, if in some particular problem “p = 0.125” means p = 1/8
exactly, the foregoing rules apply; but, if “p = 0.125” means y? = 0.125 ±Ap, there is an uncertainty in
the “corresponding” value of Prob {s = r|n,p}, or of Prob {s>r|a,/>}, resulting from the uncertainty,
A p, in the value of p, that is unrelated to the accuracy of the tabular entries and that imposes a limit
on the accuracy of the interpolation warranted. Accordingly, in such cases the implicit uncertainty in
the value of an individual term, should be determined approximately from the expression: 7 8
iq(n i) (r i>_ 0r
(n-l)
the uncertainty in a jwrtial sum, from
A [l?(
as a guide to the accuracy of interpolation to be undertaken. In practice, however, it will usually
be adequate to determine “on the spot” the difference, Ap) — f(p), of the tabulated function
corresponding to the tabular interval of the argument, Ap=.01, and to use [/(p + .01)— f(p)]/.01 to
2 or 3 significant figures as a working approximation to the coefficient of A p on the right-hand side of
the appropriate one of these expressions.
Applications
The following example illustrates the use of tables 1 and 2.
Example. A sample of 10 items is taken at random from an infinite population containing 8 percent
defective items. What is the probability that the sample contains (1) exactly two defectives,
(2) at least two defectives, (3) not more than two defectives, (4) less than two defectives?
Solutions. Since the sampling is “at random from an infinite population”, this may be taken to mean
that the drawings are independent and that the probability is 0.08 of obtaining a defective item
in any single drawing. For n,= 10 and p = 0.08,
(1) Table 1 gives, in the column headed “w=10 r— 2” and the row for p=. 08,
Prob{s = 2| 10,0.08} = .1478071, as required;
(2) Table 2 gives, in the column headed “n= 10 r— 2” and the row for p=.08,
Prob{s>2 110,0.08} = . 1878825, as required;
(3) Table 2 gives, in the column headed “?< = 10 r=3” and the row for p=.08,
Prob{s>3 110,0.08} = .0400754 so that Prob{s<2| 10,0.08}= 1-.0400754 = .9599246 s ;
(4) Prob{s<2| 10,0.08} = l-Prob{s>2| 10,0.08} = !-.1878825 = .8121175.
Other Tables
Other tables of the binomial distribution known to personnel of the Statistical Engineering Labora¬
tory of the National Bureau of Standards are:
(a) Ballistic Research Laboratory, Aberdeen Proving Ground, Maryland. Table of
Prob(s=.01(.01).50; n=l(l)150; r=0(l)n; 7D.
7 It may be noted that the expression within the brackets on the right-hand side may be obtained from the difference of successive terms, i. e., those in
(r—1) and r, corresponding to (n—1).
8 This figure may be verified by adding the entries for r=0,l,2 corresponding to n=10 and p=.08 given in table 1, thus .4343885+ .3777290+. 1478071=.9599246.
VIII
As the present volume went to press, it was learned that computations for this table, which is being
computed ab initio, have just been completed. No part of this table has been published as yet. The
custodian of this table is Col. Leslie E. Simon, Director of the Ballistic Research Laboratory.
(b) Bell Telephone Laboratories, Inc. (463 West Street, New York 14, N. Y.). Table of individual
terms—see equation (1)—and of cumulative terms in the form given by equation (7), for
/>=.01 (.01).50; 77=50(5)100; r=0(l)n; 6D.
It is understood that this table is to be published shortly by D. Van Nostrand Co., Inc., New
York. Mr. Harry G. Romig is the present custodian of this table.
(c) Bell Telephone Laboratories, Inc. (463 West Street, New York 14, N. Y.). Table of individual
terms as defined by equation (1), of cumulative sums as defined by equation (7), and of the complemen¬
tary sums as given by equation (2) with r replaced by r-\- 1, for
p= .001 (.001).010(.005).10(.01).51, .60, .75, .90; ti= 1 (1)28; r=0(l)n; 6D.
Mr. Harry G. Romig is the present custodian of this table.
(d) Bell Telephone Laboratories, Inc. (463 West Street, New York 14, N. Y.). Table of individual
terms—see equation (1)—and of cumulative terms in the form given by equation (7), for
77= 1/2, 1/3, 9 1/5, 1/10, 1/20; 77=1(1)100; r=0(l)n; 8D.
77=1/10; n= 105(5)200(10)500; t*=0(1)t7; 7D.
27=1/20; 71=101(1)121; 7-=0(l)n; 8D
Mr. Roger I. Wilkinson is the present custodian of this table.
(e) National Bureau of Standards. A table giving the cumulative sums in the form given by equa¬
tion (7), for
2 ? = .01(.01).10(.10).50; 77=5(1)10(5)30(10)50; r= 1 ( 1 ) 77 — 1; 6D.
This table was computed ab initio by the Computation Laboratory (formerly, The Mathematical
Tables Project) during World War II, as a project of the Applied Mathematics Panel, Office of Scientific
Research and Development.
(f) F. M. Durham, J. H. Gaddum, and J. E. Marchal, Reports on biological standards. IX.
Toxicity tests for novarsenobenzene (neosalvarsan), Privy Council, (British) Medical Research Council,
Special Report Series 218 (1929). Tables of the cumulative sums in the form given by equation (7), for
2 ?= .025(.025). 10(.05).90(.025).975; 77=5,10,15,20,30; r= 1 ( 1 ) 77 - 1; 4D.
These brief tables are reproduced, as Appendix III, in J. H. Burn, Biological standardization (Oxford
University Press, 1937).
(g) Charles D. Ferris, Tables of binomial probabilities, Ballistic Research Laboratory (Aberdeen
Proving Ground, Md.), Mem. Rep. No. 309 (1944). These tables give individual terms—see equa¬
tion (1)—and cumulative sums in the form given by equation (7), for
p=.05, ,10(.01).25(.02 or .03).50; 71=60,75,90,100,150,200,250,300; 7 = 0 ( 1 ) 77 ; 3 or 4D.
(h) B. L. Warwick, Probability tables for Mendelian ratios with small numbers, Texas Agric. Exp.
Sta. Bui. 463 (1932).
8 Complete to n=84; currently being extended to n = 100.
IX
(i) Wisconsin Agricultural Experiment Station (Madison, Wisconsin). A table giving cumulative
sums in the form given by equation (7), for
p=.01(.01).50, 1/25G, 1/64, 1/16, 1/8, 3/16, 1/3, 7/16; »=1(1)25; r=0(l)n; 7D.
The Station Biometrician is the custodian of this table.
(j) Naval Gun Factory (Washington 25, D. C.). Naval Ordnance Laboratory Memorandum 9064
(1947). Table of individual terms—see equation (1), for
p = .01, .05(.05).50; n = 3(l) 12,15,16,18,20,24,25,30,36,40,48,50,60,70,72,80,90,120,150; r=0(l)»; 4 D.
Table of cumulative terms in form given by equation (7), for
p = .01 , ,05(.05).50; n=3(l) 12,15,16,18,20,24,25,30,40,50,60; r=0(l)n; 4D.
(k) Computing Service, University of Wisconsin (Madison, Wisconsin). A table of individual
terms—see equation (1), for
p=.5(.l).9, 1/3, 1/4, 1/5, 1/6:71=10(5)30(10)50 and 12, 16, 24; r=0(l)»; 4D.
Professor K. J. Arnold is the custodian of this table.
References
[1J Karl Pearson (Editor), Tables of the incomplete beta-function (Biometrika Office, University College, London,
1934).
[2] W. Edwards Deming, The gamma and beta functions (Graduate School, U. S. Dept. Agric., 1946).
[3] Interpolation and allied tables. (Reprinted from the Nautical Almanac for 1937; His Majesty’s Stationery
Office, London, 1936).
[4] Truman Lee Kelley, The Kelley statistical tables (1st edition, The Macmillan Company, New York, 1938; 2d
edition, Harvard University Press, Cambridge, 1948).
[5] National Bureau of Standards, Tables of the Lagrangian interpolation coefficients (Columbia University Press,
1944).
X
Table 1
Individual Terms
P =.oi(.on.5o
q = l-p
n = 2(1)49
r = 0(l)n — 1
1
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P Q
p
n= 2 r- 1
n® 2 r- 0
n- 3 r- 2
n= 3 r= 1
n= 3 r=0
n= 4 r= J
P
.01
.0198000
.9801000
.0002970
.0294030
.9702990
.0000040
.01
.02
.0592000
.9604000
.0011760
.0576240
.9411920
.0000313
.02
.03
.0582000
.9409000
.0026190
.0846810
.9126730
.0001048
• 03
.04
.0768000
.9216000
.0046080
.1105920
.8847360
.0002457
.04
.05
.0950000
.9025000
.0071250
.1353750
.8573750
.0004750
.05
.06
.1128000
.8836OOO
.0101520
.1590480
.8305840
.0008121
.06
.07
.1302000
.8649000
.OI367I0
.1816290
.8043570
.0012760
.07
.08
.1472000
.8464000
.0176640
.2031360
.7786880
.0018841
.08
.09
.I638OOO
.8281000
.0221130
.2235870
.7535710
.0026536
.09
.10
.1800000
.8100000
.0270000
.2430000
.7290000
.0016000
.10
.11
.1958000
.7921000
.0323070
.2613930
.7049690
.0047384
.11
.12
.2112000
.7744000
.0380160
.2787840
.6814720
.0060825
.12
.15
.2262000
.7569000
.0441090
.2951910
.6585030
.0076456
.13
.14
.2408000
.7396000
.0505680
.3106320
.6360560
.0094393
.14
.15
.2550000
.7225000
.0573750
.3251250
.6141250
.0114750
• 15
.16
.2688000
.7056OOO
.0645120
.3386880
.5927040
.0137625
. 16
.17
.2822000
.6889000
.0719610
.3513390
.5717870
.0163112
.17
.18
.2952000
.6724000
.0797040
.3630960
.5513680
.0191289
. 18
.19
.3078000
.6561000
.0877230
.3739770
.5314410
.0222232
.19
.20
.3200000
.6400000
.0960000
.3840000
.5120000
.0256000
.20
.21
.3318000
.6241000
.1045170
.3931830
.4930390
.0292648
.21
.22
.3432000
.6084000
.1132560
.4015440
.4745520
.0332217
.22
• 23
.3542000
.5929000
.1221990
.4091010
.4565330
.0374744
.23
.24
.3648000
.5776000
.1313280
.4158720
.4389760
.0420249
.24
.25
.3750000
.5625000
.1406250
.4218750
.4218750
.0468750
• 25
.26
.3848000
.5476000
.1500720
.4271280
.4052240
.0520249
. 26
.27
.3942000
.5329000
.1596510
.4316490
.3890170
.0574744
• 27
.28
.4032000
.5184000
.1693440
.4354560
.3732480
.0632217
.28
.29
.4118000
.5041000
.1791350
.4385670
•3579110
.0692648
• 29
.30
.4200000
.4900000
.1890000
.4410000
.3430000
.0756000
.30
.51
.4278000
.4761000
.1989270
.4427730
.3285090
.0822232
• 31
.52
.4352000
.4624000
.2088960
.4439040
.'3144320
.0891289
• 32
.55
.4422000
.4489000
.2188890
.4444110
.3007630
.0963112
• 33
.54
.4488000
.4356000
.2288880
.4443120
.2874960
.1037625
• 34
• 55
.4550000
.4225000
.2388750
.4436250
.2746250
.1114749
• 35
• 56
.4608000
.4096000
.2488320
.4423680
.2621440
.1194393
• 36
.57
.4662000
.3969000
.2587410
.4405590
.2500470
.1276456
.58
.4712000
.3844000
.2685840
. 4382160
.2383280
.1360825
.38
• 59
.4758000
.3721000
.2783430
.4353570
.2269810
.1447384
.40
.4800000
.36OOOOO
.2880000
.4320000
.2160000
.1536000
.40
• 4 Jl
.4838000
.3481000
.2975370
.4281630
.2053790
.1626536
.41
.42
.4872000
.3364000
.3069360
.4238640
.1951120
.1718841
.42
la -v
.4902000
.3249000
.3161790
.4191210
.1851930
.1812760
.43
la It
.44
.4928000
.3136000
.3252480
.4139520
.1756160
.1908121
.44
• ^5
.4950000
.3025000
.3341250
.4083750
.1663750
.2004750
•45
1. ^
. 46
.4968000
.2916000
.3427920
.4024080
.1574640
.2102457
.46
.47
1 . Ci
.4982000
.2809000
.3512310
.3960690
.1488770
.2201048
.47
1, Q
.48
.4992000
.2704000
.3594240
.3893760
.1406080
.2300313
. 4o
.^9
.4998000
.2601000
.3673530
.3823470
.1326510
.2400040
• 49
• 50
.5000000
.2500000
.3750000
.3750000
.1250000
.2500000
• 50
2
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n- 4 r= 2
n- 4 r= 1
n~ 4 r* 0
n= 5 r= 4
n- 5 r= 3
n= 5 r= 2
P
.01
.0005880
.0388120
.9605960
.0000000
.0000099
.0009702
.01
.02
.0023050
.0752953
.9223682
.0000008
.0000768
.0037648
.02
.03
.0050808
.1095208
.8852928
.0000040
.0002540
.0082141
.03
.04
.0088474
.1415577
.8493466
.0000123
.0005898
.0141558
.04
.05
.0135376 .
.1714750
.8145062
.0000297
.0011281
.0214344
.05
.06
.0190858
.1993401
.7807490
.0000609
.0019086
.0299010
.06
.07
.0254280
.2252200
.7480520
.0001116
.0029666
.0394135
.07
.08
.0325018
.2491801
.7163930
.0001884
.0043336
.0498360
.08
.09
.0402456
.2712856
.6857496
.0002985
.0060369
.0610392
.09
.10
.0486000
.2916000
.6561000
.0004500
.0081000
.0729000
.10
.11
.0575064
.3101864
.6274224
.0006515
.0105429
.0853012
.11
.12
.0669082
.3271065
.5996954
.0009124
.0133816
.0981320
.12
.13
.0767496
.3424216
.5728976
.0012424
.0166291
.1112870
.13
.14
.0869770
.3561913
.5470082
.0016519
.0202946
.1246670
.14
.13
.0975376
.3684750
.5220062
.0021516
.0243844
.1381781
.15
.16
.1083802
.3793305
.4978714
.0027525
.0.289013
.1517323
.16
.17
.1194552
.3888152
.4745832
.0034661
.0338457
.1652464
.17
.18
.1307146
.3969849
.4521218
.0043040
.0392143
.1786433
.18
.19
.1421112
.4038952
.4304672
.0052780
.0450019
.1918502
.19
.20
.1536000
.4096000
.4096000
.0064000
.0512000
.2048000
.20
.21
.1651368
.4141528
.3895008
.0076820
.0577979
.2174302
.21
.22
.1766794
.4176057
.3701506
.0091359
.0647825
.2296831
.22
.23
.1881864
.4200104
.3515304
.0107739
.0721382
.2415059
*23
.24
.1996186
.4214169
.3336218
.0126075
.0798474
.2528502
.24
• 25
.2109376
.4218750
.3164062
.0146484
.0878906
.2636719
.25
.26
.2221066
.4214329
.2998658
.0169081
.0962462
.2739314
,26
.27
.2330904
.4201384
.2839824
.0193976
.1048907
.2835934
.27
.28
.2438554
.4180377
.2687386
.0221277
.1137991
.2926265
.28
.29
.2543688
.4151768
.2541168
.0251085
.1229449
.3010032
.29
.30
..2646000
.4116000
.2401000
.0283500
.1323000
.3087000
.30
.31
..2745192
.4073512
.2266712
.0318615
.1418349
.3156972
.31
.32
.2840986
.4024729
.2138138
.0356516
.1515193
.3219783
.32
.33
.2933112
.3970072
.2015112
.0397284
.1613212
.3275309
.33
.34
.3021322
.3909945
.1897474
.0440991
.1712083
.3323453
.34
.35
.3105376
.384*1750
.1785062
.0487703
.1811469
.3364156
• 35
• 36
.3185050
.3774873
.1677722
.0537477
.1911030
.3397386
.36
•37
.3260136
.3700696
.1575296
.0590361
.2010417
.3423144
•37
.38
.3330442
.3622585
.1477634
.0646392
.2109280
.3441456
.38
.39
.3395784
.3540904
.1384584
.0705600
.2207260
.3452381
•? 9
.40
.3456OOO
.3456OOO
.1296000
.0768000
.2304000
.3456000
.40
.41
.3510936
.3368216
.1211736
.0833600
.2399140
.3452421
.41
.42
.3560458
.3277881
.1131650
.0902392
.2492320
.3441776
.42
•J?
.3604440
.3185320
.1055600
.0974359
.2583182
.3424219
.43
.44
.3642778
.3090841
.0983450
.1049467
.2671370
.3399926
.44
.45
.3675376
.2994749
.0915063
.1127672
.2756531
.3369094
• 45
.46
.3702154
.2897337
.0850306
.1208913
.2838318
•5521958
.46
.47
.3723048
.2798888
.0789048
.1293115
.2916389
.3288692
.47
.48
.3738010
.2699673
.0731162
.1380188
.2990408
.3239608
.48
.49
.3747000
.2599960
.0676520
.1470025
.3060050
.3184951
.49
• 50
.3750000
.2500000
.0625000
.1562500
.3125000
.3125OOO
• 50
3
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n= 5 r- 1
n= 5 r- 0
n= 6 r= 5
.01
.0480299
.9509900
.0000000
.02
.0922368
.9039208
.0000000
.03
.1327939
.8587340
.0000001
.04
.1698693
.8I53727
.0000006
.05
.2036266
.7737809
.0000018
.06
.2342247
.7339040
.0000044
.07
.2618182
.6956884
.0000094
.08
.2865572
.6590815
.0000181
.09
.3085874
.6240321
.0000323
.10
.3280500
.5904900
.0000640
.11
.3450824
.5584059
.0000860
.12
.3598172
.5277319
.0001314
.13
.3723835
.4984209
.0001938
.14
.3829057
.4704270
.0002775
.15
.3915047
.4437053
.0003873
.16
.3982971
.4182119
.0005285
.17
.4033957
.3939041
.0007071
.18
.4069096
.3707398
.0009297
.19
.4089439
.3486784
.0012034
.20
.4096000
.3276800
.0015360
.21
.4089759
.3077056
.0019358
.22
.4071657
.2887174
.0024119
.23
.4042600
.2706784
.0029736
.24
.4003461
.2535525
.0036310
.25
.3955078
.2373047
.0043946
.26
.3898255
.2219007
.0052753
.27
.3833762
.2073072
.0062848
.28
.3762339
.1934918
.0074349
.29
.3684694
.1804229
.0087378
.30
.3601500
.1680700
.0102060
.31
.3513404
.1564031
.OH8525
.32
.3421020
.1453934
.0136903
.33
•3324935
.1350125
.0157324
.34
.3225705
.1252353
.0179924
• 35
.3123859
.1160291
.0204835
.36
.3019899
.1073742
.0232190
.2914297
.0992437
.0262120
,38
.2807504
.0916133
.0294755
.39
.2699939
.0844596
.0330221
. 40
.2592000
.0777600
.0368640
. **1
.2484059
.0714924
.0410131
. 42
| t -»
.2376464
.0656357
.0454806
.43
la 1.
.2269540
.0601692
.0502769
. 44
.2163589
.0550732
.0554119
.45
ii r
.2058891
.0503284
.0608942
. 46
.1955703
.0459165
.0667320
.47
1 . O
.1854264
.0418195
.0729317
.48
.1754788
.0380204
.0794988
.49
.1657474
.0345025
.0864374
• 30
.1562500
.0312500
.0937500
n- 6 r-
.OOOOOOl
.0000023
.0000115
.0000354
.0000846
.0001718
.0003115
.0005200
.0008149
.0012150
.0017395
.0024087
.0032427
.0042619
.0054865
.0069363
.0086307
.0105879
.0128256
.0153600
.0182064
.0213782
.0248877
.0287450
.0329590
.0375361
.0424808
.0477956
.0534810
.0595350
.0659532
.0727292
.0798540
.0873162
.0951021
.1031956
.1115782
.120^290
.1291247
.1382400
.1475471
.1570162
.1666152
..1763104
.1860659
.1958439
.2056054
.2153094
.2249137
.2343750
.0000195
.0001506
.0004928
.0011324
.0021434
.0035881
.0055179
.0079737
.0109871
.0145800
.0187663
.0235516
.0289346
.0349068
.0414534
.0485543
.0561838
.0643115
.0729030
.0819200
.0913207
.1010606
.1110927
.1213681
.1318359
.1424443
.1531404
.1638708
.1745819
.1852200
.1957323
.2060661
.2161704
.2259949
.2354909
.2446118
.2533126
.2615506
.2692857
.2764800
.2830985
.2891091
.2944828
.2991935
.3032184
.3065383
.3091371
.3110024
.3121252
.3125000
.0014408
.0055342
.0119515
.0203844
..03054*10
.0421605
.0549818
.0687738
.0833186
.0984150
.1138772
.1295342
.1452296
.1608204
.1761771
.1911826
.2057318
.2197312
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.2330980
.2457600
.2576547
.2687293
.2789394
.2882492
.2966309
.3040639
.3105348
.3160366
.3205683
.3241350
.3267465
.3284180
.3291685
.3290219
.3280053
.3261491
.3234871
.3200555
.3158929
.3110400
.3055393
.2994345
.2927707
.2855937
.2779503
.2698870
.2614511
.2526894
.2436487
.2343750
.19
.20
.21
.22
.23
.24
.25
,26
.29
• 30
-31
.32
,33
.34
.35
• 36
•37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
• 50
4
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n= 6 r= 1
n- 6 r= 0
n* 7 r= 6
n= 7 r= 5
n= 7 r= 4
n* 7 r-3
P
.01
.0570 595
.9414801
.0000000
.0000000
.0000003
.0000337
.01
.02
.1084705
.885842^
.0000000
.0000001
.0000052
.0002583
.02
.03
.1545721
.8329720
.0000000
.0000005
.0000259
.OOO8366
.03
.04
.1956894
.7827578
.0000000
.0000020
,0000793
.0019025
.04
.05
.2321343
.7350919
.0000001
.0000059
.0001876
.0035634
.05
.06
.2642054
.6898698
.0000003
.0000144
.0003768
.0059025
.06
.07
.2921891
.6469902
.0000008
.0000305
.0006759
.0089804
.07
. 08
.3163591
.6063550
.0000017
.0000583
.0011163
.0.128377
.08
.09
.3369773
.5678693
.0000034
.0001027
.0017305
.0174969
.09
.10
.3542940
.3314410
.0000063
.0001701
.0025515
.6229635
.10
.11
.3685479
.4969813
.0000110
.0002679
.0036125
.0292285
.11
.12
.3799670
.4644041
.0000184
.0004046
.0049459
.0362695
.12
.13
.3887683
.4336262
.0000294
.0005902
.0065826
.0440530
.15
.14
.3951587
.4045672
•0000453
.0008353
.0085522
.0525346
.14
.15
•3993348
.3771495
.0000678
.0011521
.0108816
.0616620
.15
.16
.4014835
.3512980
.0000986
.OOI5538
.0135952
.0713748
.16
.17
.4017821
.3269404
.0001402
.0020541
.0167147
.0816070
.17
.18
.4003990
.3040067
.0001953
.0026681
.0202581
.0922871
.18
.19
.3974935
.2824295
.0002668
.0034116
.0242403
.1033401
.19
.20
.3932160
.2621440
.0003584
.0043008
.0286720
.1146880
.20
.21
.3877091
.2430875
.0004743
.0053527
.0335603
.1262509
.21
.22
.3811070
.2251996
.0006191
.0065845
. 0389083
.1379477
.22
.23
.3735362
.2084224
.0007980
.0080138
.0447148
.1496975
*23
.24
.3651157
.1926999
.0010166
.0096584
.0509746
.1614195
.24
.25
.3559570
.1779785
.0012818
.0115356
.0576782
.1730347
.25
.26
.3461650
.1642065
.0016002
.0136631
.0648122
.1844654
,26
.27
.•3358376
.1513342
.0019797
.0160577
.0723589
.1956369
.27
.28
.3250661
.1393141
.0024288
.0187359
.0802966
.2064773
.28
.29
.3139359
.1281003
.0029563
.0217133
.0886003
.2169179
.29
• 30
.3025260
.1176490
.0035721
.0250047
.0972405
.2268945
.30
.31
.2909098
.1079182
.0042867
.0286237
.1061847
.2363467
.31
• 32
.2791552
.0988675
.0051110
.0325827
.1153971
.2452187
.52
• 33
.2673248
.0904584
.0060570
.0368925
.1248384
.2534598
• 33
• 34
.2554758
.0826540
.0071370
.0415625
.1344670
.2610240
.34
.35
.2436610
.0754189
.0083641
.0466000
.1442382
.2678710
• 35
• 36
.2319282
.0687195
.0097520
.0520106
.1541055
.2739652
.36
• 37
.2203209
.0625235
.0113149
.0577975
.1640199
.2792771
.38
.2088783
.0568002
.0130674
.0639618
.1739312
.2837825
.38
.39
.1976355
.0515204
.0150250
.0705021
.1837875
.2874625
.39
.40
.1866240
.0466560
.0172032
.0774144
.1935360
.2903040
.40
.41
.1758714
.0421805
.0196180
.0846920
.2031232
.2922992
.41
.42
li«.
.1654019
.0380687
.0222855
.0923255
.2124952
.2934458
.42
.43
.1552366
.0342964
.0252222
.1003024
.2215983
.2937466
. 43
li )i
. 44
.1453932
.0308410
.0284447
.1086073
.2303789
.2932096
.44
• 45
.1358868
.0276806
.0319695
.1172215
.2387845
.2918477
• 45
.46
.1267296
.0247949
.0358128
.1261235
.2467634
.2896787
. 46
.47
i. 0
.1179311
.0221644
.0399909
.1352883
.2542653
.2867247
.47
1. Q
.48
.1094988
.0197706
.0445193
.1446879
.2612420
.2830122
. 4o
.49
.101437.4
.0175963
.0494134
.1542908
.2676473
.2785717
• 49
• 50
.0937500
.0156250
.0546875
.1640625
.2734375
.2734375
• 50
5
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
<1
p
n= 7 r= 2
n= J r - 1
n= 7 r= 0
n= 8 r= 7
n= 8 r= 6
3
11
00
>s
11
P
.01
.0019970
.0659037
.9320653
.0000000
.0000000
.0000000
.01
.02
.0075929
.1240180
.8681255
.0000000
.0000000
.0000002
.02
.03
.0162300
.1749242
.8079828
.0000000
.0000000
.0000013
.03
.04
.0273965
.2191722
.7514475
.0000000
.0000001
.0000051
.04
.05
.0406235
.2572822
.6983373
.0000000
.0000004
.0000150
.05
.06
.0554831
.2897453
.6484776
.0000000
.0000012
.0000361
.06
.07
.0715863
.3170252
.6017009
.0000001
.0000028
.0000757
.07
.08
.0885806
.3395588
.5578466
.0000002
.0000062
.0001429
.08
.09
.1061479
.3577576
.5167610
.0000004
.0000123
.0002492
.09
.10
.1240029
.3720087
.4782969
.0000007
.0000227
.0004082
.10
.11
.1418910
.3826756
. 44&3133
.0000014
.0000393
.0006358
.11
.12
.1595862
.3900994
.4086756
.0000026
.0000647
.0009496
.12
.13
.1768896
.3945998
.3772548
.0000043
.0001023
.0013692
.13
.14
.1936278
.3964759
.3479278
.0000073
.0001559
.0019157
.14
.15
.2096507
.3960070
.3205771
.0000116
.0002304
.0026116
.15
as
.2248308
.3934538
.2950903
.0000181
.0003314
.0034804
.16
.17 !
.2390603
.3890591
.2713605
.0000272
.0004656
.0045464
.17
.18
.2522514
.3830484
.2492855
.0000402
.0006403
.0058344
.18
.19
.2643331
.3756313
.2287679
.0000579
.0008643
.0073690
.19
.20
.2752512
.3670016
.2097152
.0000819
.0011469
.0091750
.20
.21
.2849662
.3573385
.1920391
.0001138
.0014988
.0112762
.21
.22
.2934524
.'3468074
.1756557
.0001556
.0019315
.0136957
.22
.23
.3006966
.3355601
.1604852
.0002098
.0024575
.0164551
.23
.24
.3066972
.3237359
.•1464519
.0002789
.0030906
.0195743
.24
.25
.3114624
.3114624
.1334839
.0003662
.0038452
.0230713
.25
.26
.3150102
.2988558
.1215128
.0004755
.0047365
.0269619
,26
.27
.3173665
.2860217
.1104740
.0006109
.0057808
.0312590
.27
.28
.3185648
.2730556
.1003061
.0007772
.0069947
.0359729
.28
.29
.31864^9
.2600436
.0909512
.0009798
.0083958
.0411106
.29
• 30
.3176523
.2470629
.0823543
.0012247
.OI06619
.0466754
.30
.31
.3156372
■.2341824
.0744635
.0015187
.0118311
.0526676
.32
.3126539
.2214631
.0672299
.0018691
.0139620
.0590833
.32
.33
.3087601
.2089589
.0606071
.0022644
.OI62327
.0659147
.33
.34
.3040163
.1967164
.0545516
.0027732
.0188417
.0731500
.34
.35
.2984847
.1847763
.0490223
.0033456
.0217467
.0807734
• 35
• 36
.2922296
.1731730
.0439805
.0040123
.0249650
.0887648
• 36
.37
.2853156
.1619359
.0393898
.0047846
.0285134
.0970998
'Zb
.38
.2778081
.1510887
.0352161
.0056750
.0324073
.1057502
.38
.39
.2697725
.1406507
.0314274
.0066969
.6366611
.1146834
.39
.40
.2612736
.1306368
.0279936
.0078643
.0412877
.1238630
.40
• 41
.2523755
.1210581
.0248865
.0091924
.0462983
.1332488
.41
.42
.2431408
.1119220
.0220798
.0106970
.0517023
.1427968
.42
.43
.2336310
.1032323
.0195490
.0123949
.0575068
.1524596
.43
.44
.2239055
.0949903
.0172709
.0143037
.0637162
.1621868
.44
i45
.2140217
.0871940
.0152244
.0164415
.0703329
.1719248
.45
.46
.2040345
.0798396
.0133893
.0188273
.0773557
.1816178
. 46
.47
.1939967
.0729208
.0117471
.021.4808
.0847807
.1912075
.47
.48
.1839579
.0664293
.0102807
.0244221
.0926002
.2006339
.48
.49
.1739652
.0603553
.0089741
.0276715
.1608033
.2098355
.49
.50
.1640625
.0546875
.0078125
.0312500
.1093750
.2187500
.50
6
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
I n= 8 r- 4
n- 8 r= 3
n= 8 r= 2
n- 8 r= 1
n= 8 r= 0
n= 9 r- 8
P
.01
.0000007
.0000532
.0026362
.0745652
.9227447
.0000000
.61
.02
.0000103
.0004050
.0099214
.1389001
.8507630
.0000000
.02
.03
.0000502
.0012984
.0209909
.1939158
.7837434
.0000000
.03
.04
.0001522
.0029223
.0350675
.2404632
.7213896
.0000000
.04
.05
.0003564
.0054164
.0514565
.2793349
.6634204
.0000000
.05
.06
.0007083
.0086873
.0695389
.3112693
.6095689
.0000000
.06
.07
.0012573
.0133628
.0887670
.3369525
.5595818
.0000000
.07
.08
.0020540
.0188972
.1086588
.3570218
.5132189
.0060000
.08
.09
.0031494
.0254755
.1287927
.3720680
.4702525
.0000000
.09
.10
.0045928
.0330674
.1488035
.3826375
.4304672
.0000001
.10
.11
.0064303
.0416213
.1683773
.3892357
.3936589
.0060002
.11
.12
.0087047
.0510676
.1872477
.3923286
.3596345
.0000003
.12
.15
.0114538
.0613217
.20,51919
.3923450
.3282117
.0000006
.13
.14
.0147097
.0722877
.2220265
.3896792
.2992179
.0000012
.14
.15
.0184986
.0838603
.2376042
.3846925
.2724905
.0600020
.15
.16
.0228400
.0959277
.2518105
.3777156
.2478759
.0000032
.16
.17
.0277464
.1083740
.2645602
.3690503
.2252292
.0000052
.17
.18
.0332233
.1210807
.2757948
.3589711
.2044141
.0600081
.18
.19
.0392693
.1339288
.2854797
.3477273
.1853020
.0000124
.19
.20
.0458752
.1468006
.2936013
.33554*13
.1677722
.0000184
.26
.21
.0530254
.1595811
.3001643
.3226257
.1517109
.0000269
.21
.22
.0606970
.1721588
.3051905
.3091540
.1370114
.0000385
.22
.23
.0688608
.1844273
.3087152
.2952929
.1235736
.0000543
,23
.24
.0774814
.1962861
.3107865
.2811877
.1113035
.0000753
.24
.25
.0865173
.2076416
.3114624
.2669678
.1001129
.0001030
.25
.26
.0959220
.2184071
.3108100
.2527466
.0899195
.0001391
,26
.27
.1056440
.2285039
.3089034
.2386238
.0806460
.0001856
.27
.28
.1156273
.2378617
.3058223
.2246857
.0722204
.0002448
.28
.29
.1258124
.2464187
.3016506
.2110067
.0645754
.0003197
.29
.50
.1361368
.2541218
.2964755
.1976503
.0576480
.0004133
.30
.51
.1465350
.2609267
.2903862
.1846696
.0513798
.0005297
• 31
.52
.1569399
.2667980
.2,834729
.1721085
.0457163
.0006729
.32
.55
.I672834
.2717089
.2758257
.1600028
.0406068
.0008481
• 33
.54
.1774964
.2756414
.2675343
.1483803
.0360041
.0010608
.34
.55
.1875097
.2785857
.2586868
.1372624
.0318645
.0013174
.35
• 56
.1972549
.2805404
.2493693
.1266637
.0281475
.0016249
.36
.57
.2066651
.2815114
.2396651
.1165938
.0248156
.0019915
'll
.38
.2156747
.2815122
.2296547
.1070571
.0218340
.0024261
.38
.59
.2242207
.2805634
.2194150
.0980536
.0191707
.0029383
.39
.40
.2322432
.2786918
.2090189
.0895795
.0167962
.0035390
.40
.41
.2396854
.2759305
.1985353
.0816278
.0146830
.0042400
.41
.42
.2464944
.2723177
.1880289
.0741883
.0128063
.0050543
.42
* 4.3
.2526221
.2678968
.1775596
.0672485
.0111429
.0059960
. 43
.44
.2580244
.2627158
.1671828
.0607938
.0096717
.0070803
.44
.45
.2626630
.2568260
.1569492
.0548077
.0083734
.0083235
.45
I. £
.46
.2665045
.2502824
.1469049
.0492724
.0072302
.0097431
. 46
.47
.2695212
.2431426
.1370910
.0441691
.0062260
.0113580
.47
J, Q
.48
.2716917
.2354661
.1275442
.0394779
.0053460
.OI 3 I 879
. 4o
.49
.2730003
.2273145
.1182963
.0351785
.0045768
.0152539
.49
. 50
.2734376
.2187500
.1093750
.0312500
.0039062
.0175781
• 30
832939 0 - 50 -2
7
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n= 9 r- 7
n= 9 r» 6
n= 9 r- 5
n= 9 r= 4
n- 9 r= 3
n= 9 r= 2
P
.01
.0000000
.0000000
.O0OOOOO
.0000012
.0000791
.0033554
.01
.02
.0000000
.0000000
.0000004
.0000182
.0005953
.0125010
.02
.03
.0000000
.0000001
.0000027
.0000876
.0018892
.0261786
• 03
.04
.0000000
.0000003
.0000110
.0002630
.0042081
.0432834
.04
.05
.0000000
.0000012
.0000320
.0006094
.0077184
.0628504
.05
.06
.0000001
.0000032
.0000765
.0011985
.0125170
.0840427
.06
.07
.0000003
.0000079
.0001584
.0021047
.0186410
.1061401
.07
.08
.0000007
.0000171
.0002958
.0034015
.0260781
.1285278
.08
.09
.0000015
.0000336
.0005102
.0051588
.0347740
.1506876
.09
.10
.0000029
.0000612
.0008267
.0074402
.0446410
.1721869
.10
.11
.0000055
.0001049
.0012732
.0103013
.0555645
.1926717
.11
.12
.0000100
.0001710
.0018802
.0137882
.0674092
.2118574
.12
.13
.0000171
.0002670
.0026802
.0179366
.0800249
.2295218
.13
.14
.0000280
.0004023
.0037069
.0227706
.0932511
.2454979
.14
.15
.0000444
.0005876
.0049947
.0283028
.1069219
.2596674
.15
.15
.0000682
.OOO8353
.0065779
.03453^0
.1208690
.2719553
.16
.17
.0001018
.0011593
.0084904
.0414531
,1349257
.2823234
.17
. 18
.0001482
.0015753
.0107644
.0490376
.1489293
.2907665
.18
.19
.0002111
.0021002
.0134301
.0572545
.1627235
.2973068
.19
.20
.0002950
.0027525
.0165150
.0660603
.1761608
.3019899
.20
.21
.0004046
.0035521
.0200436
.0754020
.1891036
.3048812
.21
.22
.0005464
.0045195
.0240361
.0852185
.2014258
.3060624
.22
.23
.0007267
.0056770
.0285084
,0954411
.2130135
.3056281
*23
.24
.0009537
.0070468
.0334719
.1059945
.2237663
.3036827
.24
*23
.0012360
.0086517
.0389328
.1167984
,2335968
.3003388
.25
. 26
.0015834
.0105151
.0448915
.1277681
.2424319
.2957135
,26
.27
.0020067
.0126599
.0513430
.I388I6I
.2502118
.2899279
.27
.28
.0025181
.0151086
.0582762
.1498529
.2568906
.2831041
.28
.29
.0031304
.0178831
.0656741
.1607882
.2624360
.2753638
.29
.30
.0038579
.0210039
.0735139
.1715322
.2668279
.2668280
• 30
.0047155
.0244905
.0817665
.1819964
.2700591
.2576141
• 51
.32
.0057196
.0283600
.0903975
.1920945
.2721339
,2478363
.32
.33
.0068873
.0326278
.0993663
.2017439
.2730674
.2376042
.33
.34
.0082365
.0373065
.1086278
.2108656
.2728850
.2270220
.34
.35
.OO9786O
.0424060
.1181311
.2193863
.2716211
.2161883
.35
• 36
.0115553
.0479329
.1278213
.2272377
.2693188
.2051952
.36
• 37
O
.0135643
.0538904
.1376389
.2343582
.2660283
.1941287
•37
,38
.0158333
.0602776
.1475215
.2406929
.2618064
.1830676
.38
.39
.0183829
.0670898
.1574030
.2461943
.2567156
.1720840
.39
. 40
.0212337
.0743178
.1672151
.2508226
.2508227
.1612431
.40
.0244058
.0819480
.1768878
.2545459
.2441984
.1506033
.41
. 42
.0279193
.0899619
.1863498
.2573403
.2369164
.1402158
.42
• 43
)t Ji
.0317930
.0983365
.1955295
.2591902
.2290519
.1301258
.43
. 44
.0360452
.1070433
.2043554
.2600886
.2206813
.1203716
.44
•45
1 . c
.0406926
.1160492
.2127571
.2600363
.2118815
.1109855
.45
. 4o
,0457504
.1253163
.2206657
.2590423
.2027287
.1019940
.46
.4/
h O
.0512318
,1348013
.2280149
.2571232
.1932984
.0934-177
.47
. 40
.0571476
.1444564
.2347416
.2543034
.1836636
.0852724
.48
.49
.0635061
.1542291
.2407862
.2506143
.1738956
.0775686
.49
. 50
.0703125
.1640625
.2460938
.2460938
.1640625
.0703125
.50
8
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n= 9 r= i
n= 9 r- 0
n=10 r = 9
n-10 r= 0
n=10 r= 7
n=10 r= 6
P
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
.23
.24
.25
.26
.27
.28
.29
• 50
.51
.52
.55
.54
.55
• 56
.57
.58
.59
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
.0830471
.1531373
.2116107
.2597002
.2985392
.3291672
.3525365
•3695176
.3809045
.3874205
.3897223
.3884053
.3840076
.3770146
.3678623
.3569413
.34^6007
.3311508
.3I68665
.3019899
.$867336
.2712827
.2557974
.2404156
.2252540
.2104116
.1959698
.1819954
.1685417
.1556496
.1433497
.1316630
.1206021
.1101724
.1003731
.0911979
.0826359
.0746723
.0672893
.0604662
.0541804
.0484078
.0431230
.0383000
.0339122
.0299330
.0263358
.0230946
.0201836
.0175781
.9135172
.8337478
.7602311
.6925340
.6302494
.5729948
.5204111
.4721614
.4279298
.3874205
.3503564
.3164784
.2855442
.2573274
.2316169
.2082157
.1869403
.1676196
.1500946
.1342177
.1198516
.1068689
.0951517
.0845906
.0750847
.0665404
.0588716
.0519987
.0458485
.0403536
.0354521
.0310871
.0272065
.0237627
.0207119
.0180144
.0156338
.0135371
.0116941
.0100777
.0086630
.0074277
.0063515
.0054162
.0046054
.0039043
.0032998
.0027799
.0023342
.0019531
.0000000
.0000000
.Q00000C
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.0000003
.0000006
.0000010
.0000017
.0000026
.0000041
.0000062
.0000094
.0000139
.0000201
.0000286
.0000402
.0000556
.0000761
.0001030
.0001378
.0001824
.0002392
.0003110
.0004008
.0005123
.0006499
.0008187
.0010243
.0012732
.0015728
.0019316
.0023587
.0028648
.0034615
.0041617
.0049798
.0059314
.0070335
.0083049
.0097656
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.0000004
.0000008
.0000015
.0000028
.0000049
.0000084
.0000136
.0000216
.0000333
.0000501
.0000737
.0001063
.0001502
.0002089
.0002861
.0003862
.0004946
.0006773
.0008814
.0011348
.0014467
.0018273
.0022879
.0028410
.0035005
.0042814
.0051999
.0062735
.0075208
.0089617
.0106169
.0125080
.0146576
.0170887
.0198248
.0228896
.0263065
.0300986
.0342885
.0388975
.0439453
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.0000008
.0000019
.0000043
.0000087
.0000165
.0000293
.0000496
.0000805
.0001259
.0001909
.0002816
.0004051
.0005701
.0007865
.0010656
.0014205
.0018653
.0024160
.0030899
.0039256
.0048831
.0060434
.0074087
.0090017
.0108458
.0129645
.0153816
.0181203
.0212030
.0246512
.0284849
.0327222
.0373786
.0424673
.0479981
.0539772
.0604067
.0672844
.0746031
.0823507
.0905095
.0990559
.1079604
.1171875
.0000000
.0000000
.0000001
.0000007
.0000027
.0000076
.0000185
.0000395
.0000765
.0001378
.0002334
.0003761
.0005807
.0008649
.0012486
.0017542
.0024056
.0032293
.0042528
.0055050
.0070152
.0088132
.0109282
.0133888
.0162220
.0194530
.0231043
.0271955
.0317425
.0367569
.0422460
.0482120
.0546516
.0615557
.0689098
.0766928
.0848774
.0934302
.1023119
.1114767
.1208733
.1304449
.1401295
.1498606
.1595678
.1691770
.1786117
.1877933
.1966421
.2050781
.01
.02
•03
.04
.05
.06
.07
.08
.09
.10
.11
.12
' .13
.14
.15
.16
.17
.18
.19
.20
.21
.22
.23
.24
.25
.26
.27
.28
.29
.30
.51
.32
.33
.34
• 55
.36
.31
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
9
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n- r
p
n-10 r= 5
n=10 r- 4
n-10 r- 3
n-10 rs 2
n=10 r= 1
n=10 r= 0
P
.01
.0000000
.0000020
.0001118
.0041524
.0913517
.9043821
.01
.02
.0000007
.0000298
.0008334
.0153137
.1667 496
.8170728
.02
.03
.0000053
.0001417
.0026179
.0317416
.2280693
.7374241
.03
.04
.0000211
.0004208
.0057711
.0519401
*2770136
.6648326
.04
.05
.0000609
.0009648
.0104751
.0746348
i3151247
.5987369
.05
.06
.0001438
.0018776
.OI68085
.0987502
.3437969
.5386151
.06
.07
.0002946
.0032622
.0247660
.1233878
.3642878
.4839823
• °T
.08
.0005442
.0052156
.0342741
.1478071
.3777290
. 4343885
.08
.09
.0009286
.0078242
.0452062
.1714071
.3851368
.3894161
.09
.10
.0014880
.0111603
.0573956
.1937103
.3874205
.3486784
.10
.11
.0022663
.0152802
.0706463
.2143473
.3853920
.3118172
.11
.12
.0033092
.0202227
.0847430
.2330432
•3797740
.2785010
.12
.13
.0046635
.0260081
.0994594
.2496050
.3712074
.2^84234
.13
.14
.0063758
.0326379
.1145656
.2639102
.•3602584
.2213016
.14
.13
.0084909
.0400957
.1298337
.2758967
.3474254
.1968744
.15
.16
.0110508
.0483476
.1450428
.2855531
.•3331452
.1749012
.16
.17
.0140940
.0573434
.1599833
.2929107
.3177984
.1551604
.17
.18
.0176535
.0670182
.1744599
.2980358
.3017152
.1374480
.18
.19
. 0217568
.0772936
.1882943
.3010231
.2851798
.1215767
.19
.20
.0264241
.0880804
.2013266
.3019899
.2684354
.1073742
.20
.21
.0316689
.0992794
.2134168
.3010703
.2516883
.0946828
.21
.22
.0374961
.1107842
.2244458
.2984109
.2351116
.0833578
.22
.23
.0439029
.1224828
.2343149
.2941670
.2188489
.0732668
*23
.24
.0508774
.1342597
.2429462
.2884987
.2030175
.0642889
.24
.25
.0583992
.1459980
.2502823
.2815676
.1877117
.0563135
.25
.26
.0664394
.1575807
.2562851
.2735350
.1730051
.0492399
,26
.27
.0749607
.1688930
.2609351
.2645593
.1589532
.0429763
.27
.28
.0839177
.1798234
.2642305
.2547936
.1455963
.0374391
.28
.29
.0932571
.1902661
.2661851
.2443854
.1329607
.0325524
.29
• 30
.1029193
.2001210
.2668279
.'2334745
.1210608
.0282475
.30
.31
.1128378
.2092958
.2662012
.2221921
.1099015
.024^619
Ol
.32
.1229405
.2177072
.2643586
.2106609
,0994787
.0211392
.32
.33
.1331509
.2252806
.2613646
.1989935
.0897815
.0182284
.33
.34
.1433887
.2319522
.2572916
.1872931
.0807931
.0156834
.34
.35
.1535704
.2376685
.2522196
.1756530
.0724917
.01346-27
.35
• 36
.I636l.ll
.2423869
.2462343
.1641563
.0648518
.0115292
.36
.37
.1734251
.2460761
.2394254
.1528764
.0578451
.0098493
•31
.38
.1829267
.2487160
.2318857
.1418774
.0514409
.0083930
.38
• 39
.1920317
.2502976
.2237092
.1312141
.0456072
.0071334
.40
.2006581
.2508227
.2149908
.1209324
.0403108
.0060466
.40
.41
.2087276
.2503034
.2058245
.1110698
.0355183
.0051112
.41
.42
.2161657
.2487623
.1963021
.1016565
.0311962
.0043080
.42
.^3
.2229036
.2462307
.1865137
.0927146
.02731.13
.0036203
.43
.44
.2288780
.2427494
.1765450
.0842601
.0238311
.0030331
.44
.45
.2340327
.2383667
.1664782
.0763026
.0207241
.0025330
.45
. 46
.2383189
.2331581
.1563907
.0,688460
.0179598
.0021083
.46
.47
.2416958
.2271255
.1463545
.0618892
.0155089
.0017489
.47
.48
.2441312
.2203963
.1364359
.0554270
.0133435
.0014456
.48
.49
.2456019
.2130221
.1266954
.0494500
• w J- J J ^ J
. 0114^74
.0011904
.49
. 30
.2460938
.2050781
.1171875
.0439453
.0097656
.0009766 i
.50
10
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
,n v r n-r
l r )P q
p
n=ll r = 10
11=11 r= 9
n=ll r= 8
n=ll r= 7
n-11 r= 6
n=ll r= 5
P
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.15
.14
.15
.16
.19
.20
.21
.22
.23
.24
.25
.26
.27
.28
.29
• 30
.31
.32
.33
.34
.35
• 36
.37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000 '
.0000000
.0000000
.0000001
.0000001
.0000002
.0000003
.0000006
.0000009
.0000015
.0000022
.0000035
.0000053
.0000079
.0000115
.0000165
.0000235
.0000329
.0000454
.0000623
.0000842
.0001128
.0001499
.0001972
.0002574
.0003332
.0004281
.0005463
.0006921
.0008712
.0010898
.0013551
.0016753
.0020601
.0025198
.0030665
.0037138
.0044763
.0053711
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.0000005
.0000009
.0000015
.0000027
.0000045
.0000074
.0000116
.0000180
.0000272
.0000404
.0000587
.0000839
.0001180
.0001635
.0002235
.0003016
.0004022
.0005305
.0006923
.0008948
.0011459
.0014547
.0018315
.0022879
.0028370
.0034930
.0042717
.0051905
.0062679
.0075242
.0089810
.0106614
.0125893
.0147901
.0172901
.0201159
.0232953
.0268554
.0000000
.0000000
.0000000
.0000000
.0000600
.0000000
.0000001
.0000002
.0000006
.0000012
.0006025
.0000049
.0000088
.0000155
.0000260
.0000420
.0000658
.0001002
.0001489
.0002163
.0003077
.0004297
.0005899
.0007973
.0010622
.0013962
.0018128
.0023267
.0029542
.0037132
.0046230
.0057044
.0069794
.0084712
.0102039
.0122024
.0144917
.0170973
.0200443
.0233570
.0270589
.0311718
.0357155
.0407070
.0461666
.0520868
.0584917
.0653768
.0727383
.0805664
.0000000
.0000000
.0000000
.0000000
.0000002
.0000007
.0000020
.0000050
.0000108
.0000217
.0000:403
.0000709
.0001186
.0001902
.0002943
.0004410
.0006426
.OOO9I35
.0012698
.0017302
.0023151
.0030469
.0039498
.0050494
.0063729
.0079480
.0098029
.0119661
.0144655
.0173283
.0205798
.0242438
.0283407
.0328883.
.0379004
.0433861
.0493501
.0557913
.0627026
.0700711
.0778770
.0860936
.0946875
.1036179
.1128372
.1222908
.1319175
.1416498
.1514144
.1611329
.QOOOOOO
.0000060
.0000003
.0000016
.0000056
.0000159
.0000378
.0000798
.0001532
.00027-28
.0004-571
.0007280
.OOIIII5
.0016365
.0023350
.0032416
.0043927
.0058256
.0075786
.0096888
.0121925
.0151234
.0185124
,0223861
.0267663
.0316694
.0371055
.0430777
.0495817
.0566056
.0641295
.0721251
.0805564
.0893790
.0985410
.1079834
.1176401
.1274389
.1373026
.1471493
.1568935
.1664477
.1757223
.1846283
.1930770
.2009823
.2082613
.2148356
.2206324
.2255859
.0000000
.0000013
.0000093
.0000370
.0001061
.0002478
.0005024
.0009180
.0015492
.0024553
.0036978
.OO53388
.0074383
.0100525
.0132315
.0170184
.021-4464
.0265392
.0323087
.038755^
.0458671
.0536196
.0619763
.0708891
.0802989
.0901362
.1003224
.1107712
.1213898
.1320798
.14273-9&
.1532658
.1635537
.1735003
.1830048
.1919704
.20030.59
.2079266
.2147553
.2207239
.2257737
.2298563
.2329343
.2349814
.2359830
.2359357
.2348477
.2327385
.2296379
.2255859
.01
.02
•03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
*23
.24
.25
,26
.27
.28
.29
.30
-31
.32
.33
.34
.35
.36
.37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
11
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
qD -r
p
n=ll r= 4
n=ll r- 3
n=ll r= 2
n-11 r= 1
n=ll r= 0
n=12 r=ll
p
.01
.0000031
.0001523
.0050243
.0994820
.89555.83
.0000000
.01
.02
.0000459
.0011230
.0183424
.1797560
.8007314
.0000000
.02
.03
.0002160
.0034916
.0376314
.2433500
.7153014
.0000000
.03
.04
.0006348
.0076179
.0609430
.2925264
.6382393
.0000000
.04
.05
.0014404
.OI3683O
.0866593
.3293053
.5688001
.0000000
.05
.06
.0027734
.0217250
.1134530
.355^860
.5062982
.0000000
.06
.07
.0047675
.0316695
.1402508
.3726664
.4501035
.0000000
.07
.08
.0075403
.0433567
.1662008
.3822618
.3996374
.0000000
.08
.09
.OIII885
.0565643
.1906428
.3855219
.3543687
.0000000
.09
.10
.0157838
.0710271
.2130812
.3835463
.3138106
.0000000
.10
.11
.0213705
.0864534
.2331622
.3772988
.2775173
.0000000
.11
.12
.0279652
.1025390
.2506509
.3676212
.2450809
.0000000
.12
.13
.0355568
.1189784
.2654132
.3552455
.2161284
.0000000
.13
.14
.0441077
.1354740
.2773989
.3408044
.1903194
.0000000
.14
.15
.0535565
.1517431
.2866260
.3248428
.1673^32
.0000000
.15
.16
.0638188
.1675244
.2931678
.3078262
.1469170
.0000000
.16
.17
.0747922
.I8258IO
.2971415
.2901500
.1287831
.0000000
.17
.18
.0863577
.1967036
.2986980
.2721471
.1127074
.0000001
. 18
.19
.0983838
.2097128
.2980129
.2540952
.0984771
.0000001
.19
.20
.1107296
.2214593
.2952790
.2362232
.0858993
.0000002
.20
.21
.1232482
.'2318241
.2907000
.2187172
.0747994
.0000003
.21
.22
.1357897
.2407181
.2844851
.'2017257
.0650191
.0000006
.22
.23
.1482041
.2480809
.2768438
JI85365I
.0564154
.0000009
.23
.24
.1603445
.2538788
.2679832
.1697226
.0488596
.0000014
.24
• 25
.1720691
.2581036
.2581036
.1548622
.0422351
.0000021
.25
.26
.1832438
.2607701
.2473972
.1408262
.0364375
.0000033
. 26
.27
.1937444
.2619136
.2360456
.1276395
.0313727
.0000048
.27
.28
.2034575
.2615881
.2242184
.1153123
.0269561
.0000072
.28
.29
.2122826
.2598632
.2120722
.1038423
.0231122
.0000103
.29
• 30
.2201331
.2568218
.1997504
.0932168
.0197733
.0000149
.30
• 31
.2269365
.2525583
.1873820
.0834153
.OI68787
.0000210
• 31
.32
.2326356
.2471754
.1750825
.0744101
.0143747
.0000294
.32
.33
.2371883
.2407821
.1629536
.0661690
.0122130
.0000406
• 33
.34
.2405676
.2334921
.1510831
.0586558
.0103510
.0000556
• 34
• 35
.2427614
.2254212
.1395466
.0518315
.0087508
.0000753
• 35
• 36
.2437720
.2166862
.1284066
.0456557
.0073787
.0001011
• 36
.37
.2436154
.2074023
.1177148
.0400866
.0062051
.0001345
.38
.2423205
.1976825
.1075115
.0350827
.0052037
.0001775
.38
• 39
.2399282
.187636!
.0978274
.0306024
.0043514
.0002324
• 39
.40
.2364899
.1773675
.0886837
.0266051
.0036280
.0003020
.40
• 4.1
.2320671
.1669750
.0800937
.0230514
.0030156
.0003896
. 41
.42
.2267290
.1565509
.0720632
.0199031
.0024987
.0004993
.42
.43
.2205524
.1461800
.0645912
.0171242
.0020636
.0006356
. 43
t. la
.44
.2136195
.1359396
.0576714
.0146800
.0016985
.0008041
.44
.45
.2060169
.1258992
.0512923
.0125381
.0013931
.0010113
• 45
la S’
. 46
.1978343
.1161202
.0454383
.0106681
.OOH385
.0012644
. 46
.47
.1891631
.1066558
.0400905
.0090417
.0009269
.0015723
• 47
.48
.1800952
.0975516
.0352270
.0076325
.0007517
.0019446
. 4o
A9
.1707220
.0888451
.0308238
.0064164
.0006071
.0023928
• 49
.50
.1611329
.0805664
.0268554
.0055711
.0004883
.0029297
• 50
12
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“' r
p
n=12 r=io
n=12 r~ 9
n=12 r = 8
n-12 r = 7
n=12 v- 6
n=12 r= 5
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000001
.0000022
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000006
.0000155
•03
.04
.0000000
.0000000
.0000000
.0000001
.0000030
.0000609
.04
.05
.0000000
.0000000
.0000000
.0000005
.0000106
.0001728
.05
.06
.0000000
.0000000
.0000001
.0000016
.0000297
,0003994
.06
.07
.0000000
.0000000
.0000002
.0000046
.0000703
.0008009
.07
.08
.ooooooo
.0000000
.0000006
.0000110
.0001468
.0014478
.08
.09
.0000000
.0000001
.0000014
.0000237
.0002788
.0024167
.09
.10
.0000000
.0000002
.0000032
.0000468
.0004910
.0037881
.10
.11
.0000000
.0000004
.0000066
.0000862
.0008135
.0056419
.11
.12
.0000000
.0000008
.0000128
.0001497
.0012813
.0080540
.12
.13
.0000001
.0000015
.0000231
.0002477
.00193^0
.0110937
.15
.14
.0000001
.0000029
.0000400
.0003927
.0028147
.0148203
.14
.15
.0000003
.0000052
.0000662
.0006004
.0039695
.0192803
.15
.16
.0000005
.0000090
.0001058
.0008892
.005^58
.0245065
.16
.17
.0000010
.0000149
.0001638
.0012802
.0072918
.0305152
.17
.18
.0000015
.0000241
.0002466
.0017977
.00955^1
.0373065
.18
.19
.0000027
.0000377
.0003619
.0024684
.0122774
.0448630
.19
.20
.0000043
.0000577
.0005190
.0033219
.0155022
.0531502
.20
.21
.0000069
.0000862
.0007292
.0043893
.0192642
.0621171
.21
.22
.0000106
.0001261
.0010054
.0057037
.0235926
.0716970
.22
.23
.0000162
.0001809
.0013627
.0072992
.0285090
.0818087
*23
.24
.0000242
.0002551
.0018178
.0092103
.0340268
.0923584
.24
.25
.0000354
.0003541
.0023898
.0114713
.0401494
.1032415
.25
.26
.0000510
.0004840
.0030997
.0141155
.0468708
.1143442
,26
.27
.0000724
.0006527
.0039701
.0171746
.0541741
.1255463
.27
.28
.0001013
.0008687
.0050257
.0206773
.0620319
.1367234
.28
.29
.0001400
.0011423
.0062925
.0246492
.0704061
.1477487
.29
.30
.0001910
.0014853
.0077977
.0291114
.0792479
.1584958
.50
.31
.0002576
.0019108
.0095696
.0340803
.0884986
.1688408
-51
.32
.0003436
.0024338
.0116370
.0395658
.0980901
.1786644
.52
.33
.0004538
.0030709
.0140287
.0455718
.1079455
.1878532
,55
• 34
.0005935
.0038403
.0167730
.0520952
.1179802
.1963031
• 54
.35
.0007692
.0047619
.0198977
.0591246
.1281033
.2039196
• 55
• 36
.0009884
.0058571
.0234286
.0666411
.1382187
.2106190
• 56
.37
.0012596
,0071493
.0273893
.0746174
.1482264
.2163504
•37
.38
.0015928
,0086626
.0318010
.0830173
.1580243
.2209963
.58
.39
.0019991
,0104231
.0366810
.0917966
.1675092
.2245727
.59
.40
.0024914
.0124571
.0420426
.1009024
.1765791
.2270304
.40
.41
.0030838
,0147922
.0478944
.1102737
.1851344
.2283540
.41
.42
.0037922
.0174563
.0542389
.1198423
.1950793
.2285429
.42
.43
.0046342
.0204769
.061 073 2 *
.1295525
.2003235
.2276100
. 43
.44
.0056292
.0238815
.0683878
.1392625
.2067836
.2255822
.44
.45
.0067982
.0276964
.0761651
.1489451
.2123847
.2224982
.45
.46
.0081642
.0319466
.0843866
.1584889
.2170609
.2184090
.46
.47
.0097515
.0366549
.0930018
.1677991
.2207569
.2133760
.47
.48
.0115868
.0418412
.IOI9878
.1767790
.2234290
.2074697
.48
.49
.0136976
.0475224
.1112896
.1853512
.2250451
.2007690
.49
. 50
m
.0161133
.0537109
.1208497
.1955595
.2255860
.1935593
. 50
13
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
n-12 r = 4
n-12 r- 3
n=12 v - 2
n=12 r= l
n=12 r- 0
n=13 r=12
p
.01
.0000045
.0002010
.0059689
.1074406
.8863849
.0000000
.01
.02
.0000673
.0014674
.0215708
.1921755
.7847167
.0000000
.02
• 03
.0003143
.0045157
.0438030
.2575085
.6938424
.0000000
.03
.04
.0009142
.0097508
.0702064
.3063548
.6127098
.0000000
.04
.05
.0020525
.0173319
.0987916
.3412800
.5403601
.0000000
.05
.06
.0039105
.0272287
.1279750
.3645347
.4759203
.0000000
.06
.07
.0066506
.0392702
.1565199
.3780870
.4185963
.0000000
.07
.08
.0104056
.0531842
.1834857
.3836519
.3676664
.0000000
.08
• 09
.0152724
.0686314
.2081819
.3827181
.3224755
.0000000
.09
.10
.0213082
.0852325
.2301277
»3765728
.2824295
.0000000
.10
.11
.0285296
.1025913
.2490173
.3663228
.2469904
.0000000
.11
.12
.0369141
.1203124
.2646873
.3529164
.2156712
.0000000
.12
.13
.0464016
.1380149
.2770915
.3371602
.1880317
.0000000
.13
.14
.0568990
.1553434
.2862757
.3197366
.1636746
.0000000
.14
.15
.0682844
.1719756
.2923585
.3012178
.1422418
.0600000
.15
.16
.0804117
.1876274
.2955131
.2820807
.1234103
.0000000
.16
.17
.0931163
.2020562
.2959530
.2627176
.1068900
.0000000
.17
.18
.1062199
.2150626
.2939189
.2434479
.0924201
.0000000
.18
.19
.1195363
.2264898
.2896685
.2245278
.0797664
.0000000
.19
.20
.1328756
.2362232
.2834678
.2061584
.0687195
.0000000
.20
.21
.1460492
.2441880
.2755836
.1884945
.0590915
.0000001
.21
.22
.1588740
.2503468
.2662780
.1716503
.0507149
.0000001
.22
.23
.1711758
.2546964
.2558037
.1557066
.0434399
.0000002
*23
.24
.1827927
.2572639
.2444006
.1407155
.0371333
.0000004
.24
.25
.1935777
.2581036
.2322932
.1267054
.0316764
.0000006
.25
.26
.2034006
.2572932
.2196887
.1136851
.0269638
.0000009
,26
.27
.2121501
.2549292
.2067760
.1016475
.0229020
.0000015
.27
.28
.2197340
.2511246
.1937247
.0905726
.019^084
.0000021
.28
,29
.2260809
.2460038
.1806856
.0804305
.0164097
.0000033
.29
.50
.2311397
.2397005
.1677902
.0711838
.0138413
.0000048
.30
.31
.2348793
.2323537
.1551523
.0627889
.0116463
.0000071
.31
.32
.2372881
.2241057
.1428674
.0551987
.0097748
.0000102
.32
.33
.2383742
.2150987
.1310146
.0483636
.008i827
.0000145
.33
.34
.2381620
.2054730
.1196578
.0422322
.0068317
.0000205
.34
.35
.2366923
.1953651
.1088463
.0367533
.0056880
.0000285
.35
• 36
.2340211
.1849056
.0986163
.0318759
.0047224
.0000394
.36
.37
.2302165
.1742180
.0889923
.0275505
.0039092
.0000540
•37
.38
.2253580
.1634176
.0799886
.0237286
.0032263
.0000731
.38
.39
.2195343
.1526107
.0716096
.0203646
.0026543
.0000982
.39
.40
.2128409
.1418940
.0638523
.0174142
.0021768
.0001309
.40
.41
.2053793
.1313537
.0567064
.0148367
.0017792
.0001730
.41
.42
.1972542
.1210661
.0501659
.0125933
.0014492
.0002271
.42
.*3
.1885723
.1110969
.044i803
.0106482
.0011762
.0002961
.43
.44
.1794403
.1015016
.0387552
.0089681
.0009512
.0003833
.44
.45
.1699639
.0923261
.0338529
.0075229
.0007662
■0004930
.45
. 46
1602456
.0836065
.0294440
.0062845
.0006148
.0006301
.46
.47
.1503847
.0753701
.0254975
.0052277
.0004913
.0008006
.47
.48
.1404743
.0676358
.0219816
.0043297
.0003909
.0010112
.48
.49
.1306024
.0604146
.0188642
.0035699
.0003696
.0012702
.49
.50
-
.1208497
-
.0537109
.0161133
.0029297
.0002441
.0015869
.50
14
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=13 r =n
n=13 r=io
n*13 r - 9
n=13 r= 8
n-13 r= 7
n-13 r- 6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000010
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000002
.0000053
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000010
.0000187
.05
.06
.0000000
.0000000
.0000000
.0000002
.0000033
.0000519
.06
.07
.0000000
.0000000
.0000000
.0000005
.0000092
.0001215
.07
.08
.0000000
.0000000
.0000001
.0000014
.0000218
.0002510
.08
.09
.0000000
.0000000
.0000002
.0000035
.0000466
.0004712
.09
.10
.0000000
.0000000
.0000005
.0000076
.0000912
.0008207
.10
.11
.0000000
.0000001
.0000010
.0000154
.0001662
.0013446
.11
.12
.0000000
.0000001
.0000022
.0000292
.0002856
.0020940
.12
.15
.0000000
.0000003
.0000043
.0000523
.0004670
.0031247
.13
.14
.0000000
.0000006
.0000080
.0000894
.0007318
.0044955
.14
.15
.0000001
.0000010
,0000143
.0001464
.0011057
.0062661
.15
.16
.0000001
.0000019
.0000244
.0002312
.0016182
.0084956
.16
.17
.0000002
.0000033
.0000402
.0003537
.0023021
.0112398
.17
.18
.0000003
.0000057
.0000641
.0005258
.0031938
.0145496
.18
.19
.0000006
.0000093
.000099*1
.0007621
.0043321
.0184686
.19
.20
.0000011
.0000150
.0001499
.0010796
.0057580
.0230317
.20
.21
.0000017
.0000235
.0002212
.0014979
.0075130
.0282633
.21
.22
.0000028
.0000361
.0003195
.0020390
.0096393
.0341756
.22
.23
.0000044
.0000541
.0004527
.0027281
.0121774
.0407680
.23
.24
.0000068
.0000796
.0006302
.0035920
.0151662
.0480264
.24
.25
.0000105
.0001150
.0008630
.0046602
.0186408
.0559225
.25
.26
•0000157
.0001636
.0011641
.0059638
.0226319
.0644139
,26
.27
.0000231
.0002290
.0015484
.0075353
.0271645
.0734446
.27
.28
.0000336
.0003162
.0020326
; 0094082
.0322566
.0829455
.28
.29
.0000479
.0004307
.0026358
.0116160
.0379187
0928354
.29
.30
.0000677
.0005793
.0033790
.0141918
.0441524
.1030223
.30
.31
.0000944
.0007700
.0042851
,0171679
.0509500
.1134047
• 31
.32
.0001299
.0010125
.0053789
.0205742
.0582935
.1238739
.32
.33
.0001769
.0013175
.0066870
.0244379
.0661551
.1343150
.33
.3*
.0002385
.001697*1
.0082374
.0287826
.0744960
.1446100
.34
.35
.0003182
.0021667
.0100593
.0336272
.0832671
.1546390
• 35
.36
•0004205
.0027412
.0121828
.O38985I
.0924091
.1642828
.36
.37
.0005508
.0034387
.0146381
.0448637
.1018527
.1734249
•37
.38
.0007153
.0042794
.0174552
.0512632
.1115200
.1819536
.38
.39
.0009215
.0052844
.0206637
.0581761
.1213245
.1897639
•39
.40
.0011777
.006*1777
.0242913
.0655866
.1311731
.1967596
.40
.41
.0014943
.0078842
.0283641
.0734699
.1409666
.2028545
.41
.42
.0018823
.0095311
.0329050
.0817924
.1506018
.2079740
.42
.43
.0023550
.0114466
.0379334
.0905108
.1599726
.2120567
.43
.44
.0029272
. 0136602
.0434642
.0995727
,1689718
.2150550
.44
.45
.0036154
.0162024
.0495074
.1089161
.1774929
.2169358
.45
. 46
.0044383
.0191041
.0560663
.1184704
.1854320
.2176810
.46
.47
.0054165
.0223961
.0631379
.1281566
.1926892
.2172879
.47
.48
.0085729
.0261089
.0707116
.1378875
.1991710
.2157685
.48
.49
.0079321
.0302718
.0787683
.1475700
.2047910
.2131490
.49
.50
.0095215
.0349121
.0872803
.1571044
.2094727
.2094727
. 50
15
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-13 r- 5
n-13 r= 4
n=13 r = 3
n=13 r- 2
n=13 r= 1
n=13 r= 0
P
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.19
.20
.21
.22
.23
.24
• 25
.26
.27
.28
.29
.30
.31
.32
.33
.34
.35
• 36
.37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
.0000001
.0000035
.0000246
.0000951
.0002669
.0006100
.0012104
.0021643
.0035738
.0055402
.0081595
.0115172
.0156837
.0207112
.0266310
.0334512
.0411574
.0497109
.0590510
.0690953
.0797428
.0908759
.1023632
.1140627
.1258255
.1374989
.1489293
.1599663
.1704650
.1802889
.1893127
.1974239
.2045252
.2105352
.2153901
.2190437
.2214683
.2226537
.2226078
.2213546
.2189343
.2154016
.2108238
.2052797
.1988578
.1916540
.1837701
.1753120
.1663874
.1571044
.0000066
.0000954
.0004402
.0012676
.0028164
.0053096
.0089339
.0138279
.0200746
.0277005
.0366764
.0469218
.0583113
.0706813
;0838381
.0975663
.1116360
.1258116
.1398574
.1535451
.1666584
.1789980
.1903855
.2006658
.2097092
.2174127
.2237005
.2285234
.2318586
.2337080
.2340963
.2330699
.2306933
.2270477
.2222278
.2163395
.209W1
.2018207
.1934341
.1844621
.1750289
.1652552
.1552578
.1451473
.1350269
.1249917
.1151278
.1055118
.0962104
.0872803
.0002586
.0018694
.0056944
.0121691
.0214048
.0332735
.0474777
.0636084
.0811910
.0997221
.1186982
.1376375
.1560949
.1736739
.1900330
.2048891
.2180187
.2292567
.2384938
.2456721
.2507811
.2538517
.2549510
.2541766
.2516510
.2475160
.2419278
.2350526
.2270615
.2181273
.2084213
.1981094
.1873509
.1762959
.1650835
.1538414
.1426844
.1317145
.1210203
.1106773
.1007483
.0912839
.0823228
.0738932
.0660131
.0586917
.0519300
.0457218
.0400549
.0349121
.0069836
.0249829
.Q502142
.0796523
.1109161
.1421686
. 1720296
.1994990
.223890I
.2447722
.2619209
.2752748.
.2849004
.2909602
.2936874
.2933639
.2903030
.2848341
.2772918
.2680060
.2572949
.2454599
.2327814
'.2195162
.2058963
.1921278
.1783913
.1648421
.1516116
.1388084
.1265196
.1148134
.1037398
.0933331
.0836138
.0745898
.0662589
.0586099
.0516240
:0452771
.0395398
.0,343796
.02 97615
.02 56469
.02'20044
.0267907
.0159707
.0135087
.01.13700
.0 095215
.1152301
.2040263
.2705985
.3186090
.3512340
.3712178
.3809226
.3823730
•3772963
.3671584
.3531962
•3364470
.3177735
.2978879
.2773714
.2566934
.2362269
.2162630
.1970231
.1786706
.1613198
.1450445
.1298853
.1158558
.1029481
.0911375
.0803862
*.0706466
.0618645
.0539810
.0469347
.0406631
.0351039
.0301960
.0258804
.0221007
.0188032
.0159377
.0134575
.0113192
.0094831
.0079127
.0065752
.0054406
.0044824
.0036764
.0030016
.0024390
.0019723
.0015869
.8775210
.7690224
.6730271
.5882014
.5133421
.4473651
.3892946
.3382531
.2934527
.2541866
.2198215
.1897906
.1635876
.1407602
.1209055
.1036647
.O887187
.0757844
.0646108
.0549756
.0466823
.0395576
.0334487
.0282213
.0237573
.0199532
.0167185
.0139741
.0116509
.0096889
.0080360
. 0066468
.0054824
.0045089
.0036972
.0030223
.0024628
.0020003
.0016192
.0013061
.0010497
.0008406
.0006705
.0005327
.0004214
.0003320
.0002604
.0002033
.0001579
.0001221
.01
.02
• 03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
*23
.24
.25
,26
.27
.28
.29
• 30
-31
• 32
• 33
.34
.35
.36
•37
.38
.39
.40
.41
.42
.43
.44
.^5
.46
.47
.48
.49
.50
16
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
--
n=l4 r=13
n=l4 r=i2
n=l4 r-11
n=l4 r*10
n=l4 r= 9
n=l4 r = 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000002
.0000030
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000005
.0000073
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000012
.0000159
.10
.11
.0000000
.0000000
.0000000
.0000002
.0000026
.0000320
.11
.12
.0000000
.0000000
.0000000
.0000004
.0000054
.0000600
.12
.13
.0000000
.0000000
.0000000
.0000008
.0000106
.0001062
.13
.14
.0000000
.0000000
.0000001
.0000016
.0000194
.0001793
.14
.15
.0000000
.0000000
.0000002
.0000030
.0000342
.0002902
.15
.16
.0000000
.0000000
.0000004
.0000055
.0000575
.0004531
.16
.17
.0000000
.0000000
.0000008
.0000095
.0000935
.0006849
.17
.18
.0000000
.0000001
.0000013
.0000161
.0001472
.0010061
.18
.19
.0000000
.0000001
.0000023
.0000264
.0002253
.001440-4
.19
.20
.0000000
.0000002
.0000039
.0000419
.0003359
.0020153
.20
.21
.0000000
.0000004
.0000063
.0000651
.0004893
.0027610
.21
.22
.0000000
.0000007
.0000101
•0000984
.0006979
.0037111
.22
.23
.0000001
.0000011
.0000159
.0001457
.0009761
.0049014
*23
.24
.0000001
.0000019
.0000243
.0002118
.0013410
.0063698
.24
.25
.0000002
.0000030
.0000366
.0003021
.0018123
.0081555
.25
.26
.0000003
.0000047
.0000542
.0004237
.0024120
.0102975
,26
.27
.0000004
.0000073
.0000787
.0005853
.0031648
.0128352
.27
.28
.0000007
.0000109
.0001127
.0007968
.0040978
.0158057
.28
.29
.0000010
. 0000163
.0001589
.0010702
.0052401
.0192437
.29
.30
.0000016
.0000237
.0002212
•0014192
.0066228
.0231800
.30
.31
.0000023
.0000342
.0003038
.0018597
.0082788
.0276403
-31
.32
. 0000035
.0000485
.0004124
.0024097
.0102414
.0326444
.32
.33
.0000051
.0000682
.0005533
.0030894
.0125448
.0382046
,33
• 34
.0000075
.0000946
.00073^5
.0039210
.0152228
.0443251
.34
• 35
.0000108
.0001299
.0009651
.0049291
.0183081
.0510012
.35
.36
.0000153
.0001766
.0012560
.0061401
.0218316
.0582178
.36
• 37
.0000215
.0002377
.0016194
.0075825
.0258216
.0659496
.38
.0000299
.0003171
.0020697
.0092862
.0303022
.0741608
.38
• 39
.0000412
.0004193
.0026230
.0112823
.0352935
.0828040
.39
.40
•0000564
.0005496
.0032977
.0136031
.0408094
.0918212
.40
.0000764
.0007148
.0041141
.0162810
.0468575
.1011435
.41
.42
.0001028
.0009223
.0050948
.0193481
.0534377
.1106924
.42
.0001371
.0011814
.0062644
.0228359
.0605417
.1203794
.43
It i.
.44
.0001816
.0015027
.0076497
.0267739
.0681520
.1301083
.44
• ^5
.0002389
.0018981
.0092795
.0311896
.0762413
.1397757
• 45
.46
.0003122
.0023818
.0111846
.0361067
.0847722
.1492727
. 46
.47
.0004052
.0029700
.0133970
.0415447
.0936967
.1584869
.47
), Q
.48
.0005227
.0036808
.0159501
.0475182
.1029561
.1673036
. 4o
.49
.0006703
.0045345
.0188786
.0540350
.1124812
.1756083
.49
• 50
.0008545
.0055542
.0222168
.0610962
.1221924
.1832886
• 50
17
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q “- r
p
n=l4 r = 7
n=l4 r = 6
n=l4 r = 5
n-14 r- 4
11=14 r- 3
n=l4 r= 2
P
.01
.0000000
.0000000
.0000002
.0000090
.0003259
.0080661
.01
.02
.0000000
.0000002
.0000053
.0001309
.0023317
.0285637
.02
.03
.0000001
.0000017
.0000370
.0005979
.0070300
.0568256
*03
.04
.0000004
.0000089
.0001420
.0017037
.0148684
.0892105
.04
.05
.0000019
.0000311
.0003943
.0037458
.0258804
.1229320
.05
.06
.0000062
.0000854
.0008920
.0069874
.0398072
.1559115
.06
.07
.0000170
.0001977
.0017510
.0116321
.0561963
.1866521
.07
.08
.0000402
.0004040
.0030975
.0178103
,0744796
.2141289
.08
.09
.0000849
.0007505
.0050588
.0255751
.0940339
.2376967
.09
.10
.0001642
.0012927
.0077561
.0349027
.1142271
.2570109
.10
.11
.0002958
.0020943
.0112963
.0456988
.1344527
.2719612
.11
.12
.0005026
.0032248
.0157657
.0578077
.1541539
.2826155
.12
.13
.0008125
.0047574
.0212253
.0710231
.1728396
.2891740
.15
.14
.0012588
.0067656
.0277071
.0851002
.1900940
.2919301
.14
.15
.0018799
.0093208
.0352120
.0997673
.2055812
.2912400
.15
.16
.0027186
.0124885
.0437096
.1147379
.2190451
.2874967
.16
.17
.0038215
.0163258
.0531388
.1297211
.2303070
.2811101
.17
.18
.0052378
.0208786
.0634091
.1444317
.2392607
.2624913
.18
.19
.0070181
.0261792
.0744042
.1585983
.2458654
.2620408
.19
.20
.0092137
.0322445
.0859852
.1719705
.2501389
.2501389
.20
.21
.0118706
.0390740
.0979951
.1843241
.2521490
.2371401
.21
.22
.0150372
.0466497
.1102627
.1954658
.2520056
.2233685
.22
.23
.0187533
.0549349
.1226082
.2052356
.2498521
.2091152
*23
.24
.0230527
.0638751
.1348474
.2135084
.2458581
.1946377
.24
.25
.0279613
.0733982
.1467964
.2201946
.2402124
.1801592
.25
.26
.0334953
.0834159
.1582765
.2252395
.2331151
.1658703
.26
.27
.0396601
.0938255
.1691175
.2286219
.2247730
.1519299
*27
.28
.0464495
.1045114
.1791623
.2303516
.2153936
.1384674
.28
.29
.0538445
.1153481
.1882691
.2304675
.2051810
.1255849
.29
.30
.0618134
.1262023 <■
.1963146
.2290338
.1943316
.1133602
.30
.31
.0703109
.1369362
.2031956
.2261371
.1830318
.1018483
*51
.32
.0792793
.1474098
.2088306
.2218826
.1714547
.0910853
*52
.33
.0886479
.1574843
.2131607
.2163903
.1597593
.0810899
• 53
.34
.0983348
.1670246
.2161494
.2 097921
.1480885
.0718665
*34
.35
.1082473
.1759018
.2177833
.2022273
.1365691
.0634071
*35
• 36
.1182836
.1839967
.2180702
.1958402
.1253109
.0556937
.36
.37
.1283V44
.1912010
.2170389
.18*47764
.1144070
.0487003
.38
.1382847
.1974197
.2147372
.175£ 8 °3
.1039348
.0423944
.38
• 39
.1480159
.2025731
.2112300
.1652.927
.0939557
.0367391
• 39
.40
.41
.42
.43
.44
*45
.46
.47
.48
.49
.40
.1574077
.2065976
.2065976
.1549482
.0845172
.0316940
.41
.1663407
.2094472
.2009330
.1445759
.0756528
.0272165
.42
.1746981
.2110936
.1943401
.1341872
.0673841
.0232635
.43
.1823688
.2115265
.1869305
.1238957
.0597215
.0197914
. 44
.1892484
.2107539
.1788214
.1137955
.0526657
.0167573
.45
.1952422
.2088007
.1701339
.1039707
.0462092
.0141195
. 46
.2002666
.2057085
.1609894
.0944937
.0854248
.0403372
.QH8381
.47
.2042506
.2015345
.1515083
.0350292
.0098752
.48
.2071378
.1963494
.1418078
.0768126
.0302595
.0081955
.49
.2088868
.1902362
.1320007
.0686942
.0259993
.0067651
• 30
.2094726
.1832886
.1221924
.0610962
.0222168
.0055542
• 50
18
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
| n=l4 r= 1
n=l4 r- 0
n=15 r-l4
n-15 r=l3
n=15 r=12
n-15 r-11
p
.01
.1228530
.8687458
.0000000
.0000000
.0000000
.0000000
.01
.02
.2153263
.7536419
.0000000
.0000000
.0000000
.0000000
.02
.03
.2826714
.6528363
.0000000
.0000000
.0000000
.0000000
.03
.04
.3293928
.5646733
.0000000
.0000000
.0000000
.0000000
.04
.05
.3593394
.4876750
.0000000
.0000000
.0000000
. OOO'OOOO
.05
.06
•3757867
.4205252
.0000000
.0000000
.0000000
.0000000
.06
.07
.3815087
.3620439
.0000000
.0000000
.0000000
.0000000
.07
.08
.3788435
.3111928
.0000000
.0000000
.0000000
.0000000
.08
.09
•3697503
.2670420
.0000000
.0000000
.0000000
.0000000
.09
.10
.3558612
.2287679
.0000000
.0000000
.0000000
.0000000
.10
.11
.3385250
.1956411
.0000000
.0000000
.0000000
.0000000
.11
.12
.3188483
.1670157
.0000000
.0000000
.0000000
.0000001
.12
.13
.2977293
.1423212
.0000000
.0000000
.0000000
.0000001
.13
.14-
.2758900
.1210538
.0000000
.0000000
.0000000
.0000003
.14
.13
.2539015
.1027697
.0000000
.0000000
.0000000
.0000007
.15
.16
.2322088
.0870783
.0000000
.0000000
.0000001
.0000012
.16
.17
.2111505
.0736365
.0000000
.0000000
.0000002
.0000022
.17
.18
.1909768
.0621432
.0000000
.0000000
.0000003
.0000040
.18
.19
.1718647
.0523348
.0000000
.0000000
.0000006
.0000068
.19
.20
.1539316
.0439805
.0000000
.0000001
.0000009
.0000115
.20
.21
.1372460
.0368790
.0000000
.0000001
.0000017
.0000186
.21
.22
.1218374
.0308549
.0000000
.0000002
.0000028
.0000295
.22
• 23
.1077049
.0257555
.0000000
.0000003
.0000046
.0000457
*23
.24
.0948235
.0214482
.0000000
.0000006
.0000073
.0000692
.24
.25
.0831505
.0178179
.0000000
.0000009
.0000115
.0001029
.25
.26
.0726296
.0147654
.0000001
.0000014
.0000176
.0001502
,26
.27
.0631959
.0122045
.0000001
.0000023
.0000266
.0002154
.27
.28
.0547783
.0100613
.0000002
.0000035
.0000395
.0003042
.28
.29
.0473026
.0082721
.0000003
.0000055
.0000576
.0004232
.29
.30
.0406934
.0067822
.0000005
.0000082
.0000830
.0005805
.30
.31
.0348761
.0055448
.0000008
.0000122
.0001177
.0007862
-31
.32
.0297778
.0045199
.0000012
.0000180
.0001649
.0010515
,32
.33
.0253288
.0036732
.0000018
.0000259
.0002283
.0013902
.33
.34
.0214624
.0029759
.0000027
.0000371
.0003122
.0018179
.34
• 35
.0181163
.0024032
.0000041
.0000524
.0004223
.0023525
.35
• 36
.0152324
.OOI 9343
.0000059
.0000734
.0005652
.0030142
.36
• 37
.0127572
.0015516
.0000085
.0001016
.0007489
.0038257
.38
.0106415
.0012402
.0000122
.0001390
.0009831
.0048119
.38
.39
.0088406
.0009877
.0000173
.0001886
.0012788
.0060001
.39
.40
.0073140
.0007836
.0000241
.0002537
.0016489
.0074199
.40
.0060255
.0006193
.0000335
.0003382
.0021085
.0091025
.41
.42
.0049425
.0004875
.0000463
.0004469
.0026748
.0110812
.42
.43
.0040361
.0003822
.•0000631
.0005862
.0033671
.0133902
.43
.44
.0032811
.0002983
.0000856
.0007629
,0042073
.0160644
.44
.^5
.0026549
.0002318
.0001152
.0009855
.0052198
.0191391
• 45
1*/^
. 46
.0021380
.0001793
.0001539
.0012642
.0064311
.0226488
. 46
.47
j. 0
.0017132
.0001380
.0002040
.0016107
.0078707
.0266264
.47
), Q
.48
.0013659
.0001057
.0002689
.0020386
.0095701
.0311028
. 40
.49
.0010833
.0000805
.0003519
.0025638
.0115631
.0361053
.49
.50
.0008545
.0000610
.0004578
.0032043
.0138855
.0416565
• 50
19
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q D * r
p
n=15 r«:10
n*15 9
n-15 r- 8
n=15 r- 7
n=l5' r= 6
n=15 r= 5
P
.01
.0000000
.0000000
.0000000
,0000000
.0000000
.0000003
.01
.02
.0000000
.0000000
.'■0000000
.OOOOOOC
.0000003
.0000078
.02
.03
.0000000
.0000000
.0000000
.0000001
.0000028
.0000538
.03
.04
.0000000
.0000000
.0000000
.0000008
.0000142
.0002044
.04
.05
.0000000
.0000000
.0000002
.0000033
.0000493
.0005619
.05
.06
.0000000
.0000000
,0000007
.0000110
.0001338
.0012578
.06
.07
.0000000
.0000001
.0000023
.0000296
.0003065
.0024427
.07
.08
.0000000
.0000004
.0000061
.0000692
.0006195
.0042745
.08
.09
.0000001
.0000011
.0000143
.0001447
.OOII383
.0069052
.09
.10
.0000002
.0000026
.0000308
.0002770
.0019391
.0104708
.10
.11
.0000005
.0000058
.0000610
.0004937
.0031065
.0150806
.11
.12
.0000009
.0000120
.0001131
.0008293
.0047297
.0208108
.12
.13
.0000021
.0000230
.0001981
.0013252
,0068983
.0276990
.13
.14
.0000041
.0000418
.0003305
.0020297
.0096974
.0357421
.14
.15
.0000076
.0000726
.0005287
.0029960
.0132045
.0448953
.15
.16
.0000138
.0001208
.0008156
.0042817
.0174839
.0550742
.16
• 17
.0000238
.0001941
.0012181
.0059472
.0225840
.0661578
.17
.18
.0000397
.0003018
,0017678
.0080532
.0285341
.0779931
.18
.19
.0000642
.0004561
.0025002
.0106587
.0353420
.0904011
.19
.20
.0001007
.0006718
.0034547
.0138191
.0429926
.1031823
.20
.21
.0001541
.0009664
.0046740
.0175833
.0514474
.11.61242
.21
.22
.0002303
.0013607
.0062029
.0219919
.0606446
.1290074
.22
.23
.0003367
.0018789
.0080874
.0270750
.0704998
.1416125
,23
.24
.0004828
.0025479
.0103737
.0328501
.0809084
.1537261
.24
.25
.0006796
.0033981
.0131068
.0393205
.0917478
.1651460
.25
.26
.0009407
.0044623
.0163289
.0464746
.1028797
.1756868
,26
.27
.0012818
.0057758
.0200780
.0542847
.1141543
.1851837
.27
.28
.0017211
.0073760
.0243860
.0627068
.1254136
.1934953
.28
.29
.0022794
.0093011
.0292780
.0716806
.1364951
.2005067
.29
• 30
.0029803
.0115900
.0347700
.0811301
.1472360
.2061303
.30
.31
.0038496
.0142809
.0408682
.0909647
.1574766
.2103075
• 31
.32
.0049159
.0174103
.0475676
.1010810
.1670645
.2130072
.32
.33
.0062097
.0210125
.0548509
.1113639
.1758575
.2142265
• 33
.34
.0077637
.0251175
.0626885
.1216893
.1837270
.2139879
• 34
.35
.0096118
.0297506
.0710373
.1319264
.1905604
.2123387
• 35
.36
.0117891
.0349306
.0798415
.1419403
.1962632
.2093474
•37
.0143310
.0406689
.0890321
.1515950
.2007610
.2051018
.38
.0172723
.0469685
.0985279
.1607560
.2040003
.1997056
.38
.39
.0206467
.0538226
.1082366
.1692932
.2059493
.1932754
.40
.0244856
.0612141
.1180558
.1770836
.2065976
.1859379
.40
.41
.0288173
.0691148
.1278744
.1840143
.2059564
.1778258
.41
.42
.0336658
.0774846
.1375748
.1899842
.2040571
.1690759
.42
• 4 -?
.0390494
.0862718
.1470349
.1949066
.2009502
.1598256
.43
!• >•
.44
.0449803
.0954127
.1561300
.1987108
.1967036
.150210.1
.44
• 45
.0514628
.1048318
.1647356
.2013435
.1914006
.1403605
• 45
. 46
.0584928
.1144424
.1727299
.2027699
.1851377
.1304014
.46
.47
.0660562
.1241480
.1799959
.2029741
.1780221
.1204490
*47
ItO
.48
.0741283
.1338429
.1864240
.2019594
.1701694
.1106102
.48
.49
.0826736
.1434134
.1919148
.1997480
.1617008
.1009805
• 49
• 50
.0916443
.1527405
.1963806
.1963806
.1527405
.091644-3
• 50
20
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
q
p
n*15 r= 4
n-15 r- 3
n=15 r- 2
n=15 v~ 1
n=15 r= 0
n-16 r=15
p
.01
.0000122
.0004033
.0092140
.1303118
.8600584
.0000000
.01
.02
.0001749
.0028564
.0322989
.2260926
.7385691
.0000000
-.02
.03
.0007909
.0085238
.0636011
.2937763
.6332512
.0000000
.03
.04
.0022303
.0178421
.0988178
.3388040
.5420864
.0000000
.04
.05
.0048526
.0307329
.1347523
.3657563
.4632912
.0000000
.05
.06
.0089566
.0467734
.1691040
.3784709
.3952918
.0000000
.06
.07
.0147515
.0653283
.2002920
.3801461
.3367009
.0000000
.07
.08
.0223439
.0856515
.2273061
.3734314
.2862974
.0000000
.08
.09
.0317365
.1069635
.2495815
.3605066
.2430082
.0000000
.09
.10
.0428351
.1285055
.2668959
.3431519
.2058911
.0000000
.10
.11
.0554617
.1495786
.2792832
.3228078
.1741206
.0000000
.11
.12
.0693692
.1695693
.2869634
.3006283
.1469739
.0000000
.12
.13
.0842593
.1879630
.2902862
.2775263
.1238194
.0000000
.13
.14
.0997994
.2043511
.2896844
.2542130
.1041062
.0000000
.14
.15
.1156394
.2184300
.2856392
.2312318
.0873542
.0000000
.15
.16
.1314270
.2299974
.2786506
.2089879
.0731458
.0000000
.16
.IT '
.1468207
.2389435
.2692169
.1877732
.O6III83
.0000000
.17
.18
.1615009
.2452422
.2578187
.1677867
.0509575
.0000000
.18
.19
.1751791
.2489387
.2449073
.1491540
.0423912
.0000000
.19
.20
.1876042
.2501389
.2308974
.1319414
.0351844
.0000000
.20
.21
.1985674
.2489971
.2161624
.1161689
.0291344
.0000000
.21
.22
.2079046
.2457053
.2010317
.1018213
.0240668
.0000000
.22
.23
.2154974
.2404826
.1857908
.0888566
.0198317
.0000000
*23
.24
.2212723
.2335653
.1706823
.0772134
.0163006
.0000000
.24
.25
.2251990
.2251991
.1559070
.0668173
.0133635
.0000000
.25
.26
.2272872
.2156315
.1416277
.0575849
.0109264
.0000000
,26
.27
.2275827
.2051054
.1279717
.0494282
.0089093
.0000000
.27
.28
.2261634
.1938543
.1150344
.0422575
.0072442
.0000001
.28
.29
.2231344
.1820981
.1028831
.0359837
.0058732
.0000001
.29
.30
.2186232
.1700402
.0915601
.0305200
.0047476
.0000002
.30
.31
.2127744
.1578649
.0810870
.0257834
.0038259
.0000003
.32
.2057457
.1457364
.0714670
.0216953
.0030735
.0000004
.32
.33
.1977021
.1337983
.0626888
.0181824
.0024611
.0000007
.33
.34
.1888129
.1221730
.0547291
.0151770
.0019641
.0000010
.34
.35
.1792469
.1109624
.0475553
.0126167
.0015621
.0000015
.35
.36
.1691696
.1002487
.0411276
.0104452
.0012379
.0000022
.36
.57
.1587397
.0900955
.0354014
.0086111
.0009775
.0000034
•37
.38
.1481070
.0805495
.0303283
.0070690
.0007689
.0000049
.33
.39
.1374103
.0716413
.0258587
.0057779
.0006025
.0000072
•39
.40
.1267758
.0633879
.0219420
.0047018
.0004702
.0000103
.40
.41
.1163162
.0557940
.0185282
.0038089
.0003654
.0000147
.41
.42
.1061299
.0488535
.0155687
.0030713
.0002828
.0000208
.42
.*3
.0963008
.0425515
.0130166
.0024650
.0002178
.0000289
.4}
.44
.0868983
.0368660
.0108278
.0019687
.0001670
.0000402
.44
.45
.0779780
.0317689
.0089604
.0015645
.0001275
.0000553
.45
.46
.0695817
.0272277
.0073760
.0012370
.0000968
.0000755
.46
.47
.0617389
.0232068
.0060391
.0009729
.0000731
.0001023
.47
.48
.054^671
.0196687
.0049171
.0007610
.0000550
.0001377
.48
.49
.0477737
.0165746
.0039810
.0005919
.0000411
.0001840
.49
.50
.0416565
.0138855
.0032043
.0004578
.0000305
.0002441
.50
21
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=l6 rsl4
n=l6 r.^
n=l6 r*12
11=16 r = H
n=l6 r=10
n=l6 r= 9
p
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
* l6 i
.17
.18
.19
.20
.21
.22
.23
.24
.25
.26
.27
.28
.29
• 30
.31
.32
.33
.34
.35
.36
.37
.38
.39
.40
.41
.42
• *3
.44
.45
.46
.47
.48
.49
.50
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.00.0(5001
.0000002
.0000003
.0000004
.0000007
.0000011
.0000018
.0000028
.0000043
.0000066
.0000097
.0000144
.0000209
.0000302
.0000429
.0000604
.0000840
.0001160
.0001585
.0002145
.0002881
.0003836
.0005069
.0006646
.0008651
.0011183
.0014357
.0018311
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000001
.0000002
.0000005
.0000008
.0000013
.0000021
.0000035
.0000057
.0000089
.0000136
.0000206
.0000306
.0000449
.0000649
.0000927
.0001307
.0001819
.0002504
.0003411
.0004598
.0006138
.0008118
.0010639
.0013827
.0017820
.0022784
.0028909
.0036410
.0045529
.0056537
.0069734
.0085449
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000001
.0000003
.0000005
.0000009
.0000018
.0000031
.0000052
.0000087
.0000140
.0000222
.0000343
.0000521
.0000775
.0001136
.0001636
.0002322
.0003250
.0004487
.0006117
.00082^1
.0010979
.0014469
.0018873
.002^380
.0031201
.0039572
.0049761
.0062054
.0076770
.0094245
•0114835
.0138913
.0166859
.0199058
.0235888
.0277710
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.0000004
.0000008
.0000017
.0000032
.0000059
.0000104
.0000177
.0000293
.0000470
.0000736
.0001126
.0001685
.0002471
.0003557
.0005034
.0007009
.0009615
.0013005
.0017358
.0022881
.0029807
.0038395
.0048932
.0061732
.0077127
.0095469
.0117123
.0142462
.0171856
.0205667
.0244236
.0287873
.0336847
.0391370
.0451584
.0517551
.0589237
.0666504
.OOOOOQO
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.0000005
.0000010
.0000023
.0000048
.0000094
.0000174
.0000309
.0000528
.0000869
.0001387
.0002150
.0003247
.0004790
.0006915
.0009784
.0013593
.0018563
.0024952
.0033045
.0043157
.0055632
.0P70833
.0089141
.0110946
.0136639
.0166604
.0201200
.0240760
.0285568
.0335853
.0391770
.0453393
.0520697
,0593551
.0671706
.0754789
.0842296
.0933594
.1027913
.1124362
.1221923
.0000000
.0000000
.0000000
.0000000
.'0000000
.0000001
.0000003
.0000008
.0000023
.0000054
.0000119
.0000241
.0000458
.0000822
.0001410
.0002320
.0003682
.0005657
.0008445
.0012283
.0017450
.0024260
.0033068
.0044261
.0058252
.0075476
.0096374
.0121388
.0150945
.0185440
.0225229
..02706 06
.0321792
.0378917
.0442010
.0510985
.0585633
.0665611
.0750441
.0839508
.0932062
.1027225
.1123999
.1221283
.1317885
.1412547
.1503965
.1590819
.1671791
.1745606
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
*23
.24
.25
,26
.27
.28
.29
.30
.31
.32
,33
.34
.35
.36
•37
.38
•? 9
.40
.41
.42
.43
.44
.45
.46
i47
.48
.49
.50
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
n-16 r= 8
n=l6 r-
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.19
.20
.21
.22
.23
.24
• 25
.26
.27
.28
.29
• 30
• 31
.32
.33
.34
.35
• 36
.39
.40
.41
.42
• 43
.44
.0000000
.0000000
.0000000
.0000001
.0000003
.0000013
.0000041
.0000111
.0000260
.0000554
.0001086
.0001990
.0003445
.0005683
.0008988
.0013702
.0020220
.0028992
.0040503
.0055277
.0073850
.0096765
.0124545
.0157680
.0196603
.0241668
.0293137
.0351158
.0415747
.0486781
.0563982
.0646919
.0735002
.0827487
. 0923^85
.1021971
.1121803
.1221746
.1320487
.1416669
.1508918
.1595868
.1676197
.1748655
.1812092
.1865483
.1907956
.1938809
.1957530
. 1963806
.0000000
.0000000
.0000002
.0000013
.0000057
.0000183
.0000491
.0001133
.00023*12
.0004432
.0007811
.0012973
.0020498
.0031032
.0045273
.0063941
.0087755
.0117397
.0153485
.0196537
.0246948
.0304955
.0370628
.0443841
.0524273
.0611399
.0704496
.0802647
.0904768
.1009618
..1115834
.1221958
.1326468
.1427822
.1524483
.1614966
.1697865
•.1771888
.1835890
.1888893
.1930105
.1958948
.1975054
.1978277
.1968592
.1946591
.1912467
.1867002
.1811049
.1745606
7
n=l6
r-
.0000000
.0000004
.0000043
.0000218
.0000749
.0002013
.0004559
.0009119
.0016572
.0027923
.0044236
.0066595
.0096023
.0133437
.0179581
.0234983
.0299915
.0374367
.0458032
.0550306
.0650295
.0756844
.0868557
.0983847
.1100973
.1218096
.1333322
.1444765
.1550584
.1649043
.1738542
.1817661
.1885193
.1940157
.1981827
.2009735
.2023671
.2023684
.2010065
.1983337
.1944229
.1893650
.1832666
.1762464
.1684325
.1599589
.1509628
.1415810
.1319479
.1221923
n-16 n 5
n-16 r- 4
.0000004
.0000112
.0000759
.0002854
.0007764
.0017197
.0033044
.0057200
.0091401
.0137072
.0195226
.0266378
.0350519
.0447101
.0555069
.0672906
.0798705
.0930246
.1065089
.1200667
.1334373
.1463648
.1586060
.1699371
.1801592
.1891029
.1966315
.2026424
.2070687
.2098782
.2110722
.2106835
.2087734
.2054284
.2007566
.1948834
.1879478
.1800981
.1714880
.1622730
.1526069
.1426386
.1325099
.1223529
.1122884
.1024244
.0928552
.0836615
.0749091
. O66S504
.0000161
.0002285
.0010229
.0028548
.0061466
.0112256
.0182919
.0274085
.0385069
.0514022
.0658146
.0813932
.0977408
.1144366
.1310580
.1471983
.1624816
.1765743
.1891934
.2001111
.2091576
.2162207
.2212440
.2242227
.2251991
.2242567
.2215137
.2171168
.2112339
.2040482
.1957525
.1865427
.1766138
.1661553
.1553474
.1443580
.1333413
.1224351
.1117604
.1014207
.0915020
.0820738
.0731886
.0648842
.0571839
.0500988
.0436288
.0377639
.0324862
.0277710
n-16 r- 3
.0004914
.0034453
.0101762
.0210811
.0359340
.0541133
.0747757
.0969839
.1197991
.1423445
.1638461
.1836566
.2012650
.2162978
.2285114
.2377819
.2440900
.2475060
.2481727
.2462906
.2421018
.2358772
.2279035
.2184733
.2078760
.1963905
.1842793
.1717847
.1591258
.1464962
.1340637
.1219703
.1103322
.0992421
.0887699
.0789651
.0698587
.0614654
.0537861
.0468095
.0405150
.0348738
.0298515
.0254091
.0215051
.0180959
.0151380
.0125879
.0104037
.0085449
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
.23
.24
.25
,26
.27
.28
.29
.30
.31
.32
• 33
.34
• 35
.36
•37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
832939 0 - 50 -3
23
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P 0.
p
n=l6 r-2
n=16 r= 1
n=l6 r- 0
n=17 r=i6
n-17 r=15
n-17 r=l4
p
.01
.0104250
.1376093
.8514578
.0000000
.0000000
.0000000
.01
.02
.0361748
.2363421
.7237977
.0000000
.0000000
.0000000
.02
.03
.0705063
.3039605
.6142537
.0000000
.0000000
.0000000
.03
.04
.1084173
.3469353
.5204029
.0000000
.0000000
.0000000
.04
.05
.1463024
•3706330
.4401267
.0000000
.0000000
.0000000
.05
.06
.1816660
.3794801
.3715743
.0000000
..OO'OOOOO
.0000000
.06
.07
.2128818
.3771050
.3131318
.0000000
.0000000
.0000000
.07
.08
.2389961
•3664607
.2633936
.0000000
.0000000
.0000000
.08
.09
.2595648
.3499318
.2211374
.0000000
.0000000
.0000000
.09
.10
.2745215
.3294258
.1853020
.0000000
.0000000
.0000000
.10
.11
.2840709
.3064522
.1549673
.0000000
.0000000
.0000000
.11
.12
.2886032
.2821898
.1293370
.0000000
.0000000
.0000000
.12
.15
.2886274
.2575444
.1077229
.0000000
.0000000
.0000000
.13
.14
.2847185
.2331979
.0895314
.0000000
.0000000
.0000000
.14
.15
.2774781
.2096501
.0742511
.0000000
.0000000
.0000000
.15
.16
.2675045
.1872532
.0614425
.0000000
.0000000
.0000000
.16
.17 '
.2553715
.1662418
.0507282
.0000000
.0000000
.0000000
.17
.18
.2416129
.1467575
.0417851
.0000000
.0000000
.0000000
.18
.19
.2267142
.1288692
.0343368
.0000000
.0000000
.0000000
.19
.20
.2111062
.1125900
.0281475
.0000000
.0000000
.0000001
.20
.21
.1951638
.0978916
.0230162
.0000000
.0000000
.0000001
.21
.22
.1792054
.0847153
.0187721
.0000000
.0000000
.0000002
.22
.23
.1634959
.0729809
.0152704
.0000000
.0000000
.0000004
*23
.24
.1482498
.0625943
.0123885
.0000000
.0000000
.0000007
.24
.25
.1336347
.0534538
.0100226
.0000000
.0000001
.0000010
.25
.26
.1197766
.0454537
.0080855
.0000000
.0000001
.0000018
,26
.27
.1067650
.0384881
.0065038
.0000000
.0000002
.0000029
.27
.28
.0946569
.0324538
.0052158
.0000000
.0000004
.0000046
.28
.29
.0834822
.0272517
.0041700
.0000000
.0000006
.0000073
.29
.30
.0732481
.0227883
.0033233
.0000001
.0000009
.0000112
.30
.31
.0639428
.0189766
.0026399
.0000001
.0000015
.0000169
.31
.32
.0555400
.0157363
.0020900
.0000001
.0000024
.0000253
.32
.33
.0480017
.0129944
.0016489
.0000002
.00Q0037
.0000371
.33
.34
.0412814
.0106846
.0012963
.0000004
.0000055
.0000540
.34
.35
.0353268
.0087476
.0010153
.0000006
.0000083
.0000773
.35
• 36
.0300820
.0071305
.0007923
.0000009
.0000123
.0001095
.36
.37
.0254890
.0057867
.0006158
.0000014
.0000180
.0001532
'Zb
.38
.0214898
.0046750
.0004767
.0000020
.0000260
.0002121
.38
.39
.0180272
.0037595
.0003675
.0000030
.0000372
.0002906
.40
.0150459
.0030092
.0002821
.0000044
.0000525
.0003943
.40
.41
.0124933
.0023971
.0002156
.0000064
.0000736
.0005297
.41
.42
.0103198
.0019002
.0001640
.0000092
.0001022
.0007051
.42
• 43
.0084794
.0014987
.0001242
.0000132
.0001404
.0009305
.43
.44
.0069298
.0011760
.0000935
.0000188
.0001913
.0012173
.44
.45
.0056322
.0009179
.0000701
.0000264
.0002585
.0015797
.45
t. /*
. 46
.0045521
.0007125
.0000523
.0000369
.0003465
.0020338
.46
.47
j t n
.0036579
.0005500
.0000388
.0000510
.0004609
.0025984
w47
1.0
.48
.0029222
.0004221
.0000286
.0000702
.0006084
.0032953.
. 48
.49
.0023203
.0003221
.0000209
.0000958
.0007973
•0041492
.49
• 50
.OOI83II
.0002441
.0000153
.0001297
.0010376
.0051880
. 50
24
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
n-17 r=13
n=17 r =12
n=17 r=»ll
n=l7 r=lO
n-17 r« 9
n=17 r» 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.000000c
.0000000
>0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000006
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000002
.0000023
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000006
.0000073
.07
.08
.0000000
.0000000
.0000000
.0000001
.0000017
.0000193
.08
.09
.0000000
.0000000
.0000000
.0000004
.0000044
.0000448
.09
.10
.0000000
.0000000
.0000001
.0000009
.0000105
.0000941
.10
.11
.0000000
.0000000
.0000002
.0000022
.0000226
.0001826
.11
.12
.0000000
.0000000
.0000005
.0000049
.0000451
.0003308
.12
.13
.0000000
.0000001
.0000009
.0000102
.0000846
.0005662
.13
.14
.0000000
.0000002
.0000020
.0000196
.0001503
.0009232
.14
.15
.0000000
.0000004
.0000040
.0000360
.0002546
.0014431
.15
.16 ,
.0000001
.0000007
.0000076
.0000631
.0004141
.0021740
.16
•!T 1
.0000001
.0000014
.0000139
.0001064
.0006493
.0031701
.17
.18
.0000002
.0000027
.0000242
.0001731
.0009857
.0044904
.18
.19
.0000005
.0000047
.0000408
.0002727
.0014536
.0061970
.19
.20
.0000008
.0000083
.0000664
.0004176
.0020883
.0083528
.20
.21
.0000014
.0000141
.0001053
.0006230
.0029294
.0110200
.21
.22
.0000025
.0000230
.0001628
.0009074
.0040211
.0142566
.22
.23
.0000042
.0000367
.0002458
.0012929
.0054108
.0181145
*23
.24
.0000069
.0000573
.0003629
.0018059
.0071482
.0226358
.24
.23
.0000113
.0000875
.0005251
.0024758
.0092840
.0278520
.25
.26
.0000177
.0001311
.0007458
.0033361
. 0118686
.0337798
.26
.27
.0000274
.0001926
.0010411
.0044236
.0149500
.0404204
.27
.28
.0000416
.0002780
.0014300
.0057780
.0185724
.0477575
.28
.29
.0000620
.0003950
.0019343
.0074415
.0227737
.0557563
.29
• 30
.0000911
.0005527
.0025793
.0094574
.0275842
.0643632
.30
.31
.0001317
.0007624
.0033935
.0118696
.0330242
.0735056
.31
.32
.0001877
.0010373
.0044084
.0147210
.0391026
.0830931
.32
.33
.0002640
.0013935
.0056582
.0180525
.0458152
.0930185
.33
.34
.0003664
.0018493
.0071798
.0219014
.0531^31
.1031601
.34
• 35
.0005025
.0024262
.0090118
.0262996
.0610526
.1133834
• 35
• 36
.0006811
.0031483
.0111941
.0312723
.0694940
.1235449
.36
.37
.0009132
.0040427
.0137671
.0368363
.0784016
.1334946
•37
.38
.0012115
.0051394
.0167707
.0429984
.0876942
.1430800
.38
• 39
.0015913
.0064710
.0202428
.0497542
.0972759
.1521494
.39
.40
.0020700
.0080728
.0242185
.0570866
.1070372
.1605558
.40
.0026679
.0099820
.0287286
.0649647
.1168573
.1681605
.41
.42
fti-
.0034083
.0122371
.0337980
.0733439
.1266055
.1748361
.42
•
l« 1.
.0043168
.0148781
.0394441
.0821643
.1361445
.1804705
.43
It It
. 44
.0054227
.0179441
.0456760
.0913520
.1453326
.1849689
.44
•45
It /*
.0067576
.0214740
.0524921
.1008182
1540278
1882562
• 45
.46
.0083561
.0255043
.0598796
.1104612
.1620897
.1902792
.46
.47
j. 0
.0102554
.0300680
.0678128
.1201668
.1693841
.1910076
.47
|. O
.48
.0124947
.0351935
.0762524
.1298108
.1757854
.1904342
. 48
.49
.0151149
.0409029
.0851448
.1392602
.1811804
.1885754
.49
.5°
.0181580
.0472107
.0944214
.1483764
.1854706
.1854706
.50
25
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P q
p
n=17 rs 7
n=17 r- 6
n=17 r- 5
n=17 r? 4
n-17 r e 3
n=17 r» 2
P
.01
.0000000
.0000000
.0000006
.0000208
.0005908
.0116968
.01
.02
.0000000
.0000007
.0000155
.0002928
.0040998
.0401782
.02
.03
.0000003
.0000065
.0001043
.0012975
.0119860
.0775100
.03
.04
.0000021
.0000324
.OOO3882
.0035838
.0245746
.1179580
.04
.05
.0000091
.0001100
.0010449
.0076360
.0414524
.1575190
.05
.06
.0000293
.0002924
.0022900
.0137989
.0617664
.1935349
.06
.07
.0000775
.0006554
.0043534
.0222458
.0844431
.2243775
.07
.08
.0001771
.0012966
.0074551
.0329745
.1083449
.2491933
.08
.09
.0003622
.0023307
.0117831
.0458232
.1323780
. 2676978
.09
.10
.0006782
.0038837
.0174767
.0604964
.1555622
.2800120
.10
.11
.0011817
.0060845
.0246147
.0763980
.1770709
.2865328
.11
.12
.0019408
.0090568
.0332085
.0936648
.1962502
.2878336
.12
.13
.0030316
.0129108
.0432014
.1111989
.2126222
.2845866
• 15
.14
00^5368
.0177350
.0544719
.1286971
.2258767
..2775056
.14
.15
.0065419
.0235904
.O668396
.1456760
.2358564
.2673039
• 15
.16
.0091308
.0305051
.0800759
.1616916
.2425375
.2546644
.16
.17 '
.0123823
.0384709
.0939144
.1763550
.2460079
.2402194
.17
.18
.0163652
.0474425
.1080635
.1893421
.2464452
.2245389
.18
.19
.0211349
.0573373
.1222189
.2003995
.2440956
.2081237
.19
.20
.0267291
.0680378
.1360756
.2093470
.2392537
.1914030
.20
.21
.0331651
.0793951
.1493386
.2160759
.2322448
.1747366
.21
.22
.0404371
.0912341
.1617331
.2205451
.2234094
.1584176
.22
.23
.0485151
.1033582
.1730128
.2227757
.2130897
.1426775
,23
.24
.0573442
.1155573
.1829657
.2228428
.2016197
.1276924
.24
• 25
.0668448
.1276128
.1914192
.2208683
.1893157
.1135894
• 25
.26
.0769140
.1393058
.1982430
.2170114
.1764709
.1004527
.26
.27
.0874279
.1504230
.2033497
.2114605
.1633504
.0883302
• 27
.28
.0982440
.1607630
.2066952
.2044238
.1501890
.0772400
.28
.29
.1092055
.1701415
.2082766
.1961225
.1371892
.0671753
.29
• 30
.1201446
.1783964
.2081293
.1867826
.1245217
.0581102
• 30
.31
.1308874
.1853918
.2063231
.1766289
.1123263
.0500033
• 51
.32
.1412583
.1910198
.2029584
.1658795
.1007126
.0428028
• 52
.33
.1510848
.1952031
.1981607
.1547410
.0897631
.0364492
• 53
.34
.1602015
.1978961
.1920755
.1434049
.0795354
.0308785
• 34
.35
.1684553
.1990836
.1848634
.1320452
.0700648
.0260241
• 35
• 36
.1757082
.1987811
.1766943
.1208166
.0613671
.0218195
• 36
.37
.1818413
.1970320
.1677434
.1098528
.0534418
.0181992
•31
• 38
.1867571
.1939056
.1581862
.0992667
.0462746
.0151002
.38
.39
.1903818
.1894943
.1481943
.0891504
.0398401
.0124628
•39
.40
.1926671
.1839094
.1379321
.0795762
.0341041
.0102312
.40
.41
.1935896
.1772783
.1275539
.0705974
.0290261
.0083538
.41
.42
.1931523
.1697399
.1172014
.0622498
.0245612
.0067835
,42
• 43
.1913827
.1614413
.1070017
.0545537
.0206615
.0054777
.43
.44
.1883319
.1525333
.0970666
.0475152
.0172782
.0043981
.44
.45
.1840727
.1431677
.0874914
.0411284
.0143623
.0035108
• 45
. 46
.1786971
.1334930
.0783547
.0353775
.0118657
.0027859
.46
.47
.1723133
.1236522
.0697188
.0302382
.0097423
.0021972
.47
.48
.1650430
.1137796
.0616307
.0256794
.0079484
.0017221
.48
.49
.1570180
.1039989
.0541218
.0216658
.0064429
.0013411
.49
. 50
.1483764
.0944214
.0472107
.0181580
.0051880
.0010376
• 30
26
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=17 r= 1
n=17 r= 0
n=l8 r=17
n=l8 r=l6
n-l8 r=15
11=18 r-^4
p
.01
.1447478
.8429432
.0000000
.0000000
.0000000
.0000000
.01
.02
.2460912
.7093218
.0000000
.0000000
.0000000
.0000000
.02
.03
.3132694
.5958260
.0000000
.0000000
.0000000
.0000000
.03
.04
•3538740
.4995868
.0000000
.0000000
.0000000
.0000000
.04
.05
.3741077
.4181203
.0000000
.0000000
.0000000
.0000000
.05
.06
.3790058
.3492798
.0000000
.0000000
.0000000
.0000000
.06
.07
.3726268
.2912126
.0000000
.0000000
.0000000
.0000000
.07
.08
.3582153
.2423221
.0000000
.0000000
.0000000
.0000000
.08
.09
.3383403
.2012351
.0000000
.0000000
.0000000
.0000000
.09
.10
.315013^
.1667718
.0000000
.0000000
.0000000
.0000000
.10
.11
.2897889
.1379209
.0000000
.0000000
.0000000
.0000000
.11
.12
.2638474
.1138166
.0000000
.0000000
.0000000
.0000000
.12
.15
.2380676
.0937189
.0000000
.0000000
.0000006
.0000000
.13
.14
.2130846
.0769970
.0000000
.0000000
.0000000
.0000000
.14
.15
.1893403
.0631134
.0000000
.0000000
.0000000
.0000000
.15
.16
.1671234
.0516117
.0000000
.0000000
.0000000
.0000000
.16
.17
.1466045
.0421044
.0000000
.0000000
.0000000
.0000000
.17
.18
.1278625
.0342638
.0000000
.0000000
.0000000
.0000001
.18
.19
.1109080
.0278128
.0000000
.0000000
.0000000
.0000001
.19
.20
.0957015
.0225180
.0000000
.0000000
.0000000
.0000002
.20
.21
.0821678
.0181828
.0000000
.0000000
.0000000
.0000004
.21
.22
.0702077
.0146423
.0000000
.0000000
.0000001
.0000007
.22
.23
.0597075
.0117582
.0000000
.0000000
.0000001
.0000013
*23
.24
.0505450
.0094152
.00,00000
.0000000
.0000002
.0000021
.24
.25
.0425961
.0075169
.0000000
.0000000
.0000003
.0000036
.25
.26
.0357379
.0059833
.0000000
.0000000
.0000006
.0000059
,26
.27
.0298523
.0047478
.0000000
.0000001
.0000009
.0000095
.27
.28
.0248271
.0037554
.0000000
.0000001
.0000016
.0000149
.28
.29
.0205580
.0029607
.0000000
.0000002
.0000025
.0000232
.29
• 30
.0169488
.0023263
.0000000
.0000003
.0000041
.0000351
.30
.31
.0139122
.0018215
.0000000
.0000006
.0000062
.0000526
-31
.?2
.0113695
.0014212
.0000000
.0000009
.0000097
.0000772
.32
.33
.0092504
.0011048
.0000001
.0000013
.0000147
.0001120
,33
.34
.0074925
.0008556
.0000001
.0000022
.0000220
.0001601
.34
.35
.0060413
.0006600
.0000002
.0000033
.0000325
.0002261
.35
• 36
.0048487
.0005071
.0000003
.0000050
.0000473
.0003153
.36
.37
.0038734
.0003880
.0000005
.0000075
.0000681
.0004344
•37
.38
.0030796
.0002956
.0000008
.0000111
.0000968
.0005919
.38
.39
.0024366
.0002242
.0000013
.0000163
.0001360
.0007979
•39
.40
.0019183
.0001693
.0000018
.0000237
.0001892
.0010646
.40
.41
.0015027
.0001272
.0000028
.0000339
.0002607
.0014063
.41
.42
.0011710
.0000951
.0000041
.0000482
.0003554
.0018405
.42
.0009076
.0000708
.0000060
.0000679
.0004801
.0023866
.43
.44
.0006997
.0000524
.0000087
.0000947
.0006428
.0030677
.44
.^5
.0005363
.OOOO386
.0000126
.0001308
.0008531
.0039097
.45
.46
.0004088
.0000282
.0000179
.0001793
.0011227
.0049420
.46
.47
.0003098
.0000205
.0000254
.0002436
.0014655
.0061972
.47
.48
.0002332
.0000149
.0000357
.0003285
.0018981
.0077110
.48
.49
.0001745
.0000107
.0000496
.0004395
.0024398
.0095224
.49
.50
.0001297
.0000076
.0000687
.0005836
.0031128
.0116730
. 50
27
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
q
p
n=l8 r=l3
n=l8 r=12
n=l8 r=ll
n=l8 i* =10
n=l8 r=. 9
n=l8 r= 8
P
.01
.0000000
.0000000
iOOOOOOO
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000001
.0000010
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000003
.0000040
.06
.07
.0000000
.0000000
.0000000
.0000001
.0000010
.0000122
.07
.08
.0000000
.0000000
.0000000
.0^000003
.0000030
.0000319
.08
.09
.0000000
.0000000
.0000001
.0000007
.0000080
.000073^
.09
.10
.0000000
.0000000
.0000002
.0000018
.0000189
.0001526
.10
.11
.0000000
.0000000
.0000004
.0000045
.0000402
.0002924
.11
.12
.0000000
.0000001
.0000009
.0000098
.0000794
.0005240
.12
.13
.0000000
.0000002
.0000022
.0000198
.0001472
.0008867
.13
.14
.0000000
.0000005
.0000044
.0000379
.0002585
.0014291
.14
.15
.0000001
.0000009
.0000088
.0000688
.0004329
.0022079
.15
.16
.0000002
.0000018
.0000165
.0001193
.0006957
.0032870
.16
.0000004
.0000035
.0000296
.0001987
.0010778
.0047362
.17
.18
.0000006
.0000065
.0000510
.0003194
. 0016166
.0066279
.18
.19
.0000013
.0000116
.0000848
.0004971
.0023549
.0090351
.19
.20
.0000023
.0000200
.0001366
.0007518
.0033411
.0120281
.20
.21
.0000041
.0000332
.0002141
.0011073
.0046284
.0156705
.21
.22
.0000070
.0000537
.0003266
.0015924
.0062729
.0200164
.22
.23
.0000116
.0000848
.0004867
.0022400
.0083327
.0251065
.23
.24
.0000191
.0001306
.0007092
.0030880
.0108653
.0309658
.24
.25
.0000303
.0001970
.0010128
.0041778
.0139260
.0376002
• 2 §
.26
.0000472
.0002909
.0014193
.00555^5
.0175655
.0449947
.26
.27
.0000720
.0004217
.0019544
.0072657
.0218270
.0531124
.27
.28
.0001078
.0006006
.0026474
.0093605
.0267442
.0618937
.28
.29
.0001586
.0008414
.0035313
.0118879
.0323387
.0712565
.29
• 50
.0002296
.0011607
.0046427
.0148955
.0386179
.0810976
.30
.31
.0003272
.0015780
.0060211
.0184275
.0455735
.0912939
.32
.0004596
.0021161
.0077084
.0225231
.0531796
.1017060
.32
.33
.0006367
.0028009
.0097483
.0272142
.0613923
.1121804
.33
.3^
.000.8707
.0036616
.0121852
.0325235
.0701489
.12255^2
.34
• 35
.0011758
.0047311
.0150625
.0384632
.0793684
.1326585
.35
.36
.0015693
.0060448
.0184222
.0450321
.0889523
.1423237
.36
.37
.0020711
.0076407
.0223027
.0522155
.0987860
.1513829
.38
.0027041
.0095593
.0267372
.0599828
.1087408
.1596773
.38
• 39
.0034944
.0118420
.0317522
.0682877
.1186765
.1670601
.40
.0044711
.0145311
.0373657
.0770668
.1284447
.1734004
.40
• 4JL
.0056667
.0176681
.0435855
.0862406
.1378916
.1785864
.41
.42
.0071164
.0212927
.0504072
.0957138
.1468623
.1825290
.42
• jO
.0088582
.0254414
.0578139
.1053758
.1552046
.1851628
. ^3
. 44
.0109321
.0301461
.0657735
.1151034
.1627726
.1864486
.44
• 45
.0133800
.0354322
.0742388
.1247625
.1694306
.1863736
.^5
• 46
.0162443
.0413169
.0831471
.1342103
.1750570
.1849514
.46
.47
J, O
.0195673
.0478081
.0924192
.1432990
.179 5471
.1822213
.47
), c%
.48
.0233902
.0549017
.1019605
.1518786
.1828168
.1782464
.48
.49
.0277510
.0625815
.1116613
.1598011
.1848040
.1731122
.49
• 50
.0326843
.0708161
.1213989
.1669235
.1854706
.1669235
• 50
20
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=l8 r= 7
n-l8 r-6
n=l8 5
n=l8 r- 4
n=-l8 r- 3
n=l8 v- 2
P
.01
.0000000
.0000000
.0000008
.0000266
.0007018
.0130273
.01
.02
.0000000
.0000010
.0000211
.0003689
.0048214
.0442964
.02
.03
.0000005
.0000094
.0001401
.0016182
.0139517
.0845828
.03
.04
.0000033
.0000466
.0005161
.0044234
.0283099
.1273947
.04
.05
.0000141
.0001568
.0013744
.0093268
.0472557
.1683485
.05
.06
.00004S1
.0004122
.0029805
.0166770
.0696725
.2046631
.06
.07
.0001180
.0009142
.0056044
.0265996
.09*12385
.2347550
.07
.08
.0002667
.0017893
.0094966
.0390042
.1196128
.2579150
.08
.09
.0005394
.0031814
.0148467
.0536131
.1*145568
.2740557
.09
.10
.0009986
.0052430
.0217788
.0700029
.1680072
.2835121
.10
.11
.0017211
.0081228
.0303329
.0876500
.1891117
.2868910
.11
.12
.0027947
.0119550
.0404632
.1059751
.2072402
.2849553
.12
.13
.0043159
. 0168486
.0520411
.1243839
.2219775
.2785392
.13
.14
.0063846
.0228782
.0648634
.1423023
.2331047
.2684866
.14
.15
.0090991
.0300779
.0786650
.1592031
.2405735
.2556093
.15
.16
.0125507
.0384364
.0931344
.1746270
.2444778
.2406578
.16
.17
.0168173
.0478964
.1079292
.1881960
.2450239
.2243049
.17
.18
.0219591
.0583543
.1226936
.1996206
.2425021
.2071372
.18
.19
.0280134
.0696648
.1370732
.2087018
.2372609
.1896527
.19
.20
.0349909
.0816453
.1507299
.2153283
.2296836
.1722627
.20
.21
.0428734
.0940832
•1633534
.2194714
.2201681
.1552971
.21
.22
.0516124
.1067438
.1746718
.2211753
.2091112
.1390114
.22
.23
.0611291
.1193788
,1844582
.2205479
.1968950
.1235943
.23
.24
.0713154
.1317353
.1925361
.2177493
.1838772
.1091770
.24
.25
.0820368
.1435644
.1987815
.2129801
.1703842
.0958410
.25
.26
.0931359
.1546295
.2031227
.2064710
.1567061
.0836268
,26
.27
.1044366
.1647132
.2055396
.1984708
.1430949
.0725412
.27
.28
.1157493
.1736240
.2060593
.1892380
.1297633
.0625644
.28
.29
.1268769
.1812007
.2047519
.1790319
.1168851
.0536563
.29
• 30
.1376201
.1873163
.2017252
.1681044
.1045983
.0457617
.30
.31
.1477837
.1918805
.1971179
.1566952
.0930061
.0388151
-31
.32
.1571819
.1948402
.1910931
.1450261
.0821815
.0327441
.32
.33
.1656438
.1961791
.1838322
.1332983
.0721695
.0274737
.33
.34
.1730177
.1959170
.1755276
.1216892
.0629921
.0229273
.34
.35
.1791753
.1941065
.1663770
.1103521
.0546506
.0190301
• 35
• 36
.1840145
.1908298
.1565784
.0994148
.0471299
.0157100
.36
.37
.1874618
.1861952
.1463239
.0889808
.0404020
.0128987
.38
.1894735
.1803323
.1357967
.0791297
.034-4284
.0105324
.38
.39
.1900357
.1733873
.1251671
.0699194
.0291630
.0085526
.39
.40
.1891639
.1655185
.1145898
.0613873
.0245549
.0069061
.40
• 41
.1869020
.1568913
.1042017
.0535532
.0205505
.0055448
.41
.42
.1833191
.1476737
.0941217
.0464206
.0170945
.0044263
.42
* J3
.1785079
.1380322
.0844491
.0399800
.0141325
.0035126
. 45
.44
.1725806
.1281279
.0752640
.0342109
.0116110
.0027708
.44
• 45
.1656655
.1181133
.0666281
.0290836
.0094791
.0021723
• 45
.46
.1579032
.1081294
.0585851
.0245621
.0076890
.0016924
.46
.47
j, 0
.1494425
.0983036
.0511629
.0206051
.0061961
.0013101
.47
O
.48
.1404366
.0887481
.0443741
.0171685
.0049598
.0010075
. 4o
.49
.1310386
.0795592
.0382184
.0142065
.0039430
.0007695
.49
• 50
.1213989
.0708161
.0326843
.0116730
.0031128
.OOO5836
.50
29
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=l8 1 = 1
11=0.8 0
n-19 r= 18
n-19 r=3.7
n-=19 r-16
n-19 r?i5
p
.01
.1517297
.8345138
.0000000
.0000000
.0000000
.0000000
.01
.02
.2553559
.6954553
.0000000
.0000000
.0000000
.0000000
.02
.03
.3217460
.5779513
.0000000
.0000000
.0000000
.0000000
.03
.04
.3597025
.4796033
.0000000
.0000000
.0000000
.0000000
.04
.05
.3763083
.3972143
.000O000
.00.00000
.0000000
.0000000
.05
.06
.3772223
.328323c
.0000000
.0000000
.0000000
.0000000
.06
.07
.3669278
.2708277
.0000000
.0000000
.0000000
.0000000
.07
.08
.3.489438
. £229364
.0000000
.0060000
.0000000
.0000000
.08
.09
.3260008
.4831239
.o'oooooo
.0000000
.0000000
.0000000
.09
.10
.3001893
.1500946
.0000000
.0000000
.0000000
.0000000
.10
.11
.2730834
.1227496
.o'oooooo
.0000000
.0000000
.0000000
.11
.12
.2458437
.IOOI586
.0000000
.6000000
.0000000
.0000000
.12
.13
.2193022
.0815355
.0000000
.0000000
.0000000
.0000000
.13
.14
.1940324
.0662174
.0000000
.0000000
.0000000
.0000000
.14
.15
.4704063
.0.536464
.0000000
.0000000
.0000000
.0000000
.15
.16
.1486416
.0.433538
.o'oooooo
.0000000
.0000000
.0000000
.16
.17
.1288394
.0349467
.0000000
.6000000
.0000000
.0000000
.17
.18
.4110147
.0280963
.Q000000
.0000000
.0000000
.0000000
.18
.19
.0951199
.0225284
.0000000
.0000000
.0000000
.0000000
.19
.20
.0810648
.0180144
.o’oooooo
.0006000
.0000000
.0000001
.20
.21
.Q6873IO
.0143644
.0000000
.6006000
.0000000
.0000001
.21
.22
.0,579833
.0114210
.0000000
.6000000
.0000000
.0000002
.22
.23
.0486792
.0090538
.0000000
.0000000
.0000000
.0000004
.23
.24
.0406738
.0071556
.6000000
.0000000
.0000001
.0000006
.24
.25
.0338263
.0056377
.6000000
.6000000
.0000001
.0000011
•25
.26
.0280018
.0044276
.6000000
.0000000
.0000002
.0000019
, 26
.27
.0.230741
.0034659
.0000000
.0000000
.0000003
.0000033
.27
.28
.0189270
.Q027039
.0000000
.0000000
.0000006
.0000053
.28
.29
.0154548
.0021021
.0000000
.0000001
.0000008
.0000085
.29
.50
.0125621
.0016284
. Q000000
.0000001
.0000014
.0000134
.30
.51
.0101640
.0012569
.0000000
.0000002
.0000023
.0000206
-31
.52
.0081861
.0009664
.0000000
.0000003
.0000037
.0000313
.32
.55
.0065623
.0,007402
.0000000
.0000005
.0000058
.0000468
.33
.54
.0052359
.0005647
. 0.000000
.0000009
.0000088
.0000690
.34
.55
.0041578
.0004290
.0000001
.0000013
.0000135
.0001002
.35
.56
.0.032858
.0003245
.0000001
.0000020
.0000203
.0001437
• 36
.57
.0.025838
.Q002444
. Q000002
.0000031
.0000299
.0002036
'll
.58
.0020216
.OOOI833
.0000003
.0000048
.0000436
.0002849
.38
.59
• 0.015737
.0001368
.0000005
.0000071
.0000630
.0003942
.40
.0012187
.0001016
.0000008
.0600106
.0000899
.0005394
.40
.41
.0009388
.0000750
.0000012
.0000156
.0001269
.0007304
.41
.42
.0007191
.0000552
.0000018
.0000226
.0001773
.0009791
.42
• 43
.0005478
.qooo 403
.0000027
.6000327
.0002451
.0012999
.43
.44
.0004149
.0000293
.0000040
.0000466
.0003358
.0017098
.44
.45
.0003124
.0000212
.0000059
.6000659
.0004558
.0022285
• 45
.46
.OOO2338
.0000152
.0000087
.6000922
.0006132
.0028796
.46
.47
.0001738
.0000109
.Q000126
.6001280
.0008179
.0036894
.47
.48
.0001284
.0000077
.0000181
.0001762
.0010819
.0046883
.48
.49
.0000943
.0000054
.0000257
.0002407
.0014196
.0059103
.49
. 50
.0000687
.0000038
.0000362
.0003262
.0018482
.0073929
.50
30
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=19 r=i4
n=19 r-13
n=19 r=12
n=19 r-11
n=19 r=10
n-19 r= 9
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
• 05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000001
.0000018
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000005
.0000054
.08
.09
.0000000
.0000000
.0000000
.0000001
.0000014
.0000139
.09
.10
.0000000
.0000000
.0000000
.0000004
.0000035
.0000322
.10
.11
.0000000
.0000000
.0000001
.0000008
.0000084
.0000679
.11
.12
.0000000
.0000000
.0000002
..0000020
.0000181
.0001328
.12
.13
.0000000
.0000000
.0000005
.0000044
.0000364
.0002434
.13
.14
.0000000
.0000001
.0000010
.0000091
.0000688
.0004224
.14
.13
.0000000
.0000002
.0000021
.0000178
.0001234
.0006992
.15
.16
.0000000
.0000005
.0000042
.0000329
.0002115
.0011103
.16
.17
.0000001
.0000009
.6000079
.0000584
.0003481
.0016998
.17
.18
.0000002
.0000017
.0000145
.0000993
.0005529
.0025186
.18
.19
.0000004
.0000032
.0000255
.0001631
.0008501
.0036241
.19
.20
.0000006
.0000058
.0000433
.0002597
.0012696
.0050786
.20
.21
.0000012
.0000102
.0000711
.0004017
.0018467
.0069473
.21
.22
.0000021
.0000173
.0001138
.0006051
.0026220
.0092965
.22
.23
.0000036
.0000285
.0001773
.0008899
.0036413
.0121907
.23
.24
.0000062
.0000458
.0002695
.0012802
.0049545
.0156894
.24
.25
.0000103
.0000720
.0004009
.0018040
.0066149
.0198445
.25
.26
.0000167
.0001105
.0005843
.0024945
.0086773
.0246971
,26
-.27
.0000263
.0001664
.0008356
.0033884
.0111973
.0302741
.27
.28
.0000409
.0002458
.0011737
.0045270
.0142280
.0365860
.28
.29
.0000625
.0003566
.0016220
.0059542
.0178186
.0436249
.29
• 30
.0000935
.0005089
.0022053
.0077186
.0220122
.0513618
.30
.31
.0001377
.0007149
.0029554
.0098671
.0268428
.0597468
.31
.32
.0001996
.0009897
.0039056
.0124491
.0323332
.9687080
• 32
.33
.0002852
.0013508
.0050935
.0155121
.0384930
.0781523
• 33
.34
.0004017
.0018196
.0065597
.0191002
.0453162
.0879666
.34
.35
.0005585
.0024202
.0083471
.0232527
.0527800
.0980200
• 35
.36
.0007667
.0031805
.0105007
.0280018
.0608434
.1081660
.36
•37
.0010400
.0041319
.0130656
.0333705
.0694465
.1182469
.37
.38
.0013946
.0053090
.0160869
.0393706
.0785108
.1280967
.38
.39
.0018495
.0067500
.0196070
.0460010
.0879393
.1375462
.39
.40
.0024271
.0084951
.0236650
.0532462
.0976179
.1464270
.40
.41
.0031531
.0105873
.0282942
.0610740
.1074176
.1545765
.41
.42
.0040564
.0130704
.0335208
.0694360
.1171962
.1618423
.42
•ft
.0051694
.0159890
.0393616
.0782655
.1268022
.1680866
.43
.44
.0065280
.0193863
.0458221
.0874787
.1360779
.1731900
.44
.45
.0081714
.0233035
.0528951
.0969745
.1448632
.1770549
.45
.46
.47
.0101411
.0124812
.0277777
.0328404
.0605588
.0687753
.1066362
.1163327
.1529997
.1603356
.1796084
.1808040
.46
.47
.48
.0152370
.0385157
.0774900
.1259211
.1667290
.1806230
.48
.49
.0184544
.0448179
.0866306
.1352499
.1720524
.1790751
.49
.50
.0221787
.0517501
.0961075
.1441612
.1761971
.1761971
.50
31
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=19 r= 8
n=19 r= 7
n=19 r- g
n-19 r- 5
n-19 r= 4
n=19 r= 3
P
.01
.0000000
.0000000
.0000000
.0000010
.0000334
.0008250
.01
.02
.0000000
.0000001
.0000013
.0000280
.0004581
.0056108
.02
.03
.0000000
.0000008
.0000133
.0001845
.OOI9885.
.0160707
.03
.04
.0000003
.0000051
.0000654
.0006723
.0053789
.0322733
.04
.05
.0000017
.0000213
.0002176
.0017721
.0112232
.0533104
.05
.06
.0000065
.0000671
.0005663
.0038023
.0198567
.0777720
.06
.07
.0000197
.0001737
.0012426
.0070755
.0313343
.1040747
.07
.08
.0000507
.OOO3885
.0024058
.0118573
.0454528
.1306770
.08
.09
.0001153
.0007772
.0042313
.0183357
.0617980
.1562117
.09
.10
.0002372
.0014231
.0068966
.0266012
.0798034
.1795576
.10
.11
.0004497
.0024252
.0105659
.0366378
.0988108
.1998674
.11
.12
.0007965
.0038939
.0153760
.0483246
.1181270
. 2165660
.12
.13
.0013325
.0059451
.0214236
.0614457
.1370711
.2293305
.13
.14
.0021229
.0086937
.0287561
.0757048
.1550146
.2380582
.14
.15
.0032416
.0122459
.0373659
.0907458
.1714086
.2428289
.15
.16
.0047693
.0156923
.0471881
.1061732
.1858032
.2438665
.16
.17
.0067900
.0221007
.0581019
.1215746
.1978568
.2415016
.17
.18
.0093875
.0285102
.0699354
.1365405
.2073393
.2361364
.18
.19
.0126411
.0359271
.0824724
.1506827
.2141280
.2282153
.19
.20
.0166206
.0443218
.0954622
.1636496
.2181994
.2181994
.20
.21
.0213831
.0536274
.1086300
.1751582
.2196177
.2065452
.21
.22
.0269675
.0637413
.1216880
.1849026
.2185211
.1936893
.22
.23
.0333917
.0745265
.1343471
.1927588
.2151078
.1800358
.23
.24
.0406497
.0858I6I
.1463275
.1985874
.2096199
.1659492
.24
.25
.0487094
.0974187
.1573687
.2023311
.2023312
.1517483
.25
.26
.0575115
.1091242
.1672377
•2039933
.1935321
.1377055
.26
.27
.0669699
.1207II3
.1757363
.2036310
.1835193
.1240455
.27
.28
.0769733
.13195^3
.1827058
.2013493
.1725851
.1109476
.28
.29
.0873864
.1426308
.1880305
.1972931
.1610093
.0985489
.29
.30
.0980543
.1525290
.1916390
.1916390
.1490525
.0869473
.30
.31
.1088058
.1614537
.1935041
.1845868
.1369516
.0762069
-31
.32
.1194583
.1692326
.1936411
.1763517
.1249158
.0663615
.32
.33
.1298234
.1757204
.1921047
.1671560
.1131257
.0574199
.33
.34
.1397118
.1808035
.1889846
.1572225
.1017322
.0493701
.34
.35
.1489394
.1844012
.1844012
.1467682
.09085.66
.0421834
• 35
• 36
.1573323
.1864680
.1784993
.1359995
.0805922
.0358188
.36
• H
.1647321
.1869932
.1714428
.1251069
.0710066
.0^02258
.38
.1709999
.1859998
.1634088
.114263 2
.0621432
.0253479
.38
.39
.1760205
.1835429
.1545814
.1036205
.0540244
.0211249
* Jo
.40
.1797057
.1797058
.1451470
.0933088
.0466544
.0174954
.40
.41
.1819957
.1745976
.1352886
.0834358
.0400221
.0143981
.41
.42
.1828608
.1683480
.1251819
.0740873
.0341036
.0117739
.42
j 1.
.1823012
.1611033
.1149915
.0653274
.0288656
.0095659
.43
till
. 44
.1803467
.1530214
.1048678
.0572006
.0242669
.0077213
.44
.45
.1770550
.1442670
.0949449
.0497331
.0202616
.0061911
.45
.46
.1725093
.1350072
.0853390
.0429346
.0168004
.0049306
.46
.47
1, O
.1668153
.1254072
.0761474
.0368008
.0138329
.0038997
)iQ
.48
.1600977
.1156261
.0674-486
.0313154
.0113083
.0030627
. 4o
.49
.1524961
.1058137
.0593022
.0264526
.0091774
.0023880
.49
• 50
.1441612
.0961075
.0517501
.0221787
.0073929
.0018482
• 30
3B
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q “- r
p
n=l9 r= 2
n=19 r= 1
n*l9 r= 0
n=20 r=19
n=20 r=l8
n=20 r=17
p
.01
.0144144
.1585576
.8261686
.0000000
.0000000
.0000000
..01
.02
.0485176
.2641515
.6812326
.0000000
.0000000
.0000000
.02
.03
.0916977
.3294322
.5606127
.0000000
.0000000
.0000000
.03
.04
.1366870
.3644985
.4604192
.0000000
.0000000
.0000000
.04
.05
.1787464
.5775556
•3773536
.0000000
.0000000
.0000000
.05
.06
i .2150167
.3742882
.3086237
.0000000
.0000000
.0000000
.06
.07
.2440070
.3602008
.2518698
.0000000
.0000000
.0000000
.07
.08
.2651973
.3388633
.2051014
.0000000
.0000000
.0000000
.08
.09
: .2787307
.3131419
.1666428
.0000000
.0000000
.0000000
.09
.10
.2851798
.2851798
.1350852
.0000000
.0000000
.0000000
.10
.11
| .2853722
.2565466
.1092472
.0000000
.0000000
.0000000
.11
.12
1 .2802618
.22836I6
.0881395
.0000000
.0000000
.0000000
.12
.13
.2708384
.2013925
.0709359
.0000000
.0000000
.0000000
.13
.3.4
.2580631
.1761382
.0569470
.0000000
.0000000
.0000000
.14
.15
.2428289
.1528923
.0455994
.0000000
.0000000
.0000000
.15
.16,
.2259353
.1317955-
.0364172
.0000000
.0000000
.0000000
.16
.17 1
.2080758
.1128777
.0290057
.0000000
.0000000
.0000000
.17
.18
.I89835I
.0960894
.0230390
.0000000
.0000000
.0000000
.18
.19
.1716915
.0813275
.0182480
.0000000
.0000000
.0000000
.19
.20
.1540231
.0684547
.0144115
.0000000
.0000000
.0000000
.20
.21
.1371182
.0573140
,0113479
.0000000
.0000000
.0000000
.21
.22
.1211852
.0477396
.0089084
.0000000
.0000000
.0000000
.22
.23
.IO63638
.0395653
.0069715
.0000000
.0000000
.0000000
*23
.24
.0927362
.0326295
.0054382
.0000000
.0000000
.0000000
.24
.23
.0803374
.0267791
.0042283
.0000000
.0000000
.0000000
.25
.26
.0691643
.0218725
.0032764
.0000060
.0000000
.0000001
,26
.27
.0591850
.0177799
.0025301
.0000000
.0000000
.0000001
• 2 z
.28
.0503^60
.0143845
.0019468
.0000000
.0000000
.0000002
.28
.29
.0425778
.0115825
.0014925
.0000000
.0000000
.0000003
.29
.30
.0358019
.0092819
.0011399
.0000000
.0000000
.0000005
.50
.31
.0299332
.0074029
,0008672
.0000000
.0000001
.0000008
.32
.0248856
.0058757
.0006572
.0000000
.0000001
.0000014
.32
.33
.0205729
.0046411
.0004959
.0000000
.0000002
.0000022
.34
.0169122
.0036477
.0003727
.0000000
.0000003
.0000036
.34
.35
.0138248
.0028528
.0002788
.0000000
.0000005
.0000056
.35
.36
.OII2373
.0Q22197
.0002077
.0000000
.0000009
.0000085
.36
.37
.0090822
.0017182
.0001540
.0000001
.0000013
.0000130
•37
.38
.0072983
.OOI323I
.0001136
.0000001
.0000020
.0000195
.38
.39
.0058308
.0010134
.0000834
.0000002
.0000031
.0000289
•39
.40
.0046311
.0007719
.0000609
.0000003
.0000047
.0000423
.40
.0036564
.0005846
.0000443
.0000005
.0000071
.0000612
.41
.42
.0028692
.0004403
.0000320
.0000008
.0000106
.0000876
.42
• 43
.0022377
.0003296
.0000230
.0000013
.0000156
.0001240
. 43
t, h
. 44
.0017342
.0002453
.0000164
.0000019
.0000227
.0001739
.44
•**5
.0013355
.0001813
.0000117
.0000029
.0000329
.0002413
• 45
.46
.0010214
.0001333
.0000082
.0000042
.0000471
.0003319
.46
.47
.0007760
.0000972
.0000058
.0000062
.0000669
.0004522
i47
1 ,0
.48
.OOO5855
.0000705
.0000040
.0000092
.0000939
.0006110
. 4o
.49
.0004386
.0000507
.0000028
.0000133
.0001310
.0008184
.49
.50
.0003262
.0000362
.0000019
.0000190
.0001812
.0010872
.50
33
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
qn - r
p
n=20 r-l6
n=20 r-15
n=20 r-14
n=20 r=l3
n=20 r=12
n=20 r=ll
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
. .0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.000000c
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.6000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.08
.09
.0000000
.0000000
.0006600
.0000000
.0000000
.0000002
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000002
.0000016
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000004
.0000040
.12
.13
.0000000
.0000000
.0000000
.0000001
.0000010
.0000086
.13
.14
.0000000
.0000000
.0000000
.0000002
.0000022
.0000175
.14
.15
.0000000
.0000000
.0000000
.0000005
.0000045
.0000336
.15
.16
.0000000
.0000000
.0000001
.0000010
.0000088
.0000615
.16
.17
.0000000
.0000000
.0000002
.0000021
.0000165
.0001077
.17
.18
.0000000
.0000000
.0000005
,0000040
.0000298
.0001809
.18
.19
.0000000
.0000001
.0000009
.0000074
.0000517
.0002937
.19
.20
.0000000
.0000002
.0000016
.0000134
.0000865
.0004617
.20
.21
.0000000
.0000004
.0000030
.0000230
.0001406
.0007051
.21
.22
.0000001
.dooooo6
.0000054
.0000385
.0002219
.0010488
.22
.23
.0000001
.0000011
.0000094
.0000627
.0003411
.0015228
.23
.24
.0000002
.0000020
.0000157
.0000995
.0005121
.0021619
.24
.25
.0000004
.0000034
.0000257
.0001542
.0007517
.0030067
.25
.26
.0000006
.0000058
.0000410
.0002337
.0010810
.0041020
,26
.27
.0000011
.0000095
.0000642
.0003470
.0015248
.0054969
.27
.28
.0000018
.0000153
.0000983
.0005056
.0021127
.0072433
.28
.29
.0000031
.0000241
.0001478
.0007234
.0028781
.0093953
.29
• 30
.0000051
.0000373
.0002181
.0010179
.0038593
.0120066
.30
.31
.0000080
.0000569
.6003166
•0014095
.0050980
.0151295
-31
.32
.0000125
.0000852
.0004524
.0019228
.0066395
.0188120
.32
.33
.0000193
.0001255
.0006368
.0025860
.0085316
.0230958
,33
• 34
.0000293
.0001321
.0008838
.0034312
.0108235
.0280136
.34
.35
.0000438
.0002607
.0012101
.0044946
.0135641
.0335872
.35
• 36
.0000647
.0003680
.0016357
.0058158
.0168010
.0398248
.36
.37
.0000941
.0005131
.0021840
.0074374
.0205784
.0467186
•31
.38
.0001354
.0007065
.0028821
.0094047
•0249346
.0542439
.38
.39
.0001922
.0009617
.0037607
.0117642
.0299007
.0623570
.40
.0002697
.0012945
.0048544
.0145630
.0354975
.0709948
.40
.41
.0003744
.0017237
.0062011
.0178471
.0417339
.0800749
.41
.42
.0005140
.0022716
.0078423
.0216596
.0486051
.0894953
.42
• ^3
.0006987
.0029638
.0098218
.0260392
.0560902
.0991363
.43
.44
.0009403
.0038298
.0121857
.0310180
.0641510
.1088624
.44
-*5
.0012535
.0049029
.0149808
.0366:97
.0727309
.1185244
.45
. 46
.0016557
.0062199
.0182539
.0428570
.0817544
.1279635
.46
.47
.0021675
.0078216
.0220500
.0497298
.0911273
.1370141
.47
.48
.0028130
.0097517
.0264107
.0572234
.1007369
.1455089
.48
.49
.0036200
.0120569
.0313726
.0653061
.1104541
.1532831
.49
.50
.0046206
.0147857
.0369644
.0739289
.1201343
.1601792
.50
34
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
l?)p r c
n-r
p
n=20 r-lo
n=20 v- 9
n=20 r= 8
n=20 r= 7
n=20 r= 6
n-20 r-5
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000014
.01
.02
.0000000
.0000000
.0000000
.0000001
.0000018
.0000367
.02
.03
.0000000
.0000000
.0000001
.0000011
.0000184
.0002386
.03
.04
.0000000
.0000000
.0000005
.0000075
.0000897
.0008606
.04
.05
.0000000
.0000002
.0000027
.0000310
.0002954
.0022446
.05
.06
.0000001
.0000008
.0000101
.0000971
.0007604
.0047656
.06
.07
.0000003
.0000030
.0000304
.0002485
.0016510
.0087736
.07
.08
.0000008
.0000090
.0000777
.0005499
.0031620
.0145449
.08
.09
.0000026
.0000230
.0001749
.0010880
.0055007
.0222473
.09
.10
.0000065
.0000527
.0003557
.0019705
.0088670
.0319214
.10
.11
.0000150
.0001099
.0005659
.0033208
.OI34338
.0434768
.11
.12
.0000318
.0002124
.0011682
.0052718
.0193299
.0567009
.12
.13
.0000632
.0003850
.0019322
.0079573
.0256254
.0712770
.13
.14
.0001182
.0006605
.0030428
.0115024
.0353289
.0868082
.14
.15
.0002098
.0010805
.0045922
.0160140
.0453729
.1028452
.15
.16
.0003553
.0016958
.0066769
.0215717
.0566257
.1189140
.16
.3.7
.0005779
.0025651
.0093928
.0282209
.0688923
.1345426
.17
.18
.0009067
.0037550
.0128296
.0359658
.0819243
.1.492843
.18
.19
.0013771
.0053373
.0170654
.0447708
.0954323
.1627373
.19
.20
.0020314
.0073870
.0221609
.0545498
.1090997
.1745595
.20
.21
.0029178
.0099788
.0281544
.0651780
.1225968
.1844788
.21
.22
.0040905
.0131841
.0350577
.0764896
.1355952
.1922986
.22
.23
.0056077
.0170669
.0428527
.0882852
.1477818
.1978991
*23
.24
.0075309
.0216799
.0514897
.1003388
.1588699
.2012352
.24
• 25
.0099223
.0270608
.0608867
.1124062
.1686092
.2023312
.25
.26
.0128425
.0332288
.0709308
.1242337
.1767942
.2012733
,26
.27
.0163480
.0401820
.0814801
.1355680
.1832679
.1982008
.27
.28
.0204882
.0478945
.0923679
.1461647
.1879260
.1932953
.28
.29
.0253024
.0563157
.1034074
.1557967
.1907166
.1867708
.29
• 50
.0308171
.0653696
.1143967
.1642620
.1916390
.1788630
.30
.31
.0370430
.0749551
.1251266
.1713893
.1907398
.1698199
-31
.32
.0439732
.0849481
.1353860
.1770433
.1881085
.1598923
.32
.33
.0515806
.0952037
.1449694
.1811272
.1838716
.1493261
.33
.34
.0598173
.1055600
.1536830
.1835851
.1781855
.1383558
• 34
.35
.0686140
.1158418
.1613510
.1844012
.1712297
.1271991
• 35
• 36
.0778795
.1258659
.1678212
.1835993
.1631993
.1160529
.36
.37
.0875027
.1354463
.1729687
.1812396
.1542985
.1050898
•37
.38
.0973535
.1443998
.1765999
.1774152
.1447335
.0944576
.38
.39
.1072859
.1525512
.1789542
.1722479
.1347067
.0842780
*? 9
.40
.1171416
.1597385
.1797058
.1658822
.1244117
.0746470
.40
.41
.1257527
.1658184
.1789626
.1584809
.1140289
. 0.655362
.41
.42
.1359475
.1706701
.1767655
.1502182
.1037222
.0572941
.42
.43
.1445545
.1741989
.1731861
.1412753
.0936359
.0496488
.43
.44
.1524072
.1763389
.1683236
.1318338
.0838943
.0427098
.44
.45
.1593494
.1770550
.1623003
.1220721
.0745996
.0364709
.45
.46
.1652397
.1763428
.1552583
.1121599
.0658329
.0309129
.46
.47
.1599557
.1742293
.1473535
.1022551
.0576545
.0260058
.47
.48
.1733981
.1707709
.1387513
.0925009
.0501047
.0217120
.48
.49
.1754935
.1660514
.1296217
.0830231
.0432058
.0179878
.49
.50
.1761970
.1501792
.1201343
.0739289
.0369644
.0147857
.50
35
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q a-r
p
n*20 r= 4
n=20 r= 3
n=20 v - 2
n=20 r« 1
n-20 r- 0
n=21 r-20
p
.01
'.0000412
.0009610
.0158557
.1652338
.8179069
.0000000
.01
.02
.0005511
.0064690
.0528303
.2724930
.6676080
.0000000
.02
.03
.0024106
.0183396
.0988296
.3363677
.5437943
.0000000
.03
.04
.0064546
.0364499
.1457994
.3683354
.4420024
.0000000
.04
• 05
.0133276
.0595822
.1886768
.3773536
.3584859
.0000000
.05
.06
.0233316
.0860067
.2245730
.3703484
.2901062
.0000000
.06
.07
.0364261
.II387OO
.2521406
.3526176
.2342389
.0000000
.07
.08
.0522708
.1414386
.2710906
.3281623
.1885933
.0000000
.08
.09
.0702953
.1672384
.2818277
.2999570
.1516449
.0000000
.09
.10
.0897788
.1901199
.2851798
.2701703
.1215767
.0000000
.10
.11
.1099270
.2092729
.2822014
.2403437
.0972300
.0000000
.11
.12
.1299395
.2242095
.2740338
.21153^9
.0775628
.0000000
.12
.15
.1490649
.2347255
.2618104
.1844332
.0517142
.0000000
.13
.14
.1666408
.2408588
.2465936
.1594515
.0489744
.0000000
.14
.15
.1821216
.2428289
.2293384
.1367984
.0387595
.0000000
.15
.16
.1950933
.2409976
.2108729
.1165350
.0305904
.0000000
.16
.17
.2052764
.2358192
.1918921
.0986194
.0240748
.0000000
.17
.18
.2125227
.2278022
.1729609
.0829403
.0188920
.0000000
.18
.19
.2158046
.2174758
.1545223
.0693424
.0147809
.0000000
.19
.20
.2181994
.2053642
.1369094
.0576461
.0115292
.0000000
.26
.21
.2168725
.1919655
.1203594
.0476611
.0089648
.0000000
.21
.22
.2130582
.1777383
,1050272
.0391968
.0069485
.0000000
.22
.23
.2070412
.1630913
.0910002
.0320687
.0053680
.0000000
.23
.24
.1991389
.1483781
.0783106
.0261035
.0041331
.0000000
.24
.25
.1896855
.1338956
.0669478
.0211414
.0031712
.0000000
.25
.26
.1790172
.1198848
.0568684
.0170375
.0024246
.0000000
,26
.27
.1674614
.1065331
.0480057
.0136624
.0018470
.0000000
.27
.28
.1553266
.0939792
.0402767
.0109020
.0014017
.0000000
.28
.29
.1428958
.0823172
.0335893
.0086563
.0010597
.0000000
.29
• 30
.1304210
.0716037
.0278458
.0068394
.0007979
.0000000
.30
.31
.1181207
.0618621
.0229488
.0053768
.0005984
.0000000
-31
.32
.1061784
.0530892
,0188024
.0042058
.0004469
.0000000
.32
.33
.0947428
.0452604
.0153154
.0032731
.0003323
.0000000
.33
.34
.0839290
.0383344
.0124023
.0025342
.0002460
.0000000
.34
.35
.0738210
.0322579
.0099846
.0019519
.0001812
.0000000
.35
.36
.0644738
.0269595
.0079909
.0014954
.0001329
.0000000
.36
.37
.0559178
.0224026
.0063575
.0011395
.0000970
.0000000
•n
.38
.0481610
.0184890
.0050278
.0008635
.0000704
.0000001
.38
.39
.0411936
.0151602
.0039520
.0006507
.0000509
.0.000001
.40
.0349908
.0123497
.0030875
.0004874
.OOOO366
.0000001
.40
.41
.0295152
.0099941
.0023969
.0003631
.0000261
.0000002
.41
.42
.0247251
.0080340
.0018491
.0002687
.0000186
.0000004
.42
• 43
.0205667
.0064148
.0014172
.0001978
.0000131
.0000666
.43
.44
.OI69868
.0050870
.0010790
.0001446
.0000092
.0000009
.44
• 45
.0139299
.0040060
.0008160
.0001050
.0000064
.0000013
.45
.46
.0113403
.0031324
.0006128
.0000758
.0000044
.0000020
.46
.47
.0091643
.0024316
.0004570
.0000542
.0000031
.0000031
.47
.48
.0073504
.0018736
.OOO3383
.OOOO386
.0000021
.0000046
.48
.49
.0058506
.0014328
.0002486
.0000272
.0000014
.0060068
.49
.50
.0046206
.0010872
.0001812
.0000190
.0000010
.0000100
.50
36
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
n-21 r=19
n-21 r-18
n=21 r=17
n=21 r*l6
n=21 r=15
n=21 r*l4
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
. 0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000003
.0000021
.19
.20
.0000000
.0000000
,0000000
.0000000
.0000005
.0000040
.20
.21
.0000000
.0000000
.0000000
.0000001
.0000009
.0000072
.21
.22
.0000000
.0000000
.0000000
.0000002
.0000017
.0000127
.22
.23
.0000000
.0000000
.0000000
.0000004
.0000030
.0000216
*23
.24
.0000000
.0000000
.0000001
.0000006
.0000053
.0000358
.24
.25
.0000000
.0000000
.0000001
.0000011
.0000090
.0000579
.25
.26
.0000000
.0000000
.0000002
.0000020
.0000149
.0000912
,26
.27
.0000000
.0000000
.0000004
.0000034
.0000242
.0001406
.27
.28
.0000000
.0000001
.0000006
.0000056
.0000386
.0002123
.28
.29
.0000000
.0000001
.0000011
.0000092
.0000600
.0003147
.29
.30
.0000000
.0000002
.0000018
.0000148
.0000916
.0004580
.30
.31
.0000000
.0000003
.0000031
.0000231
.0001375
.0006554
.31
.32
.0000000
.0000006
.0000049
.0000358
.0002027
.0009229
.32
.33
.0000001
.0000008
.0000079
.0000543
.0002943
.0012800
.33
.34
.0000001
.0000014
.0000123
.0000813
.0004207
.0017499
.34
• 35
.0000002
.0000023
.0000189
.0001198
.0005929
.0023597
.35
.36
.0000003
.0000036
.0000288
.0001739
.0008244
.0031405
.36
.37
.0000006
.0000056
.0000430
.0002492
.0011313
.0041277
•37
.38
.0000008
.0000086
.0000636
.0003524
.0015332
.0053607
.38
.39
.0000013
.0000132
.0000925
.0004923
.0020534
.0068820
.39
.40
.0000021
.0000198
.0001332
.0006795
.0027185
.0087378
.40
. 41
.0000032
.0000293
.0001896
.0009276
.0035594
.0109760
.41
.42
.0000049
.0000429
.0002667
.0012522
.0046112
.0136456
.42
* 43
.0000074
.0000622
.0003711
.0016727
.0059127
.0167953
.43
.44
.0000111
.0000892
.0005111
.0022117
.0075064
.0204719
.44
.45
.0000164
.0001267
.0006968
.0028957
.009*079
.0247183
.45
• 46
.0000240
.0001781
.0009408
.0037553
.0117555
.0295713
. 46
.47
.0060347
.0002480
.0012585
.0048249
.0145089
.0350595
.47
.48
.0Q00499
.0003421
.0016679
.0061436
.0177480
.0412008
.48
.49
.0000710
.000*1678
.0021912
.0077541
.0215216
.0480000
.49
. 50
.0001001
--
.0006342
.0028539
.0097031
.0258751
.0554467
• 50
37
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p
n=21 r*13
n-21 r=12
n-21 r-H
n=21 r-10
n=21 r= 9
n-21 r= 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000008
.04
• 05
.0000000
.0000000
.0000000
.0000000
.0000003
.0000041
.05
.06
.0000000
.0000000
.0000000
.0000001
.0000014
.0000153
.06
.07
.0000000
.0000000
.0000000
.0000005
.0000049
.0000457
.07
.08
.0000000
.0000000
.0000001
.0000016
.0000145
.0001154
.08
.09
.0000000
.0000000
.0000005
.0000043
.0000367
.0002571
.09
.10
.0000000
.0000001
.0000013
.0000110
.0000830
.0005173
.10
.11
.0000000
.0000004
.0000031
.0000254
.0001712
.0009588
.11
.12
.0000001
.0000008
.0000073
.0000535
.0003271
. 0016606
.12
.13
.0000002
.0000020
.0000157
.0001051
.0005861
.0027154
.13
.14
.0000005
.0000043
.0000316
.0001942
.0009940
.0042271
.14
.15
.OOOO011
.0000088
.0000601
.0003404
.0016072
.0063055
.15
.16
.0000022
.0000173
.0001085
.0005698
.0024927
.0090601
.16
.17
.0000045
.0000320
.0001876
.0009157
.0037259
.0125936
.17
.18
.0000087
.0000570
.0003115
.0014194
.0053885
.0169943
.18
.19
.0000158
.0000977
.0004995
.0021296
.0075657
.0223294
.19
.20
.0000280
.0001616
.0007756
.0031025
.0103418
.0286386
.20
.21
.0000477
.0002592
.0011697
.0044007
.0137957
.0359293
.21
.22
.0000788
.0004038
.0017180
.0060911
.0179963
.0441727
.22
.23
.0001268
.0006129
.0024623
.0082433
.0229976
.0533022
.24
.0001985
.0009080
.0034506
.0109266
.0288342
.0632135
.24
.23
.0003035
.0013155
.0047356
.0142069
.0355172
.0737656
.25
.26
.0004540
.0018654
.0063745
.0181430
.0430313
.0847895
,26
.27
.0006650
.0025973
.0084266
.0227832
.0513325
.0960838
.27
.28
.0009556
.0035492
.0109519
.0281619
.0603471
.1074310
.28
.29
.0013483
.0047681
.0140083
.0342963
.0699723
.1185002
.29
• 30
.0018703
.0063035
.0176497
.0411829
.0800777
.1293553
.30
.31
.0025529
.0082078
.0219227
.0487958
.0905082
.1394681
.31
.32
.0.034321
.0105348
.0268635
.0570852
.1010882
.1487164
.32
.33
.0045480
.0133378
.0324958
.0659762
.1116264
.1569015
• 33
.34
.0059446
.0160681
.0388269
.0753698
.1219218
.1538497
.34
.35
.0076689
.0205722
.0458466
.0851437
.-1317700
.1694186
.35
• 36
.0097705
.0250896
.0535244
.0951546
,1409699
.1735013
• 36
•37
.0122996
.0302503
.0618087
.1052418
.1493297
.1760289
•37
.38
.0153060
.0360722
.0706255
.1152311
.1566739
.1769717
.38
.39
.0188375
.0425586
.0798793
.1249394
.1628483
.1763388
.39
.40
.0229368
•0496964
.0894536
.1341803
.1677254
.1741764
.40
.41
.0276407
.0574537
.0992128
.1427697
.1.712075
.1705650
.41
.42
.0329767
.0657790
.1090053
.1505310
.1732301
.1656156
.42
*??
.0389612
.0746000
. 1186661
.1573016
.1737634
.1594645
.43
.44
.0455966
.0838240
.1280220
.1629372
.1728122
.1522681
.44
.^5
.0528698
.0933379
.1368957
.1673169
.1704154
.1441977
.45
.46
.0607498
.1030106
.1451105
.1703472
.1666439
.1354330
.46
.47
.0691866
.1126941
.1524966
.1719644
.1615976
.1261573
.47
.48
.0781099
.1222275
.1588957
.1721371
.1554014
.1165512
.48
.49
.0874286
.1314403
.1641662
.1708669
.1482009
.1067883
.49
.50
.0970316
.1401567
.1681881
.1681881
.1401567
.0970316
• 50
38
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P q
p
n=21 r* 7
n=21 r= 6
n=21 r= 5
n-21 r= 4
n=21 r= 3
n-21 r- 2
P
.01
.0000000
.0000000
.0000018
.0000504
.0011099
.0173496
.01
.02
.0000001
.0000026
.0000471
.0006793
.0073962
.0572235
.02
.03
.0000017
.0000250
.0003037
.0028885
.0207542
.1059559
.03
.04
.0000108
.0001205
.0010844
.0076544
.0408239
.1547008
.04
.05
.0000443
.0003928
.0027988
.0156403
.0660369
.1981107
.05
.06
.0001369
.0010008
.0058795
.0270921
.0943207
.2333195
.06
.07
.0003467
.0021495
.0107093
.0418472
.1235489
.2591740
.07
.08
.0007589
.0040726
.0175630
.0594042
.1518107
.2756563
.08
.09
.0014852
.0070079
.0265716
.0790202
.1775514
.2834593
.09
.10
.0026601
.0111725
.0377071
.0998129
.1996259
.2836788
.10
.11
.0044332
.0167385
.0507863
.1208552
.2172950
.2775970
.11
.12
.0069588
.0238144
.0654895
.1412520
.2301884
.2665340
.12
.15
.0103843
.0324310
.0813895
.1602008
.2382475
.2517513
.13
.14
.0148382
.0425360
.0979847
.1770313
.2416617
.2343937
.14
.15
.0204178
.0539938
.1147366
.1912278
.2408053
.2154574
.15
.16
.0271803
.0665919
.1311027
.2024379
.2351776
.1957789
.16
.17
.0351350
.0800529
.1465673
.2104686
.2283516
.1760358
.17
.18
.0442391
.0940491
.1606672
.2152730
.2179308
.1567572
.18
.19
.0543964
.1082203
.1730101
.2169321
.2055145
.1383382
.19
.20
.0654599
.1221916
.1832875
.2156324
.1916732
.1210567
.20
.21
.0772360
.1355919
.1912815
.2116420
.1769283
.1050927
.21
.22
.0894928
.1480700
.1968657
.2052878
.1617419
.0905445
.22
.25
.1019694
.1593088
.2000018
.1969327
.1465103
.0774460
.23
.24
.1143863
.1690375
.2007321
.1859563
.1315619
.0657809
.24
• 23
.1264570
.1770397
.1991698
.1757380
.1171586
.0554962
.25
.26
.1378995
.1831587
•1954868
.1636427
.1035006
.0465124
,26
.27
.1484470
.1872998
.1899012
.1510107
.0907308
.0387330
.27
.28
.1578579
.1894294
.1826641
.1381493
.0789425
.0320518
.28
.29
.1659235
.1895724
.1740470
.1253280
.0681861
.0263587
.29
• 50
.1724751
.1878062
.1643304
.1127758
.0584763
.0215439
• 30
.51
.1773880
.1842546
•1537931
.1006805
.0497990
.0175015
*31
.52
.1805841
.1790793
.1427038
.0891,899
.0421175
.0141315
.32
.55
.1820329
.1724715
.1313136
.0784136
.0353786
.0113414
.33
.54
.1817492
.1646434
.1198507
.0684269
.0295175
.0090471
.34
.55
.1797912
.1558190
.1085168
.0592739
.0244622
.0071731
.35
.56
.1762552
.1462267
.0974844
.0509722
.0201372
.0056525
.36
.57
.1712714
.1360913
.0868961
.0435171
.0164660
.0044268
•37
.58
.1549961
.1256287
.0768649
.0368856
.0133738
.0034453
.38
.59
.1576068
.1150395
.0674751
.0310406
.0107890
.0026645
.39
.40
.1492940
.1045058
.0587846
.0259343
.0086448
.0020474
.40
.41
.1402556
.0941879
.0508270
.0215122
.0068792
.0015631
.41
.42
.1306899
.0842224
.0436151
.0177149
.0054363
.0011853
.42
•ft
.1207903
.0747215
•0371435
.0144814
.0042658
.0008929
.43
.44
.1107404
.0657731
.0313917
.0117509
.0033235
.0006678
.44
.45
.1007094
.0574417
.0263275
.0094641
.0025705
.0004960
.45
.46
.0908495
.0497697
.0219095
.0075647
.0019734
.0003658
.46
.47
.0812928
.0427796
,0180903
.0050000
.0015035
.0002677
.47
.48
.0721506
.0364762
.0148185
.0047215
.0011367
.0001944
.48
.49
.0635127
.0308489
.0120406
.0036859
.0008525
.0001401
• 49
.50
.0554467
.0258751
.0097031
.0028539
.0006342
.0001001
.50
83293 9 0 - 50 -4
39
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P Q
p
n=21 r= 1
n=21 r= 0
n=22 r-21
n=22 r=20
n=22 r=19
n=22 r-18
p
.01
.1717604
.8097279
.0000000
.0000000
.0000000
.0000000
.01
.02
.280395^
.6542558
.0000000
.0000000
.0000000
.0000000
.02
.03
.3425904
.5274805
.0000000
.0000000
.0000000
.0000000
.03
.04
.3712821
.4243223
.0000000
.0000000
.0000000
.0000000
.04
.05
.3764102
.3405616
.0000000
.0000000
.0000000
.0000000
.05
.06
.3655338
.2726999
.0000000
.0000000
.0000000
.0000000
.06
.07
.3443311
.2178422
.0000000
.0000000
.0000000
.0000000
.07
.08
.3170048
.1735979
.0000000
.0000000
.0000000
.0000000
.08
.09
.2866089
.1379969
.0000000
.0000000
.0000000
.0000000
.09
.10
.2553110
.1094190
.0000000
.0000000
.0000000
.0000000
.10
.11
.22^6012
.0865347
.0000000
.0000000
.0000000
.0000000
.11
.12
.1954582
.0682553
.0000000
.0000000
.0000000
.0000000
.12
.13
.1684798
.0536913
.OQOOOOO
.0000000
.0000000
.0000000
.13
.14
.1439847
.0^21180
.0000000
.0000000
.0000000
.0000000
.14
.15
.1220925
.0329456
.0000000
.0000000
.0000000
.0000000
.15
.15
.1027838
.0256960
.0000000
.0000000
.0000000
.0000000
.16
.17
.0859469
.0199820
.0000000
.0000000
.0000000
.0000000
.17
.18
.0714116
.0154914
.0000000
.0000000
.0000000
.0000000
.18
.19
.0589757
.0119725
.0000000
.0000000
.0000000
.0000000
.19
.20
.0484227
.0092234
.0000000
.0000000
.0000000
.0000000
.20
.21
.0395349
.0070822
.0000000
.0000000
.0000000
.0000000
.21
.22
.0321022
.0054198
.0000000
.0000000
.0000000
.0000000
.22
.23
.0259275
.0041334
.0000000
.0000000
.0000000
.0000000
.24
.0208307
.0031411
.0000000
.0000000
.0000000
.0000000
.24
.25
.0166^89
.0023784
.0000000
.0000000
.0000000
.0000000
.25
.26
.0132381
.0017942
.0000000
.0000000
.0000000
.0000001
,26
.27
.0104722
.0013483
.0000000
.0000000
.0000000
.0000001
.27
.28
.0082419
.0010092
.0000000
.0000000
.0000000
.0000002
.28
.29
.0064533
.0007524
.0000000
.0000000
.0000000
.0000004
.29
• 30
.0050270
.0005585
.0000000
.0000000
.0000001
.0000006
.30
.31
.0038955
.0004129
.0000000
.0000000
.0000001
.0000012
-31
.32
.0030029
.0003039
.0000000
.0000000
.0000002
.0000019
,32
.33
.0023027
.0002226
.0000000
.0000000
.0000004
.0000031
.33
.3^
.0017563
.0001623
.0000000
.0000000
.0000006
.0000051
.34
.35
.0013322
.0001178
.0000000
.0000001
.0000009
.0000081
.35
.36
.0010049
.0000851
.0000000
.0000001
.0000015
.0000127
.36
.37
.0007538
.0000611
.0000000
.0000002
.0000024
.0000195
• 37
.38
.0005621
.0000437
.0000000
.0000004
.0000038
.0000295
.38
.39
.0004168
.0000310
.0000000
.0000006
.0000059
.0000^2
.39
.40
.0003072
.0000219
.0000001
.0000009
.0000091
.0000652
.40
.41
.0002249
.0000154
.0000001
.0000014
.0000139
.0000950
.41
.42
.0001637
.0000108
.0000002
.0000022
.0000209
.0001369
,42
.OOOII83
.0000075
.0000003
.0000035
.0000309
.0001951
.4}
.44
.0000850
.0000052
..0000004
.0000054
.0000^54
.00027^9
.44
.45
.0000607
.0000035
.0000007
.0000081
.0000660
.0003832
.45
.46
.0000429
.0000024
.0000010
.0000121
.0000949
.0005290
.46
.47
.0000302
.0000016
.0000015
.0000179
.0001350
.0007229
.47
.48
.0000211
.0000011
.0000023
.0000263
.0001902
.0009785
.48
.49
.0000146
.0000007
.0000035
.0000382
.0002654
.0013123
.49
.50
.0000100
.0000005
.0000053
.0000551
.0003671
.0017^41
.50
40
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=22 r=i7
n=22 r=l6
n=22 r =15
n=22 r=14
n=22 r-13
n-22 r»12
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.OOOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000002
.0000016
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000005
.0000037
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000010
.0000081
.14
.15
.0000000
.0000000
.0000000
.0000003
.0000022
.0000165
.15
.16
.0000000
.0000000
.0000001
.0000005
.0000047
.0000318
.16
.17
.0000000
.0000000
.0000001
.0000013
.0000092
.0000584
.17
.18
.0000000
.0000000
.0000003
.0000025
.0000173
.0001028
.18
.19
.0000000
.0000001
.0000006
.0000047
.0000314
.0001740
.19
.20 ;
.0000000
.0000001
.0000012
,0000088
.0000547
.0002844
.20
.21
.0000000
.0000003
.0000022
.0000158
.0000920
.0004504
.21
.22
.0000001
.0000005
.0000041
.0000272
.0001504
.0006929
.22
.23
.0000001
.0000010
.0000073
.0000458
.0002385
.0010385
.24
.0000002
.0000018
.0000126
.0000748
.0003688
.0015183
.24
.23
.0000004
.0000031
.0000212
.0001193
.0005565
.0021705
.25
.26
.0000006
.0000054
.0000347
.0001855
.0008212
.0030386
,26
.27
.0000012
.0000090
.0000557
.0002821
.0011868
.0041712
.27
.28
.0000021
.0000148
.0000872
.0004205
.0016817
.0056220
.28
.29
.0000035
.0000239
.0001338
.0006145
.0023400
.0074478
.29
.0000058
.0000377
.0002016
.0008817
.0032002
.0097074
.30
.51
.0000093
.0000585
.0002980
.0012437
.0043059
.0124594
-31
.52
.0000149
.0000891
.0004332
.0017259
.0057049
.0157600
.32
.55
.0000232
.0001335
.0006196
.0023585
.0074486
.0196599
.33
.54
.0000358
.0001966
.0008727
.0031761
.0095905
.0242021
.34
.55
.0000542
.0002854
.0012113
.0042179
.0121851
.0294182
.35
• 56
.0000810
.0004081
.0016582
.0055273
.0152853
.0353262
.36
•37
.0001193
.0005755
.0022400
.0071514
.0189413
.0419269
.37
.58
.0001733
.0008011
.0029877
.0091399
.0231972
.0492024
.38
•39
.0002484
.0011011
.0039366
.0115446
.0280887
.0571137
.39
.40
.0003518
.0014951
.0051262
.0144174
.0336407
.0655992
.40
.41
.0004922
.0020066
.0066003
.0178085
.0398640
.0745750
.41
.42
.0006806
.0026630
.0084057
.0217646
.0467537
.0839340
.42
*??
.0009308
.0034959
.0105922
.0263266
.0542859
.0935485
.43
.44
.0012594
.0045413
.0132112
.0315268
.0624166
.1032712
.44
.45
.0016864
.0058397
.0163141
.0373864
.0710805
.1129389
.45
.46
.0022354
.0074354
.0199508
.0439134
.0801898
.1223765
.46
.47
.0029347
.0093764
.0241677
.0510992
.0896351
.1314013
.47
.48
.0038163
.0117137
.0290053
.058917.2
.0992863
.1398282
.48
.49
.0049170
.0145002
.0344960
.0673200
.1089943
.1474760
.49
.50
.0062785
.0177891
.0406609
.0762391
.1185942
.1541724
• 50
41
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n-22 r=H
n-22 r=J.0
n=22 r = 9
n=22 r= 8
n-22 r= 7
n-22 r= 6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000002
.0000034
.02
.03
.0000000
.0000000
.0000000
.0000001
.0000024
.0000334
•03
.04
.0000000
.0000000
.0000001
.0000012
.0000151
.0001591
.04
.05
.0000000
.0000000
.0000005
.0000061
.0000618
.0005131
.05
.06
.0000000
.0000002
.0000022
.0000226
.0001887
.0012935
.06
.07
.0000001
.0000007
.0000078
.0000668
.0004729
.0027487
.07
.08
•0000003
.0000025
.0000226
.0001669
.0010240
.0051518
.08
.09
.0000008
.0000072
.0000566
.0003676
.0019822
.0087686
.09
.10
.0000023
.0000182
.0001265
.0007315
.0035113
.0138260
.10
.11
.0000056
.0000414
.0002578
.0013411
.0057867
.0204838
.11
.12
.0000128
.0000864
.0004871
.0022964
.0089814
.0288154
.12
.13
.0000273
.0001677
.0008629
.0037124
.0132504
.0387956
.13
.14
.0000544
.0003062
.0014466
.0057127
.0187158
.0502989
.14
.15
.0001021
.0005305
.0023120
.0084223
.0254542
.0631051
.15
.16
.0001824
.0008774
.0035435
.0119594
.0334861
.0769136
.16
.17
.0003114
.0013934
.0052334
.0164256
.0427711
.0913603
.17
.18
.0005110
.0021338
.0074775
.0218984
.0532049
.1060404
.18
.19
.0008092
.0031625
.0103708
.0284221
.0646230
.1205303
.19
.20
.0012410
.0045504
.0140011
.0360029
.0768062
.1344108
.20
.21
.0018483
.0063736
.0184437
.0446038
.0894907
.1472867
.21
.22
.0026800
.0087103
.0237551
.0541431
.1023798
.1588051
.22
.23
.0037919
.0116368
.0299677
.0644957
.1151575
.1686681
.23
.24
.0052448
.0152244
.0370853
.0754949
.1275026
.1766442
.24
.25
.0071034
.0195345
.0450796
.0869391
.1391027
.1825723
.25
.26
.0094343
.0246139
.0538885
.0985981
.1496669
.1863640
,26
.27
.0123029
.0304915
.0634153
.1102219
.1589373
.1880021
.27
.28
.0157707
.0371738
.0735306
.1215505
.1666979
.1875351
.28
.29
.0198918
.0446423
.0840744
.1323240
.1727817
.1850700
.29
.30
.0247097
.0528513
.0948613
.1422919
.1770744
.1807635
.30
.51
.0302534
.0617266
.1056858
.1512233
.1795166
.1748115
.31
.52
.0365345
.0711661
.1163293
.1589140
.1801026
.1674392
.32
.55
.0435443
.0810408
.1265672
.1651948
.1788777
.1588894
,33
.54
.0512515
.0911975
.1361773
.1699355
.1759333
.1494139
.34
.55
.0596006
.1014629
.1449470
.1730490
.1714009
.1392633
• 35
.56
.0685113
.1116481
.1526811
.1744928
.1654449
.1286794
.36
.57
.0778790
.1215543
.1592084
.1742686
.1582547
.1178891
•37
.58
.0875756
.1309794
.1643870
.1724210
.1500365
.1070985
.38
.59
.0974528
.1397238
.1681097
.1690333
.1410055
.0964894
.39
.40
.1073443
.1475983
.1703058
.1642235
.1313787
.0862173
.40
.41
.1170711
.1544291
.1709441
.1581382
.1213679
.0764099
.41
.42
.1264461
.1600646
.1700321
.1509468
.1111735
.0671674
.42
•if?
.1352793
.1643802
.1676148
.1428346
.1009807
.0585630
.43
.44
4433847
.1672822
.1637727
.1339959
.0909548
.0506453
.44
.45
.1505852
.1687113
.1586174
.1246279
.0812390
.0434403
.45
.46
.1567194
.1686437
.1522869
.1149246
.0719528
.0369540
.46
.47
.1616465
.1670920
.1449406
.1050710
.0631916
.0311757
.47
.48
.1652516
.1641040
.1367533
.0952389
.0550269
.0260805
.48
.49
.1674496
.1597605
.1279088
.0855832
.0475075
.C216328
.49
.50
.1681880
.1541724
.1185942
.0762391
.0406609
.0177891
.50
42
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
,n. r n*
( r )P <1
p
n-22 r= 5
n-22 r= 4
n=22 r- 3
n-22 r= 2
n=22 r =• 1
n=22 r- 0
P
.01
.0000022
.0000610
.0012723
.0188937
.1781401
.8016306
.01
.02
.0000598
.OOO8136
.0083928
.0616869
.2878726
.6411707
.02
.03
.OOO3813
.0034244
.0233103
.1130549
.3481371
.5116561
.03
.04
.0013471
.0089813
.0453789
.1633641
.3734037
.4073494
.04
.05
.0034408
.0181602
.0726405
.2070257
.3746178
.3235335
• 05
.06
.0071524
.0311258
.1026606
.2412523
.3599638
.2563379
.06
.07
.0128889
.0475664
.1330426
.2651350
.3354769
.2025932
.07
.08
.0209103
.0667967
.1617184 •
.2789642
.3055323
.1597100
.08
.09
.0312920
.0878880
.1870831
.2837428
.2732338
.1255772
.09
.10
.0439177
.1097942
.2080312
.2808420
.2407218
.0984771
.10
.11
.0584939
.1314635
.2239283
.2717674
.2094139
.0770159
.11
.12
.0745811
.1519243
.2345499
.2580049
.1801939
.0600646
.12
.13
.0916349
.1703469
.2400029
.2409261
.1535572
.0467115
.13
.14
.1090512
.1860795
.2406442
.2217365
.1297233
.0362215
.14
.15
.1262104
.1986644
.2370031
.2014527
.1087204
.0280038
.15
.16
.1425163
.2078363
.2297138
.1808997
.0904498
.0215846
.16
.17
.1574305
.2135088
.2194579
.1607207
.0747328
.OI65851
.17
.18
.1704962
.2157515
.2069195
.1413950
.0613459
.0127030
.18
.19
.1813553
.2147628
.1927511
.1232592
.0500452
.0096977
.19
.20
.1897565
.2108405
.1775499
.1065300
.0405828
.0073787
.20
.21
.1955573
.2043521
.1618428
.0913255
.0327199
.0055949
.21
.22
.1987185
.1957077
.1460785
.0776872
.0262320
.0042275
.22
.23
.1992959
.1853356
.1306255
.0655967
.0209149
.0031827
.23
.24
.1974259
.1736617
.1157744
.0549929
.0165851
.0023873
.24
• 25
.1933118
.1610931
.1017431
.0457843
.0130813
.0017838
.25
.26
.1872073
.1480058
.0886836
.03786II
.0102627
.0013277
.26
.27
.1794008
.1347351
.0766914
.0311026
.0080088
.0009842
.27
.28
.1702000
.1215714
.0658131
.0253850
.0062168
.0007266
.28
.29
.1599185
.1087569
.0560561
.0205862
.0048000
.00053^2
.29
• 30
.1488640
.0964860
.0473966
.OI65888
.0036864
.0003910
.30
• 31
.1373283
.0849072
.0397868
.0132836
.0028159
.0002849
.31
.32
.1255793
.0741267
.0331620
.0105703
.0021393
.0002065
.32
.33
. II38566
.0642121
.0274463
.0083586
.0016162
.0001492
• 33
.34
.1023666
.0551977
.0226575
.0065683
.0012143
.0001071
.3*
.35
.0912817
.0470898
.0184111
.0051288
.0009071
.0000766
• 35
• 36
.0807401
.0398716
.0149227
.0039794
.0006738
.0000544
.36
.37
.0708459
.0335082
.0120115
.0030678
.0004975
.OOOO385
.37
.38
.0616727
.0279512
.0096009
.0023497
.0003651
.0000271
.38
.39
.0532656
.0231425
.0076205
.0017878
.0002664
.0000189
.39
.40
.0456445
.0190185
.0060059
.0013513
.0001930
.0000132
.40
.41
.0388079
.0155127
.0046996
.0010144
.0001390
.0000091
.41
.42
.0327370
.0125578
.0036509
.0007563
.0000995
.0000062
.42
• ^3
.0273988
.0100887
.0028154
.0005599
.0000706
.0000043
.43
.44
.0227498
.0080428
.0021550
.0004114
.0000499
.0000029
.44
.45
.0187389
.0063620
.0016370
.0003001
.0000350
.0000019
.*5
.46
.0153109
.0049927
.0012338
.0002173
.0000243
.0000013
.46
.47
.0124078
.0038866
.0009227
.0001561
.0000167
.0000009
.47
.48
.0099719
.0030008
.0006844
.0001113
.0000114
.0000006
.48
.49
.0079468
.0022975
.0005034
.0000786
.0000078
.0000004
.49
.50
.OO62785
.0017441
.0003671
.0000551
.0000053
.0000002
.50
43
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=23 r=22
n-23 r“21
n-23 r= 20
n=23 r=19
n=23 r=18
n=23 r=17
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.22
• 23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000002
.0000019
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000004
.0000033
.27
.28
.0000000
.0000000
.0000000
.0000001
.0000007
.0000056
.28
.29
.0000000
,0000000
.0000000
.0000001
.0000013
.0000094
.29
.50
.0000000
.0000000
.0000000
.0000003
.0000022
.0000153
.30
.51
.0000000
.0000000
.0000000
.0000005
.0000037
.0000245
.31
.52
.0000000
.0000000
.0000001
.0000007
.0000061
.0000386
.32
.55
.0000000
.0000000
.0000001
.0000013
.0000098
.0000596
.33
.54
.0000000
.0000000
.0000002
.0000021
.0000156
.0000904
.34
.55
.0000000
.0000000
.0000004
.0000034
.0000243
.0001351
.35
.56
.0000000
.0000001
.0000006
.0000055
.0000373
.0001987
.36
.57
.0000000
.0000001
.0000010
.0000087
.0000564
.0002882
.37
.58
.0000000
.0000002
.0000016
.0000136
.0000841
.0004119
.38
.59
.0000000
.0000003
.0000026
.0000209
.0001238
.0005810
•? 9
.40
.0000000
.0000004
.0000042
.0000316
.0001798
.0008091
.40
.41
.0000000
.0000007
.0000065
.0000472
.0002578
.0011131
.41
.42
.0000001
.0000010
.0000101
.0000696
.0003653
.0015132
.42
.43
.0000001
.0000017
.0000153
.0001015
.0005114
.0020338
.43
.44
.0000002
.0000026
.0000230
.0001464
.0007080
.0027035
.44
.45
.0000003
.0000040
.0000342
.0002087
.0009697
.0035553
.45
.46
.0000005
.0000061
.0000502
.0002945
.0013140
.0046274
.46
.47
.0000008
.0000092
.0000730
.0004113
.0017624
.0059623
.47
.48
.0000012
.0000138
.0001050
.0005686
.0023406
.0076070
.48
.49
.0000018
.0000205
.0001496
.0007784
.0030785
.0096128
.49
.50
.0000028
.0000301
.0002111
.0010556
.0040113
.0120338
.50
44
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=23 r=l6
n=23 r-15
n=23 r*l4
n-23 r=l3
n=23 r-12
n-23 r»ll
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.07
.08
.0000000
.0000000
.0000000
.0000000
. 0000.000
.0000003
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000001
.0000014
.09
.10
.0000000
.0000000
.0000000
.OOOOOOO
.0000005
.0000038
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000012
.0000095
.11
.12
.0000000
.0000000
.0000000
.0000004
.0000029
.0000217
.12
.13
.0000000
.0000000
.0000001
.0000009
.0000068
.0000455
.13
.14
.0000000
.0000000
.0000003
.0000020
.0000146
.0000896
.14
.15
.0000000
.0000001
.0000005
.0000044
.0000294
.0001663
.15
.16
.0000000
.0000002
.0000012
.0000090
.0000559
.0002935
.16
.17
.0000000
.0000004
.0000025
.0000176
.0001015
.0004953
.17
.18
.0000001
.0000007
.0000051
.0000327
.0001763
.0008031
.18
.19
.0000002
.0000014
.0000098
.0000585
.0002947
.0012563
.19
.20
.0000004
.0000027
.0000179
.0001007
.000*1757
.0019029
.20
.21
.0000007
.0000050
.0000318
.0001673
.0007440
.0027985
.21
.22
.0000013
.0000092
.0000543
.0002697
.0011301
.004006?
.22
.23
.0000024
.0000162
.0000901
.0004225
.0016716
.0055963
.23
.24
.0000044
.0000275
.0001454
.0006447
.0024126
.0076399
.24
.23
.0000076
.0000457
.0002286
.0009600
.0034037
.0102113
.25
.26
.0000130
.0000740
.0003507
.0013978
.0047014
.0133810
,26
.27
.0000216
.0001169
.0005264
.0019925
.0063668
.0172138
.27
.28
.0000351
.0001805
.0007737
.0027850
.0084636
.0217636
.28
.29
.0000558
.0002732
.0011149
.0038213
.0110565
.0270695
.29
• 30
.0000869
.0004056
.0015772
.0051524
.0142081
.0331522
• 30
.31
.0001328
.0005912
.0021929
.0068335
.0179756
.0400101
,31
.32
.0001992
.0008469
.0029992
.0089225
.0224078
.0476166
.32
.33
.0002939
.0011934
.0040382
.0114784
.0275418
.0559181
>33
.34
.0004265
.0016558
.0053571
.0145585
.0333988
.0648332
• 34
.35
.0006094
.0022637
.0070064
.0182167
.0399820
.0742524
.35
.36
.0008581
.0030511
.0090402
.0225000
.0472728
.0840406
.36
•37
.0011913
.0040572
.0115137
.0274459
.0552292
.0940389
.37
.38
.0016320
.0053255
.0144817
.0330792
.0637842
.1040691
.38
.39
.0022069
.0069037
.0179968
.0394085
.0728459
.1139385
.39
.40
.0029476
.0088427
.0221067
.0464241
.0822972
.1234459
.40
.41
.0038900
.0111956
.0268513
.0540956
.0919983
.1323879
.41
.42
.0050749
.0140164
.0322601
.0623694
.1017891
.1405658
.42
• J3
.0055473
.0173581
.0383491
.0711687
.1114928
.1477927
.43
.44
.0083561
.0212700
.0451183
.0803926
.1209212
.1538996
.44
.45
.0105532
.0257967
.0525487
.0899168
.1298798
.1587419
• 45
.46
.0131925
.0309736
.0606005
.0995957
.13817*0
.1622045
.46
.47
.0163283
.0368255
.0692111
.1092652
.1456166
.1642058
.47
.48
.0200137
.0433631
.0782943
.1187465
.152031**
.1647007
.48
.49
.0242981
.0505798
.0877404
.1278504
.1572630
.1636819
.49
.50
.0292250
.0584500
.0974166
.1363833
.1611803
.1611803
.50
45
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n=23 r-10
n-23 r- 9
n-23 r s 8
n=23 r= 7
n-23 r» 6
n-23 r- 5
P
.01
.0000000
.0000000
.0000000
.0000000
.0000001
.0000028
.01
.02
.0000000
.0000000
.0000000
.0000002
.0000046
.0000749
.02
.03
.0000000
.0000000
.0000002
.0000033
.0000439
.0004725
.03
.04
.0000000
.0000001
.0000018
.0000209
.0002065
.0016526
.04
.05
.0000001
.0000007
.0000089
.0000843
.0006595
.0041768
.05
.06
.0000003
.0000035
.0000326
.0002550
.0016450
.0085907
.06
.07
.0000013
.0000119
.0000952
.0006322
.0034585
.0153164
.07
.08
.0000041
.0000342
.0002355
.0013542
.0064124
.0245812
.08
.09
.0000117
.0000846
.0005129
.0025930
.0107957
.0363856
.09
.10
.0000291
.0001869
.0010095
.0045428
.0168351
.0505054
.10
.11
.0000653
.0003769
.0018301
.0074034
.0246650
.0665205
.11
.12
.0001344
.0007043
.0030986
.0113615
.0343072
.0838623
.12
.13
.0002580
.0012334
.0049523
.0165713
.0456647
.1018675
.13
.14
.0004658
.0020439
.0075331
.0231375
.0585241
.1198352
.14
.15
.0007977
.0032285
•01Q9771
.0311019
.0725709
.1370784
.15
.16
.0013041
.0048900
.0154036
.0404346
.0874100
.1529675
.16
.17
.0020462
.0071360
.0209044
.051033 2
.1025923
.1669638
.17
.18
.0030957
.0100732
.0275336
.0627153
.1176424
.1786422
.18
.19
.0045320
.0138006
.0353003
.0752453
.1320871
.1877027
.19
.20
.0064405
.0184015
.0441635
.0883272
.1454799
.1939733
.20
.21
.0089084
.0239373
.0540300
.1016279
.1574236
.1974041
.21
.22
.0120201
.0304405
.0647552
.1147933
.1675860
.1980562
.22
• 23
.0158529
.0379091
.0761479
.1274649
.1757126
.1960850
.23
.24
.0204711
.0463036
.0879767
.1392966
.1816319
.1917224
.24
.25
.0259207
.0555445
.0999800
.1499701
.1852571
.1852572
.25
.26
.0322253
.0655130
.1118760
.1592081
.1865833
.1770149
*26
.27
.0393809
.0760531
.1233751
.1667848
.1856797
.1673411
.27
.28
.0473537
.0869761
.1341918
.1725324
.1826812
.1565840
.28
.29
.0560776
.0980668
.1440567
.1763453
.1777761
.1450816
.29
.30
.0654543
.1090905
.1527266
.1781812
.1711936
.1331506
• 30
.31
.0753539
.1198024
.1599942
.1780581
.1631917
.1210777
• 31
.32
.0856184
.1299564
.1656944
.1760502
.1540441
.1091145
.32
.33
.0960645
.1393143
.1697102
.1722815
.1440286
.0974739
.33
.34
.1064906
.1476551
.1719747
.1669167
.1334178
.0863292
.34
.35
.1166824
.1547827
.1724721
.1601528
.1224697
.0758146
.35
• 36
.1264200
.1605333
.1712356
.1522093
.1114213
.0660274
.36
•37
.1354863
.1647807
.1683434
.1433195
.1004831
.0570310
•3Z
.38
.1436743
.1674399
.1639149
.1337200
.0898367
.0488586
.38
.39
.1507943
.1684699
.1581024
.1236443
.0796321
.0415176
.39
.40
.1566814
.1678728
.1510856
.1133142
.0699881
.0349941
.40
.41
.1612003
.1656937
.1430623
.1029351
.0609931
.0292569
.41
.42
.1642510
.1620162
.1342421
.0926909
.0527066
.0242618
.42
.1657711
.1569593
.1248374
.0827411
.0451624
.0199554
.43
.44
.1657380
.1506709
.1150579
.0732186
.0383712
.0162787
.44
.45
.1641690
.1433222
.1051029
.0642295
.0323247
.0131693
.45
.46
.1611196
.1351002
.0951576
.0558533
.0269982
.0105645
.46
.47
.1566809
.1262019
.0853877
.0481441
.0223548
.0084028
.47
.48
.1509757
.1168264
.0759371
.0411326
.0183484
.0066258
.48
.49
.1441532
.1071693
.0669261
.0348289
.0149266
.0051787
.49
.50
.1363833
.0974166
.0584500
.0292250
.0120338
.0040113
.50
46
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=23 4
n=23 r- 3
n=23 r= 2
n»23 r= 1
n=23 r- 0
n=24 r= 23
p
.01
.0000732
.0014485
.0204861
.1843750
.7936143
.0000000
.01
.02
.0009651
.0094587
.0662107
.2949385
.6283473
.0000000
.02
.05
.0040211
.0260026
.1201073
.3530427
.4963064
.0000000
.03
.04
.0104371
.0500984
.1717656
.3747615
.3910555
.0000000
.04
.05
.0208842
.0793598
.2154053
•3720635
.3073569
.0000000
.05
.06
.0354179
.1109761
.2483750
•3537463
.2409576
.0000000
.06
.07
.0535496
.1422892
.2700589
.3261750
.1884117
.0000000
.07
.08
.0743905
.1710980
.2810897
.2938665
.1469332
.0000000
.08
.09
.0968156
.1957825
.2827970
.2599447
.1142752
.0000000
.09
.10
.1196179
.2153123
.2768300
.2264973
.0886294
.0000000
.10
.11
.1416346
.2291906
.2649086
.1948501
.0685441
.0000000
.11
.12
.1618394
.2373645
.2486676
.1657783
.0528569
.0000000
.12
.13
.1794022
.2401229
.2295681
.1396673
.0406390
.0000000
.13
.14
.1937186
.2379971
.2088547
.1166330
.0311505
.0000000
.14
.15
.2044152
.2316706
.1875428
.0966130
.0238032
.0000000
.15
.16
.2113367
.2219036
.1664276
.0794314
.0181311
.0000000
.16
.17
.2145201
.2094726
.1461027
.0648478
.0137656
.0000000
.17
.18
.2141617
.1951251
.1269861
.0525903
.0104164
.0000000
.18
.19
.2105806
.1795476
.1093486
.0423791
.0078552
.0000000
.19
.20
.2041824
.1633459
.0933405
.0339420
.0059030
.0000000
.20
.21
.1954252
.1470341
.0790184
.0270236
.•0044200
.0000000
.21
.22
.1847893
.1310324
.0663670
.0213911
.0032974
.0000000
.22
.23
.1727522
.1156689
.0553199
.OI68365
.0024507
.0000000
.23
.24
.1597688
.1011868
.0457750
.0131777
.0018143
.0000000
.24
.23
.1462556
.0877534
.0376086
.0102568
.0013379
.0000000
.25
.26
.1325820
.0754698
.0306855
.0079396
.0009825
.0000000
.26
.27
.1190633
.0643824
.0248672
.0061122
.0007185
.0000000
.27
.28
.1059591
.0544932
.0200179
.0046795
.0005232
.0000000
.28
.29
.0934737
.0457698
.0160082
.0035629
.0003793
.0000000
.29
.30
.0817592
.0381642
.0127181
.0026978
.0002737
.0000000
.30
.31
.0709199
.0315708
.OIOO386
.0020313
.0001966
.0000000
.31
.32
.0610179
.0259327
.0078724
,0015208
.0001405
.0000000
.32
.33
.0520793
.0211474
.0061337
.0011321
.0000999
.0000000
.33
.34
.0441000
.0171212
.0047479
.0008379
.0000707
.0000000
.34
.35
.0370522
.0137623
.0036512
.0006164
.0000498
.0000000
.35
• 36
.0308900
.0109831
.0027893
.0004509
.0000348
.0000000
.36
.37
.0255544
.0087023
.0021168
.0003276
.0000243
.0000000
.37
.38
.0209780
.0068455
.0015555
.0002367
.0000168
.0000000
.38
.39
.0170889
.0053457
.0011945
.0001698
.0000116
.0000000
.39
.40
.0138135
.0041440
.0008880
.0001211
.0000079
.0000000
.40
.41
.0110793
.0031887
.0006555
.0000857
.0000054
.0000000
.41
.42
.0088169
.0024352
.0004804
.000060^)
.0000036
.0000000
,42
.43
.0069612
.0018456
.0003495
.0000421
.0000024
.0000001
.43
.44
.0054522
.0013879
.0002523
.0000292
.0000016
.0000001
.44
.45
.0042358
.0010354
.0001807
.0000201
.0000011
.0000001
.45
.46
.0032636
.0007663
.OOOI285
.0000137
.0000007
.0000002
.46
.47
.0024936
.0005624
.0000906
.0000092
.0000005
.0000004
.47
.48
.0018890
.0004092
.0000634
.0000062
.0000003
.0000006
.48
.49
.0014184
.0002953
.0000439
.0000041
.0000002
.0000010
.49
.50
.0010556
.0002111
.0000301
.0000028
.0000001
.0000014
.50
47
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
qD -r
p
n-24 r-22
n-24 r-21
n=24 r=20
n=24 r=19
n-24 r=l8
n=24 r=17
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
,0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.00.00005
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000002
.0000015
.24
.25
.0000000
.0000000
.0000000
.0000000
,0000004
.0000027
.25
.26
.0000000
.0000000
.0000000
.0000001
.0000006
.0000048
,26
.27
.0000000
.0000000
.UOOOOOO
.0000002
.0000011
.0000083
.27
.28
.0000000
.0000000
.0000000
.0000003
.0000021
.0000139
.28
.29
.0000000
.0000000
.0000001
.0000004
.0000036
.0000229
.29
.30
.0000000
.0000000
.0000001
.0000008
.0000062
.0000368
.30
.31
.0000000
.0000000
.0000002
.0000014
.0000102
.0000581
.31
.32
.0000000
.0000000
.0000003
.0000025
.0000164
.00C0901
.32
.33
.0000000
.0000001
.0000005
.0000040
.0000263
.0001369
.33
.34
.0000000
.0000001
.0000009
.0000066
.0000410
.0002048
.34
.35
.0000000
.0000002
.0000014
.0000107
.0000631
.0003011
.35
.36
.0000000
.0000003
.0000024
.0000169
.0000954
.0004361
.36
.37
.0000000
.0000005
.0000038
.0000264
.0001421
.0006224
.37
,38
.0000001
.0000007
.0000062
.0000404
.0002086
.0008756
.38
.39
.0000001
.0000012
.0000097
.0000610
.0003022
.0012151
•? 9
.40
.0000002
.0000019
.0000151
.0000909
.0004315
.0016645
.40
.41
.0000003
.0000031
.0000232
.0001335
.0006085
.0022516
.41
.42
.0000005
.0000048
.0000351
.0001938
.0008474
.0030091
.42
•43
.0000007
.0000076
.0000523
.0002778
.0011661
.0039746
.43
.44
.0000012
.0000116
.0000773
.0003935
.0015860
.0051906
.44
.45
.0000020
.0000176
.0001127
.0005512
.0021332
.0067044
.45
.46
.0000031
.0000264
.0001626
.0007635
.0028381
.0085673
.46
.47
.0000047
.0000392
.0002320
.0010463
.0037364
.0108343
.47
.48
.0000073
.0000575
.0003275
.0014192
.0048685
.0135622
.48
.49
.0000109
.0000838
.0004577
.0019055
.0062803
.0168086
.49
.50
.0000164
.0001207
.0006333
.0025335
.0080225
.0206294
.50
48
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
1 _
I n=24 r=l6
n=24 r *15
n-24 r=l4
n=24 r-13
n=24 r=12
n=24 r=ll
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.oooooob
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000003
.0000023
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000007
.0000064
.10
.11
.0000000
.0000000
.0000000
.0000003
.0000021
.0000156
.11
.12
.0000000
.0000000
.0000001
.0000006
.0000052
.0000352
.12
.13
.0000000
.0000000
.0000002
.0000016
.0000119
.0000732
.13
.14
.0000000
.0000001
.0000004
.0000038
.0000251
.0001423
.14
.15
.0000000
.0000001
.0000012
.0000081
.0000499
.0002611
.15
.16
.0000000
.0000004
.0000024
.0000165
.0000940
.0004552
.16
.3.7 !
.0000001
.0000007
.0000051
.0000319
.0001684
.0007589
.17
.18
.0000002
.0000015
.0000101
.0000586
.0002891
.0012157
.18
.19
.0000004
.0000030
.0000191
.0001033
.0004775
.0018787
.19
.20
.0000008
.0000058
.0000345
.0001756
.0007612
.0028104
.20
.21
.0000016
.0000107
.0000602
.0002884
.0011755
.0040816
.21
.22
.0000030
.0000191
.0001017
.0004590
.0017630
.0057696
.22
.23
.0000056
.0000331
.0001666
.0007098
.0025743
.0079553
.23
.24
.0000099
.0000558
.0002653
.0010689
.0036672
.0107194
.24
.25
,0000171
.0000915
.0004114
.0015709
.0051057
.0141385
.25
.26
.0000288
.0001460
.0006229
.0022567
.0069582
.0182805
,26
.27
.0000473
.0002274
.0009223
.0031735
.0092955
.0231990
.27
.28
.0000758
.0003466
.0013368
.0043750
.0121876
.0289288
.28
.29
.0001188
.0005173
.0018998
.0059195
.0157003
.0354818
.29
• 30
.0001825
.0007571
.0026498
.0078690
.0198914
.0428428
.30
.3!
.0002749
.0010877
.0036315
.0102875
.0248063
.0509667
-31
.32
.0004064
.0015356
.0048947
.0132378
.0304747
.0597771
.32
.33
.0005907
.0021322
.0064935
.0167793
.0369059
.0691665
.33
.34
.0008444
.0029142
.0084856
.0209642
.0440865
.0789967
.34
.35
.0011884
.0039236
.0109300
.0258346
.0519767
.0891028
.35
• 36
.0016476
.0052072
.0138857
.0314182
.0605092
.0992972
.36
•37
.0022517
.0068161
.0174086
.0377257
.0695888
.10937^4
.37
.38
.0030355
.0088049
.0215487
.0447471
.0790925
.II9II9O
.38
•39
.0040386
.0112301
.0263473
.0524491
.•0888720
.1283123
•39
.40
.0053057
.0141483
.0318336
.0607734
.0987567
.1367401
.40
.41
.0068853
.0176145
.0380214
.0696357
.•1085581
.1442010
.41
.42
.0088304
.0216787
.0449060
.0789257
.1180753
.I505I36
.42
•43
.0111959
.0263842
.0524615
.0885081
.1271018
.1555234
.43
.44
.0140383
.0317633
.0606390
.0982251
*1354317
.1591085
.44
•45
.0174127
.0378351
.0693644
.1079001
.1428677
.1611841
.45
.46
.0213718
.0446020
.0785383
.1173419
.1492281
.1617055
.46
.47
.0259620
.0520467
.0880366
.1263503
.1543535
.1606691
.47
.48
.0312214
.0601301
.0977113
.1347232
.1581127
.1581127
.48
.49
.0371761
.0687885
.1073943
.1422626
.1604083
.1541128
.49
.50
.0438375
.0779333
.1169000
.1487818
.1611802
.1487818
.50
49
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
n=24 r=10
n-24 r- 9
n=24 r= 8
n-24 r- 7
n-24 r=* 6
n=24 r= 5
P
.01
.0000000
.0000000
.0000000
.0000000
.0000001
.■OOOOO35
.01
.02
.0000000
.0000000
.0000000
.QOOO0O3
.0000060
.0000927
.02
.03
.0000000
.0000000
.0000003
.0000045
.0000567
.0005791
.03
.04
.0000000
.0000002
.0000025
.0000283
.0002644
.0020040
.04
.05
.0000001
.0000012
.0000126
.0001131
.OOO8354
.0050121
.05
.06
.0000005
.0000053
.0000459
.0003384
.0020617
.0102004
.06
.07
.0000020
.0000178
.0001327
.OOO83OI
.0042886
.0179927
.07
.08
.0000066
.0000502
.0003250
.0017589
.0078659
.0285660
.08
.09
.0000182
.0001231
.0007001
.0033313
.0130988
.0418243
.09
.10
.0000449
.0002692
.0013628
.0057720
.0202022
.0574166
.10
.11
.0000995
.0005369
.0024431
.0093022
.0292690
,07^7831
.11
.12
.0002028
.0009916
.0040901
.0141150
.0402539
.0932195
.12
.13
.0003848
.0017168
.0064628
.0203534
.0529711
.1119470
.13
.14
.0006867
.0028124
.0097177
.0280916
.0671078
.I3OI788
.14
.15
.0011622
.0043909
.0139958
.0373222
.0822471
.1471789
.15
.16
.0018778
.0065722
.0194086
.0479506
.0978992
.1623666
.16
.17
.0029115
.0094767
.0260259
.0597966
.1135354
.1750485
.17
.18
.0043517
.0132161
.0338662
.0726022
.1286224
.1850357
.18
.19
.0062930
.0178855
.0428899
.0860453
.1426540
,1920495
.19
.20
.OO88327
.0235539
.0529963
.0997576
.1551787
.1960151
.20
.21
.0120644
.0302568
.0640256
.1133449
.1658195
.1969886
.21
.22
.0160726
.0379897
.0757636
.1264078
.1742894
.1951375
.22
.23
.0209258
.0467040
.0879508
.1385619
'.180^982
.1907185
*23
.24
.0266708
.0563052
.1002935
.1494571
.1840535
.1840536
.24
• 25
.0333267
.0666534
.1124775
.1587919
.1852571
.1755068
.25
.26
.0408801
.0775673
.1241824
.1663257
.1840955
.1654623
,26
.27
.0492824
.0888300
.1350957
.1718864
.1807283
.1543061
.27
.28
.0584480
.1001965
.1449272
.1753740
.1753740
.1424090
.28
.29
.0682545
.1114038
.1534204
.1767603
.1682947
.1301153
.29
.30
.0785451
.1221814
.1603630
.1760849
.1597807
.1177332
• 30
.31
.0891330
.1322618
.1655940
.1734495
.1501364
.1055288
-31
.32
.0998065
.1413926
.1690082
.1690083
.1396666
.0937236
• 32
.33
.1103369
.1493450
.1705587
.1629580
.1286656
.0824937
.33
.34
.1204865
.1559238
.1702550
,1555271
.1174076
.0719713
.34
.35
.1300175
.1609740
.1681604
.1469637
.1061404
.0622478
.35
.36
.1387008
.1643861
.1643861
,1375257
.0950794
.0533780
.36
.37
.1463252
;1660989
.1590846
.1274701
.0844058
.0453846
.37
.38
.1527052
;1661005
.1524408
.1170444
.0742650
.0382639
.38
.39
.1576877
.1644266
.1446638
.1064795
.0647675
.0319904
•? 9
.40
.1611579
.1611579
.1359771
.0959837
.0559906
.0265218
.40
.41
.1630425
.1564149
.1266101
.0857389
.0479813
.0218040
.41
.42
.1633124
.1503511
.1167906
.0758975
.0407597
.0177750
.42
.1619820
.1431469
.1067360
.0665822
.0343234
.0143680
.4}
.44
.1591085
.1350012
.0966485
.0578858
.0286505
.0115151
.44
.45
.1547880
.1261235
.0867099
.0498723
.0237048
.0091492
.45
.46
.1491507
.1167266
.0770776
.0425800
.0194387
.0072061
.46
.47
.1423558
.1070192
.0678832
.0360231
.0157974
.0056255
*47
.48
.1345840
.0971996
.0592310
.0301962
.0127215
.0043521
.48
.49
.1260310
.0874501
.0511985
.0250768
.0101502
.0033361
.49
.50
.1169000
.0779333
.0438375
.0206294
.0080225
.0025335
.50
50
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n-24 r- 4
n=24 r- 3
n=24 r= 2
n-24 r= 1
n=24 r= 0
n=25 r~24
p
.01
.0000869
.OOI6389
.0221250
.1904675
.7856781
.0000000
.61
.02
.0011350
.0105937
.0707853
.3016067
.6157803
.0000000
.02
.03
.0046804
.0288258
.1270954
.3573406
.4814172
.0000000
.03
.04
.0120236
.0549650
.1798855
.3754133
.3754132
.0000000
.04
.05
.0238080
.0861621
.2232381
.3688283
.2919890
.0000000
.05
.06
.0399514
.1192200
.2546973
.3469790
.2265001
.0000000
.06
.07
.0597614
.1512330
.2739870
.3165316
.1752229
.0000000
.07
.08
.0821270
.1798974
.2821118
.2821118
.1351786
.0000000
.08
.09
.1057226
.2036138
.2807403
.2468345
.1039904
.0000000
.09
.10
.1291873
.2214641
.2717967
.2127106
.0797664
.0000000
.10
.11
.1512658
.2331195
.2572022
.1809564
.0610043
.0000000
.11
.12
.1709025
.2387208
.2387209
.1522278
.0465140
.0000000
.12
.13
.1872959
.2387508
.2178810
.1267936
.0353559
.0000000
.13
.14
.1999176
.2339172
.1959436
.1046655
.0267894
.0000000
.14
.13
.2085035
.2250514
'.1739034
.0856915
.0202327
.0000000
.15
.16
.2130274
.2130274
.1525083
.0696233
.0152301
.0000000
.16
.17
.2136620
.1986997
.1322894
.0561637
.0114255
.0000000
.17
.18
.2107351
.1828601
.1135949
.0449989
.0085415
.0000000
.18
.19
.2046843
.1662099
'.0966244
'.0358195
‘.0063627
.0000000
.19
.20
.1960151
.1493448
'.o8l46o8
.0283342
'.0047224
.0000000
.26
.21
.1852630
.1327509
.0680995
■.0222768
.0034918
.6000000
.21
.22
.1729627
.1168060
'.0564724
.0174104
‘.0025720
.0000060
.22
.23
.1596231
.1017886
.0464687
.0135278
'.0018870
.0000006
*23
.24
.1457091
.0878880
.0379517
'.0104504
'.0013789
.0000060
.24
.25
.1316300
.0752172
.0307707
.0080271
',0010034
‘.0000000
.25
.26
.1177329
.0638258,
.0247716
'.00^1308
'.0007270
Y0000000
,26
.27
.1042994
.0537133
■.0198034
.0046559
‘.0005245
’.0000000
.27
.28
.0915487
.0448401
.0157232
.0035157
'.0003767
■.0000000
.28
.29
.0796395
.0371390
.0123990
.0026397
'.0002693
'.0000000
.29
• 30
.0686777
.0305234
'.0097120
.0019705
'.0001916
’.0000000
.30
.31
.0587217
.0248958
.0075563
'.0014626
.0001356
'.0000000
*31
.32
.0497907
.0201533
.0058399
.0010792
.0000955
’.0000000
.32
.33
.0418718
.0161928
‘.0044832
.0007914
*.0000670
’. 0000000
.33
.34
.0349272
.0129143
;0034185
'. OOO.5770
'.0000467
.0000000
.34
.35
.0289007
.0102234
'.0025890.
■.0004101
'.0000324
10000000
.35
.36
.0237235
.0080334
‘.0019474
; 0003011
'.0000223
10000000
.36
.37
.0193191
.0062657
; 0014548
;0002154
;0000153
.0000000
•37
.38
.0156077
.0048505
.0010792
: 0001531
.0000104
.0000000
.38
.39
.0125090
.0037268
; 0007948
.0001082
.0000070
.0000000
.40
.0099457
.0028416
;0005812
:0000759
.0000047
.0000000
.40
• 41
.0078441
.0021501
.0004219
; 0000528
10000032
10000000
.41
.42
.0061366
.0016141
.0003040
;0000365
i0000021
.0000000
.42
* is
.0047614
.0012022
; 0002174
'.0000250
10000014
.0000000
.43
.44
.0036639
.0008882
; 0001541
.0000171
;0000009
looooooo
.44
.45
.0027956
.0006508
.0001085
.0000115
10000006
.0000001
.45
.46
.0021148
.0004729
.0000757
.0000077
10000004
.0000001
.46
.47
.OOI5859
.0003406
.0000524
• 0000052
10000002
.0000002
i47
.48
.0011787
.0002432
.0000360
.0000033
.0000002
.0000003
.48
.49
.0008681
.0001721
.0000244
.0000022
.0000001
.0000005
.49
• 50
.0006333
.0001207
.0000164
.0000014
.0000001
.0000008
.50
51
y. OF ILL. LIB.
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q Q ' r
p
n -25 r-23
n=25 r=22
n-25 r-21
n-25 ~r *20
n-25 r»19
n s25 r= l8
p
.01
.0000000
.0000000
.0000000
i 0000000
.0000000
.0000000
.61
.02
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
i0000000
.0000000
.6000000
.0000000
.0000000
.05
.04
.0000000
.0000000
,0000000
*0000060
.0000000
.0000000
.04
.05
.0000000
.0000000
,0000060
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000600
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.6000000
.0000000
•°?
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000600
.0000000
,0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
*000000-0
.0000000
.0000000
.11
.12
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000006
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
,0000000
.0000000
.0000000
.0000000
.16
.1?
.0000000
.0000000
.0000000
.0000000
.0000000
.0600000
.17
.18
.0000000
.0000000
,0000000
.0000000
.0000000
.0000000
. 18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
‘,0000000
.0000600
.0000000
.0000000
.20
.21
‘.0000000
.0000600
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000600
.0000000
.0000001
.22
.23
‘.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
*23
.24
.0000000
'.0000000
.0000000
.0006006
.0000001
.0000005
.24
.25
‘.0000000
.0000000
.0000000
.0000066
.0000001
.0000010
• 25
.26
.0000000
.0000000
.0000000
.0000000
.0000002
.0000018
. 26
.27
.0000000
,0000000
.0000000
’.6000001
.0000004
.0000031
.27
.28
'.0000000
'.0000000
.0000000
’.0000001
.0000008
.0000054
.28
.29
.0000000
‘.0000000
.0000000
.0000002
,0000014
.0000092
.29
• 30
iOOOOOOO
;ooooooo
.0000000
’.0000003
,0000025
.0000153
.30
.31
’.0000000
.0000000
.0000001
;0000005
.0000042
.0000250
.31
.32
‘.0000000
.0000000
.0000001
.0000016
.0000069
.0000400
.32
.33
.0000000
.0000000
.0000002
;oooooi7
.0000114
.0000627
• 33
• 34
.0000000
.0000000
;0000004
.0000028
.0000184
.0000966
.34
• 35
.0000000
.0000001
.0000006
.0000047
.0000290
.0001464
.35
• 36
.0000000
;0000001
.0000010
.000007?
.0000452
.0002180
. 36
•|Z
.0000000
;0000002
.0000017
.0000122
.0000692
.0003198
.38
.0000000
.0000003
;0000028
.0000192
.0001044
.0004620
.38
.39
.0000000
.0000006
.0000045
;0000297
.0001551
.0006581
.40
.0000001
.0000009
.0000072
; oooo454
.0002271
.0009247
.40
• 4 JL
.0000001
.0000015
;ooooii3
;0000684
.0003283
.0012822
.41
.42
;0000002
.0000023
•.0000176
;0001017
.0004683
.0017553
.42
1 , -v
: oooooo4
.0000037
.0000268
;0001493
,0006597
.0023737
•
It la
.44
;0000006
;0000058
.0000405
:0002164
.0009183
.0031720
.44
•45
it /*
.0000009
.0000090
.0000604
;0003100
.0012631
.0041903
• 45
1 .^
• 46
.0000015
;0000138
;0000891
.’0004390
.0017178
.0054736
.46
• 47
i. Q
.0000024
.0000209
.0001298
.0006147
.0023107
.0070724
i47
1,0
• 4o
.0000038
.0000314
.0001871
.0008515
.0030749
.0090414
• 4o
ll A
.49
.0000058
.0000467
.0002670
.0011671
.0040491
.0114392
.49
cn
• 50
.0000089
.0000686
,0003770
.0015834
.0052779
.0143260
•
58
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P q.
n-25 r= l6
n =25 r =15
n -25 r=l 4
n =25 r=l 3
n-25 r=l 2
.01
.02
.05
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
.23
.24
.25
.26
.27
.28
.29
.30
.31
.32
.33
.34
.35
.36
.37
.38
.39
.40
.41
.42
.43
.44
.47
.48
.49
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.000000,0
.0000000
.0000001
.0000001
.0000003
.0000005
.0000010
.0000019
.0000035
.0000063
.0000110
.0000187
.0000312
.0000507
.0000805
.0001253
.0001913
.0002867
.0004223
.0006117
.0008723
.0012252
.0016964
.0023163
.0031210
.0041514
.0054541
.0070798
.0090836
.0115231
.0144574
.0179443
.0220387
.0267887
.0322335
.0000000
.0000000
.0000000
.0000000
♦0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
•tioooooi
.0000002
.0000004
.0000009
.0000018
.0000035
.0000066
.0000119
.0000209
.0000357
.0000593
.0000960
.0001516
.0002344
.0003549
.0005269
.0007678
.0010994
.0015481
.0021457
.0029290
.0039405
.0052279
.0068433
.0088427
.0112843
.0142267
.0177269
.0218372
.0266028
.0320577
.0382219
.0450975
• 0526662
.0608854
.0000000
.oopoooo
.oopoooo
. 00.00000
. 00.00000
. 00.00000
. 00.00000
. 00.00000
. 00.00000
.OO.OOOOO'
.OQOOOOO
. 00.00000
. 00.00000
.00.00001
.0000003
.0000006
.0000015
.0000030
.0000060
.0000115
.0000210
.0000373
.0000638
.0001061
.0001714
.0602699
.0604150
.0606239
.0609182
.0613249
.0618762
.0626105
.0635714
.0648085
.0063758
.0083314
.0107354
.0136475
.0171258
.0212224
.0259813
.0314342
.0375974
.0444686
.0520233
.0602127
.0689619
.0781691
.0877053
.0974166
.0000000
.0006000
.0000000
.0060000
.0000000
.0060000
.0060000
.0060000
.0000000
.0060000
.0060001
.0060002
.0000004
.0060010
.0000022
.0060048
.0060096
.0000188
.0060351
.0000627
.0001082
.0001803
.0002916
.0004581
.0007013
.0010478
.0015301
.0021875
.0030654
. 00421 56
.0056949
.0075645
.0098878
.0127283
.0161466
.0201975
.0249259
.0303641
.0365270
.0434096
.0509832
.0591942
.0679616
.0771769
.0867054
.0963879
. 10 * 604 40 '
.1154771
.1244798
.1328409
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.0000004
.0000012
.0000030
.0000067
.0000144
.0000289
.0000551
.0001001
.0001745
.0002927
.0004747
.000.7459
.0011386
.0016926
.0024546
.0034791
.0048265
.0065625
.0087560
.0114757
.0147884
.0187536
.0234211
.0288258
.0349843
.0418910
.0495151
.0577983
.0666541
.0759667
.0855939
.0953686
.1051034
.1145961
.1236356
.1320095
.1395119
.1459501
.1511539
.1549810
.0000000
.0000000
.0000000
.octooOoo
.0000000
.0000000
,0000000
.0000001
.0000005
.0006015
.0000036
. 0000088
.0000198
.0000415
.0000816
.0003/517.
.0Q02j588
.0004559
.0007436
. 001-1711
.0017857.
.0026444
.0038119
.0053596
.0073639
.0099019
.0130494
.0168752
.0214369
.0267768
.0329160
.0398514
.0475520
.0559560
.0649709
.0744728
.0843094
.0943026
.1042537
.1139500
.1231717
.1.316994
.1.393230
.L458494
.L 511101
.1549677
.1573218
.1581127
.1573235
.1549810
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
.23
.24
.25
,26
.27
.28
.29
.30
-31
.32
.33
.34
.35
.36
•37
.38
•59
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
53
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
n=25 r=ll
n-25 r=10
n=25 r=. 9
n=25 r- 8
n-25 r= 7
n=25 r-6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000004
.0000078
.02
.03
.0000000
.0000000
.0000000
.0000004
.0000061
.0000724
.03
.04
.0000000
.0000000
.0000003
.0000035
.0000378
.0003340
.04
.05
.0000000
.0000002
.0000017
.0000177
.0001492
.0010442
.05
.06
.0000001
.0000008
.0000076
.0000635
.0004418
.0025501
.06
.07
.0000003
.0000032
.0000258
.0001815
.0010722
.0052479
.07
.08
.0000012
.0000101
.0000722
.0004397
.0022474
.'0095220
.08
.09
.0000037
.0000277
.0001750
.0009370
.0042103
.0156841
.09
.10
.0000102
.0000673
.0003785
.0018038
.0072151
.0239235
.10
.11
.0000249
.0001476
.0007465
.0031976
.0114986
.0342756
.11
.12
.0000553
.0002974
.0013634
.OO5293I
.0172517
.0466098
.12
.13
.0001137
.0005580
.0023337
.0082686
.0245937
.0606380
.13
.14
.0002185
.0009844
.0037791
.0122901
.0335538
.0759377
.14
.15
.0003962
.0016466
.OO583I6
.0174947
.0440610
.0919868
.15
.16
.0006828
.0026289
.0086261
.0239753
.0559424
.1082044
.16
.17
.0011249
.0040276
.0122900
.0317669
.0689323
.1239926
.17
.18
.0017802
.0059473
.0169331
.0408387
.0826858
.1387768
.18
.19
.0027175
.0084956
.0226363
.0510894
.0968009
.1520392
.19
.20
.0040148
.0117770
.0294423
.0623486
.1108419
.1633459
.20
.21
.0057580
.0158848
.0373483
.0743826
.1243646
.1723650
.21
.22
.0080363
.0208943
.0463000
.0869053
.1369417
.1788760
.22
.23
.0109385
.0268S48
.0561908
•0995914
.1481842
.1827719
*23
.24
.0145478
.0337831
.0668623
.1120928
.1577602
.1840536
.24
• 25
.0189356
.0416584
.0781094
.1240561
.1654081
.1828196
.25
.26
.0241564
.0504188
.0896873
.1351396
.1709458
.1792509
,26
.27
.0302415
.0599603
.1013217
.1450292
.1742737
.1735944
.27
.28
.03.71941
.0701376
.1127211
.1534523
.1753740
.1661439
.28
.29
.0449859
.0807678
.1235887
.1601889
.1743052
.1572227
.29
.30
•0535535
.0916360
.1336359
.1650796
.1711936
.1471665
.30
.31
.0627982
.1025030
.1425948
.1680292
.1662224
.1363080
.31
.32
.0725866
.1131140
.1502296
.1690083
.1596189
.1249648
.32
.33
.0827527
.1232095
.1563455
.1680505
.1516416
.1134288
.33
.34
.0931032
.1325352
.1607964
.1652475
.1425665
.1019593
.34
.35
.1034230
.1408522
.1634893
.1607415
.1326755
.0907780
.35
.36
.1134825
.1479475
.1643861
.1547164
.1222450
.0800669
.36
.37
.1230462
.1536415
.1635036
.1473872
.1115363
.0699680
•37
.38
.1318818
.1577954
.1609098
.1389902
.1007882
.0605846
.38
.39
.1397687
.1603159
.1567191
.1297719
.0902118
.0519844
•39
.40
.1465072
.1611580
.1510855
.1199798
.0799864
.0442031
.40
.41
.1519260
.1603252
.1441949
.1098530
.0702582
.0372486
.41
.42
.1558890
.1578687
.1362556
.0996155
.0611397
.0311061
.42
.43
.1583006
.1538830
.1274902
.0894698
.0527HO
.0257425
. 43
.44
.1591085
.1485013
.1181260
.0795930
.0450222
.0211110
.44
.45
.1583058
.1418889
.IO83874
.0701330
.0380970
.0171547
.45
.46
.1559303
.1342356
.0984881
.0612087
.0319350
.0138117
.46
.47
.1520618
.1257476
.0886253
.0529090
.0265170
.0110166
w47
.48
.1468189
.1166395
.0789747
.0452942
.0218084
.0087042
.48
.49
.1403528
.1071264
.0696868
.03839 8 9
.0177627
.0068113
.49
.50
.1328409
.0974166
.0608854
.0322335
.0143260
.0052779
. 50
54
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=25 r- 5
n=25 r- 4
n=25 r* 3
n=25 r? 2
n=25 r= 1
n=25 r- 0
p
.01
.0000044
.0001024
.OOI8438
.0238084
.1964195
•.7778214
.01
.02
.0001135
.0013242
.0117975
.0754017
.3078902
.6034647
.02
.03
.0007021
.0054648
.0317738
.1340028
.3610629
.4669747
.03
.04
.0024047
.0137413
.0599618
.1877066
•3754133
.3603967
.04
.05
.0059519
.0269257
.0930159
.2305176
.3649863
.2773896
.05
.06
.0119854
.0447075
.1273486
.2602342
.3397503
.2129101
.06
.07
.0209165
.0661644
.1598258
.2769651
.3066400
.1629573
.07
.08
.0328508
.0899487
.1880746
.2821118
.2703571
.1243643
.08
.09
.0475752
.1145327
.2105553
.2776887
.2339785
.0946313
.09
.10
.0645937
.1384150
.2264974
.2658881
.1994161
.0717898
.10
.11
.0831961
.1602697
.2357687
.2488151
.1677617
.0542938
.11
.12
.1025414
.1790407
.2387208
.2283417
.1395421
.0409324
.12
.15
.1217423
.1939851
.2360377
.2060396
.1149068
.0307596
.13
.14
.1399423
.2046775
.2286009
.1831647
.0937628
.0230389
.14
.15
.1563776
.2109857
.2173792
.1606716
.0758727
.0171978
.15
.16
.1704219
.2130274
.2033443
.1392467
.0609204
.0127933
.16
.17
.1816127
.2111184
.1874100
.1193480
.0485583
.0094831
.17
.18
.1896616
.2057176
.1703924
.1012476
.0384366
.0070040
.18
.19
.1944501
.1973742
.1529886
.0850715
.0302227
.0051538
.19
.20
.1960151
.1866810
.1357681
.0708355
.‘0236118
.0037779
.20
.21
.1945262
.1742355
.1191741
.0584767
.0183320
.0027585
.21
.22
.1902591
.1606082
.1035326
.0478788
.0141459
.0020062
.22
.23
.1835665
.1463212
.0890650
.0388923
.0108504
.0014530
*23
.24
.1748509
.1318320
.0759033
.0313514
.0082733
.0010479
.24
• 23
.1645376
.1175268
.0641056
.0250848
.0062712
.0007525
.25
.26
.1530527
.•IO37170
.0536717
.0199250
.0047258
.0005380
,26
.27
.1408042
.0906412
.0445577
.0157135
.0035404
.0003829
.27
.28
.1281680
.0784703
.0366874
.0123051
.0026368 ,
.0002712
.28
.29
.1154773
.0673144
.0299644
.0095688
.0019523
.0001912
.29
• 50
.1030165
.0572314
.0242800
.0073895
.0014369
.0001341
.30
.51
.0910186
.0482357
.0195206
.0056672
.0010512
.0000936
.31
.52
.0796651
.0403068
.0155730
.0043165
.0007643
.0000650
.32
.55
.0690885
.0333977
.0123286
.0032649
.0005524
.0000449
.33
.54
.0593763
.0274428
.0096857
.0024524
.0003967
.0000308
.34
.55
.0505763
.0223637
.0075514
.0018292
.0002831
.0000210
.35
.56
.0427023
.0180751
.0058425
.0013547
.0002007
.0000143
,36
.57
;0357404
.0144893
.0044857
.0009962
.0001414
.0000096
•37
.58
.0296545
.0115200
.0034174
.0007273
.0000988
.0000065
.38
.59
.0243927
.0090840
.0025833
.0005270
.OOOO687
.0000043
•39
.40
.0198914
.0071040
.0019375
.0003791
.0000474
.0000028
.40
. 41
.0160805
.0055096
.6014415
.0002706
.0000324
.0600019
.41
.42
.0128869
.0042371
.0010639
.0001916
.0000221
.0000012
.42
.0102372
.0032310
.0007787
.0001346
.0000149
.0000008
• 43
.44
.0080605
.0024426
.0005652
iOOOO938
.0000100
.0000005
.44
.45
.0062901
.0018305
.0004067
.0000649
.0000066
.0000003
• 45
.46
.0048641
.0013595
.0002902
.0000444
.0000044
.0000002
. 46
.47
.0037269
.0010006
.0002052
.00003'bl
.0000029
.0000001
• 47
.48
.0028289
.0007297
.0001437
.0000203
.0000018-
.0000001
.48
.49
.0021268
.0005270
.0000997
.0000136
.0000012
.0000000
.49
.50
.0015834
.0003770
.0000686
.0000089
.0000008
.0000000
• 30
832939 0 - 50 -5
55
BINOMIAL DISTRIBUTION
/
Table 1 - Individual Terms
r n-r
P <1
p
n=26 r=25
n=26 r=24
n*26 r=23
n=26 r-22
n=26 r=21
n-26 r=20
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000060
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000600
.0000000
. OQOOOOO
.20
.21
.0000000
.0000000
.0000000
.0000000
,0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
*23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
,26
.27
.0000000
.0000000
.0000000
.0000600
.0000000
.0000002
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.29
• 50
.0000000
.0000000
.0000000
.0000000
.0000001
.0000010
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000002
.0000017
,31
.32
.0000000
.0000000
.0000000
.0000000
.0000004
.0000029
.32
.33
.0000000
.0000000
.0000000
.0000001
.0000007
•0000049
.33
.34
.0000000
.0000000
.0000000
.0000002
.0000011
.0000082
.34
.35
.0000000
.0000000
.0000000
.0000003
.0000020
.0000132
.35
• 36
.0000000
.0000000
.0000000
.0000005
.0000034
.0000211
.36
•37
.0000000
.0000000
.0000001
.0000007
.0000056
.0000333
•37
.38
.0000000
.0000000
.0000001
.0000013
.0000090
.0000516
.38
.39
.0000000
.0000000
.0000003
.0000020
.0000144
..0000786
.39
.40
.0000000
.0000000
.0000004
.0000034
.0000225
.0001181
.40
.41
.0000000
.0000001
.0000006
.0000055
.0000347
.0001750
.41
.42
.0000000
.0000001
.0000011
.0006087
.0000529
.0002557
.42
• ^3
.0000000
.0000002
.0000018
.0000136
.0000795
.0003608
.43
.44
.0000000
.0000003
.0000029
.0000210
.0001179
.0005253
.44
.45
.0000000
.0000005
.0000046
.0000321
.0001727
.0007389
.45
.46
.0000001
.0000007
.0000072
.0000484
.0002500
.0010273
.46
.47
.0000001
.0000012
,0000111
.0000721
.0003577
.0014118
>47
.48
.0000002
.OOO0O19
,0000171
.0001061
.0005060
.0019187
.48
.49
.0000002
.0000032
.0000258
.0001546
.0007080
.0025794
.49
.50
.0000004
.0000048
.0000388
.0002228
.0009802
.0034307
.50
56
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p
n*26 r=19
n=26 r=l8
n=26 r*l7
n=26 r=l6
n=26 r-15
n -26 r-14
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.12
.15
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000003
.0000017
.14
.15
.0000000
.0000000
.0000000
.0000001
.0000005
.0000041
.15
.16
.0000000
.0000000
.0000000
.0000002
.0000013
.0000086
.16
.17
.0000000
.0000000
.0000001
..0000004
.0000028
.0000174
.17
.18
.0000000
.0000000
.0000001
.0000009
.0000059
.0000334
.18
.i9
.0000000
.0000000
.0000005
..0000019
.0000115
.0000616
.19
.20
.0000000
.0000001
.0000005
.0000038
.0000217
.0001087
.20
.21
.0000000
.0000002
.0000011
.0000072
.0000394
.0001851
.21
.22
.0000000
.0000004
.0000022
.0000133
.0000688
.0003047
.22
.25
.0000001
.0006006
.0000042
.0000239
.0001162
.0004863
*23
.24
.0000002
.0000012
.0000077
.0000414
.0001905
.0007544
.24
.25
.0000004
.0000022
.0000137
.0000696
.0003039
.0011397
.25
.26
.0000006
.0000041
.0000236
.0001141
.0004722
.0016798
,26
.27
.0000011
.0000073
.0000396
.0001821
.0007161
.0024202
.27
.28
.0000021
.0000126
.0000649
.0002839
.0010617
.0034125
.28
.29
.0000036
.0000213
.0001039
.0004327
.0015409
.0047157
.29
• 50
.0000063
.0000349
.0001628
.0006459
.0021921
.0063936
.30
.51
.0000106
.0000561
.0002498
,0009452
.0030601
.0085138
.31
.52
.0000175
.0000885
.0003757
.0013575
,0041-957
.0111450
.32
.55
.0000283
.0001366
.0005549
.0019152
.0056558
.0143538
.33
•34
.0000449
.0002074
.0008050
.0026567
.0075012
.0182015
.34
.35
.0000701
.0003093
.0011486
.0036262
.0097956
.0227398
.35
.36
.0001075
.0004535
.0016127
.0048739
.0126032
.0280071
.36
.37
.0001619
.0006548
.0022299
•0064546
.0159859
.0340239
•37
.38
.0002403
.0009311
.0030383
.0084273
.0199998
.0407892
.38
.39
.0003513
.0013048
.0040818
.0108535
.0246923
.0482765
.39
.40
.0005062
.0018032
.0054097
.0137946
.0300972
.0564324
.40
.41
.0007194
.0024586
.0070758
.0173101
.0362321
.0651736
.41
.42
.0010089
.0033087
.0091386
.0214538
.0430934
.0743875
,42
.0013967
.0043973
.0116581
.0262712
.0506540
.0839326
.4}
.44
.0019099
,0057731
.0146952
.0317950
.0588603
.0936413
.44
• 45
.0025803
.0074901
.0183090
.0380420
.0676302
.1033240
.45
.46
.0034455
.0096061
.0225535
.0450090
.0768533
.1127739
.46
.47
.0045487
.0121822
.0274748
.0526697
.0863905
.-1217739
.47
.48
.0059389
.0152801
.0331069
.0609719
.0960769
.1301041
.48
.49
.0076702
.0189605
.0394686
.0698354
.1057248
.1375501
.49
.50
.0098019
.0232797
.0465595
.0791510
.1151287
.1439110
.50
57
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n-26 r=l3
n=26 r=12
n=26 r=H
n=26 r-10
n-26 r= 9
n=26 r= 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000006
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000004
.0000049
.04
.05
.0000000
.0000000
.0000000
.0000002
.0000026
.0000242
.05
.06
.0000000
.0000000
.0000001
.0000012
.0000110
.0000862
.06
.07
.0000000
.0000001
.0000005
.0000047
.0000367
.0002439
• °7
.08
.0000000
.0000002
.0000019
.0000150
.0001017
.0005843
.08
.09
.0000001
.0000007
.0000059
.0000410
.0002436
.0012315
.09
.10
.0000003
.0000022
.0000159
.0000984
.0005211
.0023449
.10
.11
.0000008
.0000059
.0000384
.0002135
.0010161
.0041108
.11
.12
.0000021
.0000144
.0000844
.0004253
.0018350
.0067281
.12
.13
.0000052
.0000320
.0001714
.0007889
.0031053
.0103908
.13
.14
.0000116
.0000663
.0003257
.0013756
.0049707
.0152670
.14
.15
.0000244
.0001288
.OOO5838
.0022743
.0075811
.0214797
.15
.16
.0000485
.0002368
.0009942
.0035884
.0110819
.0290901
.16
.17
.0000914
.0004143
.0016184
.OO54322
.0156011
.0380850
.17
.18
.0001642
.0006943
.0025302
.0079247
.0212362
.0483712
.18
.19
.0002825
.0011187
.0038153
.0111824
.0280424
.0597746
.19
.20
.0004684
.0017398
.0055673
.0153100
.0360237
.0720472
.20
.21
.0007500
.0026199
.0078846
.0203922
.0451254
.0848789
.21
.22
.0011635
.0038307
.0108650
.0264836
.0552332
.0979133
.22
.23
.0017535
.0054510
.0145993
.0336021
.0661729
.1107677
.23
.24
.0025727
.0075648
.0191642
.0417221
.0777177
.1230530
.24
.23
.0036819
.0102568
.0246163
.0507711
.0895961
.1343941
.25
,26
.0051491
.0136081
.0309846
.0606286
.1015048
.1444493
,26
.27
.0070467
.0176912
.0382656
.0711278
.1131228
.1529252
.27
.28
.0094501
.0225644
.0464184
.0820609
.1241259
.1595903
.28
.29
.0124335
.0282661
.0553627
.0931858
.1342028
.1642826
.29
• 50
.0160661
.0348098
.0649782
.1042360
.1430689
.1669138
.30
.51
. 0.20 4079
.0421795
.0751067
.1149314
.1504795
.1674691
-31
.52
.0255050
.0503266
.0855554
.1249910
.1562388
.1660037
.32
.55
.0313843
.0591682
.0961034
.1341445
.1602081
.1626355
.33
.54
.0380500
.0685861
.1065101
.1421440
.1623098
.1575359
.34
.55
.0454796
.0784291
.II65232
.1487753
.1625275
.1509184
• 35
• 56
.0536205
.0885163
.1258899
.1538654
.1609050
.1430267
.36
•37
.0623890
.0986420
.1343665
.1572905
.1575405
.1341224
•37
.58
.0716699
.1085827
.1417290
.1589788
.1525804
.1244734
.38
.59
.0813179
.1181046
.1477821
.1589131
.1462097
.1143435
.40
.0911601
.1269729
.1523675
.1571290
.1386432
.1039825
.40
.41
.1010008
.1349610
.1553696
.1537118
.1301147
.0936191
.41
.42
.1106275
.1418591
.1567205
.1487911
.1208668
.0834557
.42
.1198178
.147483^
.1564010
.1425341
.1111414
.0736635
.43
.44
.1283475
.1516835
.1544413
.1351362
.1011714
.0643819
.44
.45
•1359991
.1543482
.1509182
.1268133
.0911729
.0557168
.45
.46
.1425703
.155^105
.1459507
.1177917
.0813396
.0477428
.46
.47
.1478825
.1548496
.1396942
.IO83001
,0718386
.9405048
.47
.48
.1517882
.1526917
.1323328
.0985603
.0628081
.0340211
.48
.49
.1541770
.1490079
.1240718
.0887810
.0543557
.0282872
.49
• 50
.1549810
.1439110
.1151287
.0791510
.0465595
.0232797
.50
58
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n-26 r= 7
n=26 r-
.01
.0000000
.0000002
.02
.0000006
.0000098
.03
.0000081
.0000913
.04
.0000497
.0004168
.05
.0001940
.0012896
.06
.0005683
.0031162
.07
.0013644
.0063447
.08
.0028294
.OII3883
.09
.0052430
.0185543
.10
.0088859
.0279906
.11
.0140040
.0396568
.12
.0207747
.0533215
.13
.0292795
.0685815
.14
.0394876
.0848983
.15
.0512498
.1016454
.16
.0643043
.1181592
.3-7
.0782925
.1337880
.18
.0927822
.1479360
.19
.1072962
.1600972
.20
.1213427
.1698797
.21
.1344447
.1770188
.22
.1461673
.1813802
.23
.1561394
.1829547
.24
.1640706
.1818449
.23
.1697610
.1782491
.26
.1731051
.1724394
.27
.1740903
.1647410
.28
.1727896
.1555106
.29
.1693513
.1451165
• 50
.1639855
.1339215
.31
.1569490
.1222683
.52
.1485296
;1104689
.55
.1390314
.0987965
.54
.1287600
.0874811
.55
.1180114
.0767074
• 56
.1070609
.0666156
•37
.0961560
.0573037
.58
.0855108
.0488312
•39
.0753031
.0412237
.40
.0656731
.0344783
.41
.0567243
.0285697
.42
.0485256
.0234540
• J3
.0411146
.0190752
.44
.0345012
.0153688
•}5
.0286729
.0122657
.46
.0235983
.0096958
.47
.0192318
.0075904
.48
.0155183
.0058841
.49
.0123965
.0045159
.50
.0098019
.0034307
n*26 r- 5
n=26 r= 4
n=26 r* 3
n=26 r= 2
P
.0000053
.0001199
.0020634
.0255345
.01
.0001378
.0015336
.0130697
.0800514
.02
.0008431
.0061959
.0348407
.1408146
.03
.0028582
.0155900
.0650717
.1952149
.04
.0070006
.0302302
.0998910
.2372411
.05
.0139487
.0496650
.1353218
.2650052
.06
.0240839
.0727207
.1680255
.2790424
.07
.0374186
.0977988
.1955975
.2811714
.08
.0536013
.1231748
.2165972
.2737549
.09
.0719758
.1472233
.2304364
.2592409
.10
.0916743
.1685746
.2372037
.2398993
.11
.1117214
.1862023
.2374753
.2176858
.12
.1311339
.1994519
.2321380
.1941923
.13
.1490053
.2080267
.2222398
.1706485
.14
.1645689
.2119447
.2088731
.1479517
.15
.1772388
.2114781
.1930887
.1267145
.16
.1866287
.2070880
.1758394
.1073138
.17
.1925517
.1993590
.1579463
.0899417
.18
.1950057
.1889409
.1400844
.0746502
.19
.1941483
.1764984
.1227816
.0613907
.20
.1902652
.1626726
.1064276
.0500463
.21
.1837359
.1480516
.0912888
.0404575
.22
.1750001
.1331522
.0775253
.0324427
*23
.1645264
.1184091
.0652108
.0258127
.24
.1527849
.1041715
.0543504
.0203814
.25
.1402254
.0907052
.0448976
.0159732
,26
.1272602
.0781987
.0367697
.0124268
.27
.1142527
.0667711
.0298603
.0095980
.28
.1015101
.0564829
.0240497
.0073600
.29
.0892810
.0473460
.0192128
.0056038
.30
.0777559
.0393339
.0152261
.0042363
-31
.0670704
.0323919
.0119710
.0031798
.32
.0573105
.0264450
.0093376
.0023697
.33
.0485189
.0214054
.0072264
.0017535
.34
.0407019
.0171794
.0055486
.0012881
• 35
.0338366
.0136713
.0042269
.0009393
• 36
.0278776
.0107879
.0031946
.0006799
•37
.0227634
.0084410
.0023952
.0004884
.38
.0184222
.0065488.
.0017813
.0003483
.39
.0147765
.0050374
.0013141
.0002464
.40
.0117464
.0038417
.0009614
.0001730
.41
.0092540
.0029044
.0006975
.0001204
.42
.0072245
.0021765
.0005018
.OOOO83I
.43
.0055885
.0016166
.0003578
.0000569
.44
.0042832
.OOH898
.0002529
.OOOO386
.43
.0032520
.0008676
.0001772
.0000259
.46
.0024456
.0006267
.0001229
.0000174
>47
.0018212
.0004484
.0000845
.0000115 .
.48
.0013429
.0003177
.0000575
.0000075
.49
.0009802
.0002228
.OOOO388
.0000048
.50
59
BIN0MI4L DISTRIBUTION
Table 1 - Individual Terms
q 11 - 1
p
n=26 r= 1
n=26 r= 0
n=27 r=26
n=27 r=2 5
n=27 r=£4
n=27 r =23
p
.01
.2022336
.7700431
.0000000
.0000000
.0000000
.0000000
.01
.02
.3138017
.5913954
.0000000
.0000000
.0000000
.0000000
.02
.03
.3642402
.4529655
.0000000
.0000000
.0000000
.0000000
.03
.04
•3748126
.3459808
.0000000
.0000000
.0000000
.0000000
.04
.05
.3606064
.2635201
.0000000
.0000000
.0000000
.OOOOQO0
.05
.06
.3321398
.2001355
.0000000
.0000000
.0000000
.0000000
.06
.07
.2965822
.1515503
.0000000
.0000000
.0000000
.0000000
.07
.08
.2586778
.1144151
.0000000
.0000000
.0000000
.0000000
.08
.09
.2214372
.0861145
.0000000
.0000000
.0000000
.0000000
.09
.10
.1866535
.0646108
.0000000
.0000000
.0000000
.0000000
.10
.11
.1552802
.0483215
.0000000
.0000000
.0000000
.0000000
.11
.12
.1277089
.0360205
.0000000
.0000000
.0000000
0000000
.12
.13
.1039676
.0267609
.0000000
.0000000
.0000000
.0000000
.13
.14
.0838615
.0198134
.0000000
.0000000
.0000000
..0000000
.14
.15
.0670715
.0146181
.0000000
.0000000
.0000000
.0000000
.15
.16
.0532200
.0107464
.0000000
.0000000
.0000000
.0000000
.16
.17
.0419155
.0078710
.0000000
.0000000
.0000000
.0000000
.17
.18
.0327787
.0057433
.0000000
.0000000
.0000000
.0000000
.18
.19
.0254596
.0041746
.0000000
.0000000
.0000000
.0000000
.19
.20
.0196451
.0030223
.0000000
.0000000
.0000000
.0000000
.20
.21
.0150616
.0021792
.0000000
.0000000
.0000000
.0000000
.21
.22
.0114752
.0015648
.0000000
.0000000
.0000000
.0000000
.22
.23
.0086890
.0011188
.0000000
.0000000
.0000000
.0000000
*23
.24
.0065392
.0007964
.0000000
.0000000
.0000000
.0000000
.24
.25
.0048915
.0005644
.0000000
.0000000
.0000000
.0000000
.-25
.26
.0036370
.0003981
.0000000
.0000000
.0000000
.0000000
.26
.27
.0026879
.0002795
.0000000
.0000000
.0000000
.0000000
.27
.28
.0019744
.0001953
.0000000
.0000000
.0000000
.0000000
.28
.29
.0014416
.0001357
.0000000
.0000000
.0000000
.0000000
.29
• 50
.0010460
.0000939
.0000000
.0000000
.0000000
.0000000
.30
.31
.0007543
.0000646
.0000000
.0000000
.0000000
.0000000
-31
.52
.0005405
.0000442
.0000000
.0000000
.0000000
.0000000
.32
.33
.0003849
.0000301
.0000000
.0000000
.0000000
.0000000
.33
.3^
.0002723
.0000203
.0000000
.0000000
.0000000
.0000001
.34
.35
.0001913
.0000137
.0000000
.0000000
.0000000
.0000001
.35
• 36
.OOOI336
.0000091
.0000000
.0000000
.0000000
.0000002
.36
•37
.0000926
.0000061
.0000000
.0000000
.0000000
.0000004
.37
.38
.OOOO638
.0000040
.0000000
.0000000
.0000001
.0000005
.38
.39
.0000436
.0000026
.0000000
.0000000
.0000001
.0000010
.39
.40
.0000296
.0000017
.0000000
.0000000
.0000002
.0000016
.40
.41
.0000199
.0000011
.0000000
.0000000
.0000003
.0000027
.41
.42
.OOOOI33
.0000007
.0000000
.0000000
.0000006
•0000043
.42
•43
.0000089
.0000004
.0000000
.0000001
.0000008
.0000069
.*3
.44
.0000058
.0000003
.0000000
.0000001
.0000015
.0000108
.44
.45
.0000038
.0000002
.0000000
.0000002
.0000024
.0000169
.*5
.46
.0000025
.0000001
.0000000
.0000004
.0000037
.0000262
.46
.47
.0000015
.0000001
.0000000
.0000007
.0000058
.0000398
.47
.48
.0000010
.0000000
.0000001
.0000010
.0000092
.0000598
.48
.49
.0000006
.0000000
.0000001
.0000017
.0000142
.0000889
.49
.50
.0000004
.0000000
.0000002
.0000026
.0000218
.0001308
.50
60
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
| n=27 r-22
n=27 r-21
n-27 r=2Q
n*27 r»19
n-27 r-18
n=27 r-17
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
. 0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.2.7
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000002
.0000012
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000004
.0000024
.21
.22
.0000000
.0000000
.0000000
.0000001
.0000007
.0000047
.22
.23
.0000000
.0000000
.0000000
.0000002
.0000015
.0000087
*23
.24
.0000000
.0000000
.0000001
.0000004
.0000027
.0000158
.24
.25
.0000000
.0000000
.0000001
.0000008
.0000052
.0000276
.25
,26
.0000000
.0000000
.0000002
.0000016
.0000092
.0000471
,26
.27
.0000000
.0000001
.0000004
.0000028
.0000160
.0000781
.27
.28
.0000000
.0000001
.0000008
.0000050
.0000273
.0001262
.28
.29
.0000000
.0000002
.0000014
.0000088
.0000452
.0001993
.29
• 50
.0000000
.0000004
.0000026
.0000148
.0000733
.0003078
.30
.31
.0000001
.0000007
.0000044
.0000247
.0001162
.0004653
-31
.32
.0000002
.0000012
.0000075
.0000402
.0001804
.0006899
.32
.33
.0000003
.0000021
.0000126
.0000641
.0002747
.0010037
.33
.34
.0000005
.0000035
.0000206
.0001002
.0004106
.0014345
.34
.35
.0000009
.0000059
.0000332
.0001538
.0006030
.0020157
.35
.36
.0000015
.0000098
.0000522
.0002320
.0008709
.0027867
.36
.37
.0000025
.0000158
.0000809
.0003443
.0012376
.0037930
•37
.38
.0000042
.0000252
.0001233
.0005028
.0017318
.0050862
.38
.39
.0000068
.0000395
10001849
.0007231
.0023879
.0067228
•? 9
.40
.0000110
.0000608
.0002733
.0010250
.0032458
.0087636
.40
.41
.0000175
.0000922
.0003982
.0014324
.0043517
.0112719
.41
.42
.0000272
.0001381
.0005720
.0019748
.0057573
.0143110
.42
•if?
.0000420
.0002039
.0008108
.0026870
.0075194
.0179417
.43
.44
.0000637
.0002971
.0011345
.0036097
.0096989
.0222191
.44
.0000954
.0004275
.0015676
.0047896
.0123586
.0271889
.45
.46
.0001411
.0006076
10021396
.0062794
.0155619
.0328830
.46
.47
.0002064
.0008531
.0028861
.0081365
.0193697
.0393163.
.47
.48
.0002981
.0011841
.0038484
.0104226
.0238370
.0464821
.48
.49
.0004258
.0016250
.0050739
.0132024
.0290095
.0543484
.49
.50
.0006015
.0022054
.0066163
.0165409
.0349196
.0628552
.50
61
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
q
p
n=27 r-16
n =27 r-15
n =27 r=i 4
n =27 r=i 3
n*27 r-12
n =27
P
.01
.0000000
.0000000
.0000.000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000004
.0000029
.08
.09
.0000000
.0000000
.0000000
.0000002
.0000011
.0000091
.09
.10
.0000000
.0000000
.0000001
,0000004
.0000036
.0000242
.10
.11
.0000000
.0000000
.0000002
.0000013
.0000095
.0000577
.11
.12
.0000000
.0000001
.0000005
.0000035
.0000228
.0001253
.12
.13
.0000000
.0000002
.0000013
.0000086
.0000502
.0002517
.13
.14
.0000001
.0000004
.0000031
.0000193
.0001026
.0004727
.14
.15
.0000002
.0000010
.0000071
.0000401
.0001971
.0008373
.15
.16
.0000004
.0000025
.0000150
.0000786
.0003579
.0014093
.16
• !7
.0000008
.0000054
.0000299
.0001463
.0006190
.0022667
.17
.18
.0000018
.0000108
.0000570
.0002595
.0010248
.0035013
.18
.19
.0000037
.0000211
.0001035
.0004415
.0016310
.0052151
.19
.20
.0000073
.0000392
.0001806
.0007227
.0025053
.0075158
.20
.21
.0000140
.0000699
.0003038
.0011427
.0037255
.0105112
.21
.22
.0000255
.0001207
. 000^937
.0017503
.0053782
.0143011
.22
.23
.0000451
.0002014
.0007777
.0026040
.0075551
.0189699
*23
.24
.0000772
.0003259
.0011908
.0037707
.0103487
.O24578I
.24
.25
.0001282
.0005129
.0017752
.0053256
.0138467
.0311550
.25
.26
.0002071
.0007862
,0025819
.0073484
.0181260
.0386920
,26
.27
.0003263
.0011762
.0036693
.0099207
.0232463
.0471384
.27
.28
.0005017
.0017199
.0051030
.0131221
.0292436
.0563982
.28
.29
.0007541
.0024616
.0069538
.0170249
.0361242
.0663314
.29
• 30
.0011097
.0034526
.0092953
.0216892
.0438603
.0767556
.30
.31
.0016008
.0047508
.0122010
.0271571
.0523869
.0874524
.31
.32
.0022657
.0064195
.0157^02
.0334479
.0615999
.0981747
.32
.33
.0031496
.0085262
.0199738
.0405530
.0713568
.1086570
*33
.34
.0043038
.0111393
.0249500
.0484323
.0814802
.1186257
• 34
.35
.0057856
.0143260
.0306988
.0570119
.0917620
.1278115
• 35
.36
.0076565
.0181486
.0372279
.0661830
.1019708
.1359610
.36
•37
.0099812
.0226599
.0445190
.0758026
.1118601
.1428484
.37
.38
.0128249
.0278997
.0525239
.0856967
.1211783
.1482839
.38
.39
.0162506
.0338961
.0611627
.0956647
.1296788
.1521232
.39-
.40
.0203157
.0406313
.0703235
.105^852
.1371307
.1542721
.40
.41
.0250681
.0480981
.0798627
.1149245
.1433285
.1546900
.41
.42
.0305425
.0562369
.0896082
.1237448
.1481009
.1533902
.42
.0367558
.0649638
.0993632
.1317140
.1513180
.1504382
.43
.44
.0437037
.0741639
.1089121
.1386153
.1528970
.1459470
.44
.45
.0513567
.0836924
.1180278
.1442562
.1528047
.1400710
.45
.46
.0596574
.0933768
.126^802
. 1^84768
.1510590
.1329976
.46
.47
.0685185
.1030207
.1340450
.1511570
.1477266
.1249389
.47
.48
.0778223
.1124100
.1^05125
.1522218
.1429194
.1161221
.48
.49
.0874211
.1213192
.1456974
.1516441
.1367892
.1067793
.49
• 50
.0971399
.1295198
.1494460
.1494460
.1295198
.0971399
• 50
62
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=27 r =10
n=27 r= 9
n=27 r- 8
n =27 r= 7
n=27 r= 6
n-27 r - 5
P
.01
.0000000
.0000000
.0000000
.0000000
.0000002
.0000065
.01
.02
.0000000
.0000000
.0000000
.0000008
.0000124
.0001656
.02
.03
.0000000
.0000001
.0000008
.0000105
.0001139
.0010037
.03
.04
.0000000
.0000006
.0000067
.0000643
.0005145
•0033675
.04
.05
.0000004
.0000036
.0000327
.0002487
.0015752
.0081621
.05
.06
.0000018
.0000155
.0001151
.0007211
.0037652
.0160918
.06
.07
.0000069
.0000513
.0003223
.0017131
.0075864
.0274884
.07
.08
.0000220
.0001402
.0007640
.0035141
.0134707
.0422490
.08
.09
.0000592
.0003325
.0015926
.0064409
.0217086
.0598629
.09
.10
.0001406
.0007035
.0029990
.0107964
.0323891
.0795005
.10
.11
.0003018
.0013565
.0051990
.OI68258
.0453788
.1001333
.11
.12
.0005945
.0024222
.0084137
.0246803
.0603295
.1206591
.12
.15
.0010899
.0040525
.0128463
.0343888
.0767133
.1400152
.13
.14
.0018789
.0064122
.0186579
.0458451
.0938733
.1572682
.14
.15
.0030704
.0096658
.0259452
.0588092
.1110840
.1716752
.15
.16
.0047874
.0139632
.0347244
.0729211
.1276119
.1827171
.16
.17
.0071609
.0194234
.0449203
.0877268
.1427709
.1901068
.17
.18
.0103207
.0261205
.0563652
.1027099
.1559668
.1937770
.18
.19
.0143857
.0340715
.0688037
.1173285
.1667298
.1938534
.19
.20
.0194528
.0432283
.0819063
.1310501
.1747335
.1906183
.20
.21
.0255861
.0534737
.0952877
.1433852
.1798006
.1844707
.21
.22
.0328085
.0646228
.1085292
.1539141
.1818985
.1758853
.22
.23
.0410934
.0764297
.1212032
.1623069
.1811251
.1653751
*23
.24
.0503611
.0885981
.1328972
.OL683365
.177688
.1534583
.24
.25
.0604773
.1007956
.1432359
.1718830
.1718830
.1406316
.25
.26
.0712565
.1126703
.1518998
.1729321
.1640637
.1273502
,26
.27
.0824665
.1238694
.1586398
.1715660
.1546212
.1140136
.27
.28
.0938392
.1340559
.1632861
.1679515
.1439584
.1009578
.28
.29
.1050807
.1429259
.1657526
.1623232
.1324706
.0884522
.29
.50
.1158859
.1502224
.1660353
.1549663
.1205293
.0767005
• 30
.51
.1259513
.1557462
.1642079
.1461980
.1084694
.0658451
-31
.52
.1349903
.1593635
.1604120
.1363502
.0965814
.0559733
.32
.55
.1427454
.1610092
.1548462
.1257538
.0851062
.0471248
.33
.54
.1490003
.1606867
.1477521
.1147252
.0742339
.0393004
• 34
.55
.1535885
.1584643
.1394010
.1035550
.0641055
.0324690
• 35
.56
.1563997
.1544688
.1300790
.0925006
.0548152
.0265770
.36
.57
.1573830
.1488758
.1200748
.0817807
.0464160
.•0215544
•37
.58
.1565474
.1418998
.1096676
.0715726
.0389254
.0173209
.38
.59
.1539588
.1337819
.0991177
.0620121
.0323311
.0137916
•39
.40
.1497347
.1247789
.0886587
.0531952
.0265976
.0108809
.40
.41
.1440370
.1151315
.0784922
.0451809
.0216721
.0085055
.41
.42
.1370629
.1051541
.0687850
.0379956
.0174900
.0065871
.42
.1290353
.0950259
.0596675
.0516376
.0139794
.0050539
.43
.44
.1201917
.0849840
.0512344
.0260830
.0110655
.0038409
.44
.45
.1107751
.0752176
.0435471
.0212897
.0086735
.0028912
• 45
.46
.1010237
.0658851
.0366363
.0172031
.0067317
.0021552
. 46
.47
.0911632
.0571117
.0305065
.0137604
.0051723
.OOI5907
.47
.48
.0813992
.0489903
.0251398
.0108939
.0039339
.0011623
.48
.49
.0719126
.0415821
.0205008
.0085350
.0029611
.0008406
.49
.50
.0628552
.0349196
.0165409
.0066163
.0022054
.0006015
.50
63
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q „-r
p
n=27 r= 4
n=27 r= 3
n=27 r-- 2
n-27 r= 1
n=27 r* 0
n=28 r-27
p
.01
.0001393
.0022981
.0273015
.2079117
.7623427
.0000000
.01
.02
.0017644
.014^093
.0847264
,3193536
.5795675
.0000000
.02
.03
.0070552
.0380200
.1475173
,3669020
.4393765
.0000000
.03
.04
.0175693
.0702774
.2023988
.3736593
.3321416
.0000000
.04
.05
.0337132
.1067585
.243^094
.3557521
.2503441
.0000000
.05
.06
.0548053
.1431028
.2690332
.3242196
.1881274
.0000000
.06
.07
.0793921
.1757967
.2802702
.2864300
.1409417
.0000000
.°T
.08
.1056227
.2024434
.2793720
.2471367
.1052619
.0000000
.08
.09
.1315829
.2217414
.2690462
.2092582
.0783642
.0000000
.09
.10
.1555446
.2333169
.2519822
.1744492
.0581497
.0000000
.10
.11
.1761238
.2375003
.2305911
.1435148
.0430061
.0000000
.11
.12
.1923550
.2351006
.2068885
.1167064
.0316980
.0000000
.12
.13
.2037011
.2272051
.182^631
.0939307
.0232820
.0000000
.13
.14
.2100166
.'2150170
.1584983
.0748947
.0170396
.0000000
.14
.15
.2114840
.1997348
.1358197
.0592035
.0124254
.0000000
.15
.16
.2085358
.1824688
.1149554
.0464243
.0090269
.0000000
.16
.17
.2017757
.1641901
.0961960
.0361280
.0065329
.0000000
.17
.18
.1919048
.1457054
.0796524
.0279123
.0047095
.0000000
.18
.19
.1796582
.1276518
.0653040
.0214155
.0033814
.0000000
.19
.20
.1657551
.1105033
.0530416
.0163205
.0024179
.0000000
.20
.21
.1508612
.0945875
.0426995
.0123563
.0017216
.0000000
.21
.22
.1355638
.0801059
.0340814
.0092950
.0012205
.0000000
.22
.23
.1203580
.0671563
.0269794
.0069478
.0008615
.OOOOOOQ
*23
.24
.1056415
.0557553
.0211870
.0051609
.0006053
.0000000
.24
.25
.0917162
.0458581
.OI65089
.0038098
.0004233
.0000000
.25
.26
.0787952
,0373772
.0127658
.0027949
.0002946
.0000000
.26
.27
.0670128
.0301972
.0097972
.0020377
.0002040
.0000000
.27
.28
.0564361
.0241868
.0074634
.0014763
.0001406
.0000000
.28
.29
.0470773
.0192097
.0056437
.0010628
.0000964
.0000000
.29
• 30
.0389060
.0151302
.0042364
,0007604
.0000657
.0000000
.30
.31
.0318605
..0118193
.0031568
,0005405
.0000446
.0000000
.31
.32
.0258572
.-009r578
.0023352
.OOO3818
.0000300
.0000000
.32
.33
.0207996
.0070382
.0017148
.0002678
.0000201
.0000000
.33
.34
.0165845
,0053656
.0012499
.0001866
.0000134
.0000000
.34
.35
.0131086
.0040 57*1
.0009042
.0001292
.0000089
.0000000
.35
• 36
.0102714
.0030433
.0006493
.-0000888
.0000058
.0000000
.36
•37
.0079784
.0022642
.0004626
.0000606
.0000038
.0000000
.38
.OO61436
.0016706
.0003271
.0000410
.0000025
.0000000
.38
•39
.0046895
.0012224
.0002295
.0000276
.0000016
.0000000
.40
.0035481
.0008870
.0001597
.0000184
.0000010
.0000000
.40
.41
.0026608
.0006382
.0001102
.0000121
.0000007
.0000000
.41
.42
.0019775
.0004552
.0000754
.0000080
.0000004
.0000000
.42
• 43
.0014564
.0003217
.0000512
.0000052
.0000003
.0000000
.43
.44
.0010627
.0002254
.0000345
.0000033
.0000002
.0000000
.44
.45
.0007682
.0001565
.0000229
.0000022
.0000001
.0000000
.45
. 46
.0005500
.0001076
.0000152
.0000013
.0000001
.0000000
.46
.47
.0003900
.0000733
.0000099
.0000009
.00000:0.0
.0000000
.47
.48
,0002737
.0000494
.0000064
.0000006
.0000000
. 0000000
.48
.49
.0001901
.0000330
.0000042
.0000003
.0000000
.0000001
.49
.50
.0001308
.0000218
.0000026
.0000002
.0000000
.0000001
• 50
64
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
| n=28 r*26
n=28 r=25
n-28 r=24
n-28 r=23
n=28 r=22
n=28 r-21
p
.01
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.01
.02
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.02
.03
.0000000
,0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.03
.04
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.04
.05
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.05
.06
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.06
.07
.0000000
.0000000
.ooooooo
•OOOOOOO
.ooooooo
.ooooooo
.07
.08
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.08
.09
.0000000
.ooooOoo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.09
.10
.o'oooooo
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.10
.11
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.11
.12
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.12
.15
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.13
.14
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.14
.15
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
•OOOOOOO
.15
.16 ,
.0000000
.ooooooo
•OOOOOOO
.ooooooo
.ooooooo
.OOOOOOO
.16
.17
.0000000
.ooooooo
.OOOOOOO
.ooooooo
.ooooooo
•OOOOOOO
.17
.18
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.18
.19
.0000000
.OOOOOOO
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.19
.20
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.20
.21
.0000000
.ooooooo
.ooooooo
•OOOOOOO
.ooooooo
.ooooooo
.21
.22
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.22
.23
.0000000
.OOOOOOO
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.23
.24
.0000000
.oooOooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.24
.25
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.25
.26
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.0000001
,26
.27
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.0000002
.27
.28
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.0000003
.28
.29
.0000000
.ooooooo
.ooooooo
.ooooooo
.0000001
.0000005
.29
• 30
.0000000
.ooooooo
.ooooooo
.ooooooo
.0000002
.0000010
.30
.31
.0000000
.ooooooo
.ooooooo
.ooooooo
.0000003
.0000018
,31
.32
.0000000
.ooooooo
.ooooooo
.0000001
.0000004
.0000033
.32
.33
.0000000
.ooooooo
.ooooooo
.0000001
.0000009
.0000055
.33
.34
.0000000
.ooooooo
.ooooooo
.0000002
.0000016
.0000093
.34
.35
.0000000
.ooooooo
.ooooooo
.0000004
.0000027
.0000154
.35
• 36
.0000000
.ooooooo
.0000001
.0000006
.0000045
.0000251
,36
•37
.0000000
.ooooooo
.0000002
.0000011
.0000075
.0000399
•37
.38
.0000000
.ooooooo
.0000003
.0000019
.0000122
.0000625
.38
•39
.0000000
.ooooooo
.0000005
.0000032
.0000196
.0000962
•?9
.40
.0000000
.0000001
.0000007
.0000054
.0000309
.0001458
.40
.41
.0000000
.0000002
.0000012
.0000087
.0000482
.0002176
.41
.42
.0000000
.0000003
.0000021
.0000139
.0000738
.0003203
.42
•J3
.0000000
.0000005
.0000034
.0000220
.0001115
.0004649
.43
.44
.0000001
.0000007
.0000056
.0000341
.0001663
.0006656
.44
5
.0000001
.0000012
.0000089
.0000523
.0002448
.0009405
.45
• 45
.0000002
.0000019
.0000140
.0000791
.0003557
.0013123
.46
.47
.0000003
.0000031
.0000218
.0001181
.0005103
.0018087
.47
.48
.0000006
.0000049
.0000335
.0001742
.0007234
.0024629
.48
.49
.0000008
.0000078
.0000509
.0002540
.0010134
.0033149
.49
.50
.0000014
.0000122
.0000763
.0003661
.0014035
.0044109
.50
65
BINOMIAL DISTBIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=28 r=20
n=28 r =19
n=28 r=l8
n-28 r=17
n - 2 & r-l6
n=28 r=15
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.00000.00
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000600
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0600000
.0000000
.0000000
.09
.10
.0000000
. 0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000003
.0000020
.15
.15
.0000000
.0000000
.0000000
.0000001
.0000007
.0000045
.16
.17
.0000000
.000000,0
.0000000
.0000003
.0000015
.0000096
.17
.18
.0000000
. 0000000
.0000001
.0000005
.0000034
.0000192
.18
.19
.0000000
.0000000
.0000002
.0000011
.0000070
.0000368
.19
.20
.0000000
.0000001
.0000003
.0000024
.0000137
.0000675
.20
.21
.0000000
.0000001
.0000008
.0000048
.0000258
..0001190
.21
.22
.0000000
.0000003
.0000016
.0000092
.0000465
.0002027
.22
.23
.0000001
.0000005
.0000031
.0000171
.0000810
.0003339
.23
.24
.0000002
.0000009
.0000059
.0000305
.0001369
.0005335
.24
.25
.0000003
.0000019
.0000108
.0000528
.0002243
.0008285
.25
.26
.0000005
.0000036
.0000190
.0000887
.0003577
.0012531
,26
.27
.0000010
. 000006 ^
.0000328
.0001451
.0005558
.0018493
.27
.28
.0000020
.0000113
.0000549
.0002314
.0008427
.0026672
.28
.29
.0000036
.0000193
.0000899
.0003602
.0012493
.0037643
.29
.30
.0000062
.0000324
.0001436
.0005484
.0018126
.0052054
.30
.31
.0000108
.0000530
.0002244
.000817.4
.0025773
.0070603
.31
• 32
.0000180
.0000850
.0003435
.0011941
.0035950
.0094021
.32
.33
.0000297
.0001335
.0005153
.0017119
.0049238
.0123039
.33
.34
.0000477
.0002057
.0007588
.0024101
.0066279
.0158349
.34
.35
.0000754
.0003110
.0010975
.0033352
.0087747
.0200565
.35
• 36
.0001169
.0004620
.0015606
.0045398
.0114337
.0250171
.36
.37
.0001783
.0006748
.0021831
.0060826
.0146723
.0307478
•37
.38
.0002674
.0009699
.0030065
.0080268
.0185534
.0372569
.38
.39
.0003948
.0013724
.0040785
.0104386
.0231300
.0445265
.39
.40
.0005740
.0019133
.0054529
.0133845
.0284419
.0525082
.40
.41
.0008223
.0026293
.0071889
.0169284
.0345104
.0611216
.41
.42
.0011612
.0035635
.0093498
.0211282
.0413342
.0702529
.42
.43
.0016176
.0047649
.0120010
.0260318
.0488853
.0797555
.43
.44
.0022236
.0062889
.0152078
.0316723
.0571063
.08945^1
.44
.45
.0030175
.0081957
.0190322
.0380644
.0659078
.0991433
.45
.46
.0040439
.0105494
.0235295
.0451992
.0751683
.1086044
. 46
.47
.0053537
.0134161
.0287447
.0530413
.0847346
.1176021
.47
.48
.0070041
.01686]; 5
.0347066
.0615254
.0944244
.1258992
.48
.49
.0690569
.0209479
.0414255
.0705540
.1040313
.1332644
.49
.50
.011S786
.0257302
.0488874
.0799975
.1133299
.1394829
.50
66
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
,n> r n-r
l r )p q
p
n=28 r-l4
n=28 r=l3
n=28 r "12
n=28 rail
n=28 r"10
n=28 r= 9
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000006
.0000050
.05
.06
.0000000
.0000000
.0000000
.0000003
.0000026
.0000215
.06
.07
.0000000
.0000000
.0000001
.0000013
.0000100
.0000702
.07
.08
.0000000
.0000001
.0000005
.0000045
. 0000^514
.0001901
.08
.09
.0000000
.0000003
.0000019
.0000135
.0000838
.0004459
•09
.10
.0000001
.0000008
.0000056
.0000358
.0001970
.0009330
.10
.11
.0000003
.0000023
.0000148
.0000845
.0004178
.0017792
.11
.12
.0000009
.0000059
.0000351
.0001816
.0008138
.0031411
.12
.15
.0000022
.0000140
.0000764
.0003607
.0014751
.0051956
.13
.14
.0000054
.0000310
.0001544
.0006696
.0025135
.0081266
.14
.15
.0000120
.0000677
.0002931
.0011723
.0040596
.OI2IO78
.15
.16
.0000251
.0001234
.0005261
.0019498
.0062555
.0172850
.16
.17
.0000497
.0002266
.0008992
.0030987
.0092455
.0237579
.17
.18
.0000934
.0003973
.0014705
.0047288
.0131647
.0315645
.18
.19
.0001677
.0006675
.0023120
.0069575
.0181260
.0406707
.19
.20
.0002891
.0010792
.0035073
.0099033
.0242078
.0509640
.20
.21
.0004799
.0016851
.0051505
.0136770
.•0314425
.0622546
.21
.22
.0007701
.0025485
.0073412
.0183728
.0398076
.0742822
.22
.23
.0011978
.0037427
.0101806
.0240583
.•0492207
.0867276
*23
.24
.0018099
.•0053495
.0137638
.0307660
.0595579
,0992099
.24
.25
.0026628
.0074559
.0181737
.0384856
.0705569
,1114057
.25
.26
.0038212
.0101505
.0234732
.0471588
.0820241
.1228700
,26
.27
.0053572
.0135186
.0296972
.0566770
.0936452
.1332574
.27
.28
.0073484
.0176361
.0368469
.0668817
.1050998
.1422404
.28
.29
.0098745
.0225636
.0448843
.0775687
.1150558
.1495457
• 29
• 30
.0130135
.0283405
.0537289
.0884947
.1261858
.1549653
.30
.31
.0168374
.0349783
.0632572
.0993871
.1351877
.1583694
.31
.32
.0214066
.0424566
.0733038
.1099557
.1427897
.1596991
• 32
.33
.0267650
.0507182
.0836659
.1199062
:1487725
.1589754
.33
.34
.0329340
.0596686
.0941096
.1289531
.1529737
.1562889
.34
.35
.0399083
.0691745
.1043793
.1368335
.1552950
.1517922
• 35
• 36
.0476518
.0790665
.1142073
.1433190
.1557046
.1456884
.36
.37
.0560940
.0891439
.1233257
.1482252
.1542353
.1382195
.37
.38
.0651295
.0991798
.1314784
.1514240
.1509813
.1296516
.38
• 39
.0746184
.1089702
.1384322
.1528391
.1460897
.1202629
.39
.40
.0843881
.1181435
.1439873
.1524571
.1397524
.1103308
.40
.41
.0942781
.1265701
.1479867
.1503222
.1321940
.1001212
.41
.42
.1039455
.1339744
.1503224
.1465327
.1236612
.0898791
.42
•J3
.1132741
.1401437
.1509397
.1412349
.1144112
.0798218
.43
.44
.1219815
.1448992
.1498390
.1346147
.1047003
.0701342
.44
.45
.1298306
.1481030
.1470745
.1268879
.0947742
.0609659
.45
.46
.1365986
.1496646
.1427508
.1182896
.0848600
.0524306
.46
.47
.1420876
.1495447
.1370154
.1090643
.0751590
.0446073
.47
.48
.1461330
.1477566
.1300567
.0994551
.0658430
.0375420
.48
.49
.1486113
.1443652
.1220844
.0896946
.0570507
.0312522
.49
.50
.1494460
.1394829
.1133299
.0799975
.0488874
.0257302
.50
67
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=28 r= 8
n-28 r= 7
n-28 r= 6
n=28 r- 5
n=28 r- 4
n=28 r= 3
P
.01
.0000000
.0000000
.0000003
.0000078
.0001609
.0025481
.01
.02
.0000001
.0000009
.0000155
.0001975
.0020173
.0158156
.02
.03
.0000011
.0000136
.0001406
.OOII853
.0079841
.0413049
.03
.04
.0000090
.0000823
.0006286
.0039355
.0196777
.0755622
.04
.05
.0000436
.0003150
.0019045
.0094.397
.0373655
.1135910
.05
.06
.0001514
.0009039
.0045057
.0184146
.0601032
.1506586
.06
.07
.0004197
.0021242
.0089796
.0311217
.0861404
.1831098
.07
.08
.0009840
.0043105
.0157730
.0473189
.1133684
.2085977
.08
.09
.0020289
.0078151
.0251425
.0653177
.1396971
.2259988
.09
.10
.0037787
.0129557
.0371002
.0871050
.1633218
.2351834
.10
.11
.0064780
.0199666
.0514018
.1084922
.1828752
.2367403
.11
.12
.0103657
,0289582
.0675691
.1292626
.1974845
.2317151
.12
.15
.0156469
.0398909
.0849426
.1482944
.2067566
.2213886
.13
.14
.0224641
.0525690
.1027486
.1646530
.2107167
.2071044
.14
.15
.0308748
.0666504
.1201727
.1776465
.2097216
.1901476
.15
.16
.0408358
.0816717
.1364287
.1868481
.2043651
.1716667
.16
.17
.0521974
.0970842
.1508181
.1920905
.1953861
.1526311
.17
.18
.0647073
.1122961
.1627727
.1934400
.1835889
.1338159
.18
.19
.0780233
.1267147
.1718834
.1911563
.1697769
.1158058
.19
.20
.0917350
.1397868
.1779104
.1856457
.1547047
.0990111
.20
.21
.1053882
.1510325
.1807813
.1774127
.1390437
.0836910
.21
.22
.II85139
.1600707
.1805756
.1670146
.1233630
.0699805
.22
.23
.1306571
.1666351
.1775026
.1550211
.1081217
.0579156
.23
.24
.1414027
.1705809
.1718732
.1419822
.0936689
.0474589
.24
• 25
.1503976
.1718830
.1640702
.1284027
.0802517
.0385209
.25
.26
.1573681
.1706263
.1545182
.1147259
.0680266
.0309782
.26
.27
.1621299
.1669909
.1436571
.1013234
.0570726
.0246892
.27
.28
.1645924
.1612334
.1319183
.0884917
.0474063
.0195043
.28
.29
.1647580
.1536660
.1197053
.0764534
.0389957
.0152755
.29
• 30
.1627146
.1445352
.1073807
.0653621
.0317733
.0118620
.30
.31
.1586248
.1345021
.0952559
.0553099
.0256477
.0091339
.31
.32
.1527122
.1235242
.0835868
.0463361
.0205134
.0069746
.32
.33
.1452456
.1123401
.0725724
.0384375
.0162583
.0052815
• 33
.3^
.1365230
.1009581
.0623566
.0315769
.0127701
.0039662
.34
.35
.1268548
.0897477
.0530327
.0256929
.0099407
.0029538
.35
.36
.1165508
.0789339
.0446494
.0207070
.0076693
.0021814
.36
.37
.1059059
.0686958
.0372172
.0165313
.0058642
.0015975
•n
.38
.0951915
.0591666
.0307157
.0130735
.0044439
.0011601
.38
.39
.0845465
.0504366
.0251007
.0102417
.0033373
.0008352
.39
.40
.0744733
.0425552
.0203109
.0079477
.0024837
.0005961
.40
.41
.0648346
.0355423
.0162738
.0061091
.OOI8315
.0004217
.41
.42
.0558534
.0293833
.0129108
.0046511
.0013381
.0002956
.42
.43
.0476147
.0240446
.0101414
.0035059
.0009685
.0002055
.43
.44
.0401677
.0194753
.0078867
.0026185
.0006943
.0001414
.44
.45
.0335312
.0155125
.0060715
.0019358
.0004929
.0000964
.45
.46
.0276970
.0123863
.0046265
.0014168
.0003465
.0000651
. 46
.47
.0226358
.0097240
.0034890
.0010263
.0002411
.0000435
.47
.48
.0183*017
.0075531
.0026036
.0007358
.0001660
.0000288
.48
.49
.0146375
.0058038
.0019221
.0005219
.0001131
.0000189
.49
.50
.0115786
.0044109
.0014035
.OOO366I
.0000763
.0000122
.50
68
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=28 r= 2
n=28 r- 1
n-28 r- 0
n=29 r=28
n=29 r-27
n-29 r=26
p
.01
.0291077
.2134559
.75^7193
.0000000
.0000000
.0000000
.61
.02
.0894190
.3245578
•5679752
.0000000
.0000000
.0000000
.02
.03
.1340988
.3690763
.*1261952
.0000000
.0000000
.0000000
.03
.04
.2092492
.3719987
.3188559
.0000000
.0000000
.0000000
.04
.05
.2490265
.3504817
.2378269
.0000000
.0000000
.0000000
.05
.06
.2723444
.3160540
.1768398
.0000000
.0000000
.0000000
.06
.07
.2807014
.2762458
.1310758
.0000000
.0000000
.0000000
.07
.08
.2767931
.2357867
.0968410
.0000000
.0000000
.0000000
.08
.09
.2636654
.1974777
.0713114
.0000000
.0000000
.0000000
.09
.10
.2442289
.1628192
.0523348
.0000000
.0000000
.0000000
.10
.11
.2210127
.1324589
.038275^
.0000000
.00000^0
.0000000
.11
.12
.1960667
.1065053
.0278943
.0000000
.0000000
.0000000
.12
.15
.1709559
.0847464
.0202553
.0000000
.0000000
.0000000
.13
.14
.1467957
.0667951
.0146540
.0000000
.0000000
.0000000
.14
.15
.1243272
.0521868
.0105616
.0000000
.0000000
.0000600
.15
.16
.1039904
.0404407
.0075826
.0000000
.0000000
.0000000
.16
.17
.0859845
.0310968
.0054223
.0000000
.0000000
.0000000
.17
.18
.0703391
.0237358
.0038618
.0000000
.0000000
.0000000
.18
.19
.0569652
.0179890
.0027389
.0000000
.0000000
.0000000
.19
.20
.0456973
.0135400
.0019343
.0000000
.0000000
.0000000
.20
.21
.0363274
.0101230
.0013601
.0000000
.0000000
.0000000
.21
.22
.0286284
.0075186
.0009520
.0000000
.0000000
.0000000
.22
.25
.0223721
.0055480
.0006633
.0000000
.0000000
.0000000
.23
.24
.0173407
.0040676
.0004600
.0000000
.0006000
.0000000
.24
.23
.0133341
.0029631
.0003175
.0000000
.0000000
.0000000
.25
.26
.0101734
.0021448
.0002180
.0000000
.0000000
.0000000
.26
.27
.0077022
.0015426
.0001^89
.0000000
.0000000
.0000000
.27
.28
.0057870
.0011023
.0001012
.0000000
.0000000
.0000000
.28
.29
.0043153
.0007826
.0000684
.0000000
.0000000
.0000000
.29
• 50
.0031936
.0005520
.0000460
'. 0000000
.0000000
.0000000
.30
.51
.0023458
.0003868
.0000307
.0000000
.0000000
.0000000
.31
.52
.0017101
.0002692
. 000020^
.0000000
.0000000
.0000000
.32
.55
.0012372
.0001861
.0000135
.0000000
.0000000
.0000000
.33
.54
.0008884
.0001277
.0000089
.0000000
.0000000
.0000000
.34
.55
.0006330
.0000870
.0000058
.0000000
.0000000
.0000000
.35
• 56
.0004475
,0000590
.0000037
.0000000
.0000000
.0000000
.36
.37
.OOO3139
.0000396
.0000024
.0000000
.0000000
.0000000
•31
.58
.0002184
.0000264
.0000015
.0000000
.0000000
.0000000
.38
.59
.0001508
.0000174
.0000010
.0000000
.0000000
.0000000
.39
.40
.0001031
.0000115
.0000006
.0000000
.0000000
.0000000
.40
.41
.0000701
.0000074
.0000004
.0000000
.0000000
.0000001
.41
.42
.0000471
.0000049
.0000002
.0000000
.0000000
.0-000001
.42
.43
.0000314
.0000031
.0000001
.0000000
.0000000
.0000002
.43
.44
.0000208
.0000019
.0000001
.0000000
.0000000
.0000004
.44
.45
.0000136
.0000012
.0000001
.0000000
.0000001
.0000005
.45
.46
.0000088
.0000008
.0000000
.0000000
.0000001
.0000010
. 46
.47
.0000057
.0000005
.0000000
.0000000
.0000002
.0000016
.47
.48
.OOOOO36
.0000003
.0000000
.0000000
.0000003
.0 000025
.48
.49
.000002~2
.0000002
.0000000
.0000000
.0000005
.0 0000*13
.49
.50
.0000014
.0000001
.0000000
.0000001
.0000007
.0000068
. 50
69
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n=29 r=25
n=29 r=24
n=29 r=23
n=29 r=22
n=29 r=21
n=29 r=20
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.00000)00
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.•0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0060001
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.24
• 25
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.25
.26
.0000000
.0000000
.0000000
.0 000000
.0000002
.0000014
.26
.27
.0000000
.0000000
.0000000
.0-000001
.0000004
,0000025
.27
.28
.0000000
.0000000
.0000000
.OO’OOOOl
.0000008
.0000046
.28
.29
.0000000
.0000000
.0000000
.000 0002
.0000015
. 0000081
.29
• 30
.0000000
.0000000
.0000001
.0000004
.0000026
.0006140
.30
.31
.0000000
.0000000
.0000001
.0000008
.0000046
.0000238
.31
.32
.0000000
.0000000
.0000002
.0000014
.0000079
.0000395
.32
.33
.0000000
.0000000
.0000004
.0000024"
.0000135
.0000639
.33
.34
.0000000
.0000001
.0000007
.0000041
.0000224
.0001015
.34
.35
.0000000
.0000002
.0000011
.0000072
.0000364
.0001578
.35
• 36
.0000000
.0000003
.0000021
.0000118
.0000582
.0002412
.36
.37
.0000001
.0000005
.0000035
.0000194
.0000911
.0003621
•ll
.38
.0000001
.0000009
.0000059
.000.0312
.0001404
.0005344
.38
.39
.0000002
.0000016
.0000096
.0000494
.0002127
.0007761
.39
.40
.0000004
.0000026
.0000156
.0000768
.0003171
.0011097
.40
.41
.0000006
.0000043
.0.000249
.0001176
.0004655
.0015632
.41
.42
.0000010
.0000071
.0000391
.0001774
.0006734
.0021702
.42
.^3
.0000017
.0000114
.0000605
.0002635
.0009606
.0029709
.43
.44
.0000028
.0000182
.0000923
.0003860
.0013511
.0040123
.44
.45
.0000047
.0000284
.0001389
.0005579
.0018752
.0053477
.45
.46
.0000075
.0000439
.0002063
.0007957
.0025689
.0070354
. 46
.47
.0000119
.0000670
.0003025
.0011205
.0034748
.0091431
.47
.48
.0000187
.0001010
.0004378
.0015584
.0046427
.0117356
.48
.49
.0000289
.0001503
.0006261
.0021412
.0061285
.0148835
.49
.50
.0000443
.0002212
■0008847
.0029072
.0079948
.0186544
.50
70
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n=29 r=i9
n=29 r=i8
n=29 r=17
n=29 r=i6
n=29 r=15
n=29 r=lf
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0060000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000002
.0000015
.12
• 13
.0000000
.0000000
.0000000
.0000001
.0000005
.0000038
.13
.14
.0000000
.0000000
.0000000
.0000002
.0000015
.0000090
.14
.15
.0000000
.0000000
.0000001
.0000005
.0000035
.0000198
• 15
.16
.0000000
.0000000
.0000002
.0000013
.0000078
.0000409
.16
.17
.0000000
.0000001
.0000004
.0000030
.0000163
.0000798
.17
.18
.0000000
.0000002
.0000010
.0000063
.0000325
.0001481
.18
.19
.0000001
.0000003
.0000023
.0000126
.0000616
.0002627
.19
.20
.0000001
.0000008
.0000047
.0000244
.0001118
.0004471
.20
.21
.0000003
.0000016
.0000092
.0000454
.0001948
.0007330
.21
.22
.0000005
.0000033
.0000174
.0000809
.0003275
.0011614
.22
.23
.0000011
.0000063
.0000318
.0001392
.0005326
.0017832
.23
.24
.0000021
.0000118
.0000561
.0002320
.0008399
.0026594
.24
.25
.0000041
.0000213
.0000956
.0003754
.0012871
.0038611
.25
.26
.0000075
.0000372
.0001586
.0005905
.0019208
.0054658
.26
.27
.0000135
.0000631
.0002560
.0009050
.0027964
.0075608
.27
.28
.0000234
.0001044
.0004026
.0013536
.0039779
.0102289
.28
.29
.0000398
.0001683
.0006180
.0019786
.0055363
.0135543
.29
• 30
.0000658
.0002550
.0009277
.0028304
.0075478
.0176116
.30
.31
.0001062
.0004082
.0013629
.0039671
.0100912
.0224611
.31
.32
.0001677
.0006157
.0019624
.0054.532
.0132436
.0281425
.32
.33
.0002596
,ooo9ioi
.0027719
.0073592
.0170761
.0345695
.33
.34
.0003937
.0013202
.0038442
.0097583
.0216486
.0420237
.34
.35
.0005863
.0018807
.0052390
.0127234
.0270046
.0501515
.35
• 36
.0008574
.0026331
.0070216
.01632*37
.0331656
.05896II
.36
.37
.0012329
.0036259
.0092608
.0206202
•0401259
.0583224
.37
.38
.0017437
.0049143
.0120269
.0256607
.0478485
.0780686
.38
.39
.0024277
.0065590
.0153882
.0314745
.0562624
.0880000
.39
.40
.003^292
.0086255
.0194074
.0380685
.06S2601
.0978903
.40
. 41
.0044988
.0111821
.0241370
.0454210
.0746993
.1074942
.41
.42
.0059937
.0142968
.0296147
.0534800
.0844038
.1165577
.42
.0078765
.0180342
.0358588
.0621594
.0941585
.1248281
.43
.44
.0102132
.0224522
.0428633
.0713388
.1037656
.1320653
.44
.45
.0130721
.0275967
.0505939
.0808638
.1129526
.1380532
• 45
.46
.0165203
.0334977
.0589850
.0905488
.1214818
.1426090
. 46
.47
.0206205
.0401641
.0679372
.1001822
.1291103
.1455925
• 47
.48
.0254272
.0475795
.0773169
.1095323
.1356114
.1469124
.48
.49
.0309819
.0555985
.0869578
.1183555
.1407844
.1465307
.49
.50
.0373088
.0644424
.0966638
.1264064
.144464-4
.1444644
• 50
832939 0 - 50 -6
71
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=29 r=l3
n=29 r-12
n=29 r =11
n=29 r =10
n=29 r= 9
n=29 r = 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000001
.0000015
.03
.04
.0000000
.0000000
.0000000
.0000001
.0000012
.0000119
.04
.05
.0000000
.0000000
.0000001
.0000007
.0000070
.0000571
.05
.06
.0000000
.0060000
.0000005
.0000037
.0000293
.0001966
.06
.07
.0000000
.0000002
.0000019
.0000142
.0000947
.0005390
.07
.08
.0000001
.0000009
.0000066
.0000441
.0002536
.0012501
.08
.09
.0000004
.0000030
.0000199
.0001163
.0005884
.0025497
.09
.10
.0000012
.0000087
.0000519
.0002706
.0012176
.0046964
.10
.11
.0000036
.0000225
.0001211
.0005676
.0022961
.0079617
.11
.12
.0000094
.0000-526
.0002575
.0010931
.0040081
.0125968
.12
.13
.0000222
.0001133
.0005055
.0019588
.0065543
.0187986
.13
.14
.0000482
.0002265
.0009278
.0032993
.OIOI338
.0266788
.14
.15
.0000981
.0004249
.0016054
.0052659
.0149228
.0362412
.15
.16
.0001878
.0007539
.0026387
.0080202
.0210531
.0473696
.16
.17
.0003410
.0012731
.0041436
.0117127
.0285925
.0598282
.17
.18
.0005905
. 002CT570
.0062473
.0164766
.0375302
.0732733
.18
.19
.0009800
.0031946
.0090795
.0224095
.0477677
.0872747
.19
.20
.0015648
.0047866
.0127641
.0295591
.0591182
.1013454
.20
.21
.0024128
.0669411
.0174077
.0379131
.0713126
.1149735
.21
.22
.0036029
.0097681
.0230885
.0473920
.0840132
.1276564
.22
.23
.0052234
.0133724
.0298456
.0578474
.0968314
.1389320
.23
.24
.0073689
.0178443
.0376713
.0690640
.1093514
.1484054
.24
.25
.0101353
.0232517
.0465034
.0807691
.1211537
.1557690
.25
.26
.0136145
.0296314
.0562238
.0926440
.1318395
.1608157
.26
.27
.0178868
.O3698I8
.0666584
.1043405
.1410530
.1634423
.27
.28
.0230151
.0452567
.0775827
.115^992
.1484990
.1636519
.28
.29
.0290367
.0543627
.0887300
.1257679
.1539572
.1615413
.29
• 50
.0359571
.0641586
.0998023
.1348207
.1572908
.1572907
.30
.51
.0437448
.0744574
.1104853
.1423740
.1584486
.1511467
• 31
.52
.0523277
.6850324
.1204626
.1482007
.1574633
.1434-040
.32
.55
.0615910
.0956251
.1294321
.1521394
.1544446
.1343869
• 33
.54
.0713786
.1059564
.1371200
.1541009
.1495685
.1244310
.34
.55
.0814962
.1157382
.1432950
.1540691
.1430641
.1138673
• 35
• 56
.0917173
.1246875
.1477777
.1520988
.1351989
.1030087
.36
.57
.1017912
.1325389
.1504496
.1483094
.1262635
.0921382
.58
•1114533
.1390577
.1512558
.1428760
.1165567
.0815021
.38
.59
.1204360
.1440508
.1502069
.1360173
.1063725
.0713046
• 39
.40
.1284810
.1473752
.1473752
.1279838
.0959878
.0617065
.40
.41
.1353509
.1489443
.1428897
.1190441
.0856537
.0528247
.41
.42
.1408405
.1487307
.1369267
.1094727
.0755884
.0447359
.42
• 45
.1447859
.1467667
.1297007
.0995378
.0659727
.0374796
.43
1* li
.44
.1470727
.1431403
.1214524
.0894912
.0569490
.0310631
.44
.45
.1476402
.1379905
.1124367
.0795605
.0486203
.0254677
• 45
1 . S’
.46
.1464842
.1314986
.1029120
.0699425
.0410531
.0206541
. 46
.47
.1436564
.1238789
.0931289
.0607996
.0342807
.0165673
.47
1 . Cl
.48
.139260.6
.1153680
.0833212
.0522585
.0283067
.0131424
.48
.49
.1334476
.1062134
.0736991
.0444095
.0231110
.0103090
.49
• 50
.1264064
.0966638
.0644424
.0-373088
.0186544
.0079948
• 50
72
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=-29 r= 7
n=29 r= 6
n=29 r- 5
n=29 r- 4
n=29 r - 3
11=29 r= 2
P
.01
.0000000
.0000004
.0000093
.0001848
.0028137
.0309511
.01
.02
.0000013
.0000191
.000-2340
.0022932
.0172877
.0941218
.02
.03
.0000175
.0001718
.OOI3893
.0089838
.0446886
.1605482
.03
.04
.0001042
.0007608
.0045653
.0219130
.0809097
.2157592
.04
.05
.0003945
.0022813
.0108360
.0411767
.1203628
.2540993
• 05
.06
.0011200
.0053402
.0209159
.0655365
.1579598
.2749670
.06
.07
.0026041
.0105295
.0349730
.0929282
.1899413
.2803895
.07
.08
.0052276
.0182967
.0526029
.1209867
.2140533
.2735126
.08
.09
.0093745
.0288483
.0729218
.1474643
.2293888
.2577085
.09
.10
.0153701
.0421007
.0947267
.1705079
.2360880
.2360879
.10
.11
.0234245
.0576817
.1166744
.1888004
.2350102
.2112718
.11
.12
.0335915
.0749723
.1374492
.2015922
.2274373
.1853193
.12
.15
.0457476
.0931783
.1558945
.2086588
.2148321
.1597469
.13
.14
.0595942
.1114152
.1711020
.2102109
.1986609
.1355939
.14
.15
.0746787
.1287937
.1824578
.2067855
.1802746
.1135062
.15
.16
.0904328
.1444958
.1896508
.1991334
.1608384
.0938225
.16
.17
.1062190
.1578344
.1926507
.1881178
.1413012
.0766535
.17
.18
.1213819
.1682928
. 1916568
.1746297
.1223901
.0619505
.18
.19
.1352968
.1755452
.1870942
.1595224
.1046261
.0495597
.19
.20
.1474115
.1794575
.1794574
.1435660
. 0883.483
.0392659
.20
.21
.1572797
.1800739
.1693552
.1274197
.0737447
.0308245
.21
.22
.1645817
.1775922
.1574113
.1116188
.0608831
.0239842
.22
.23
.1691346
.1723318
.'1442343
.0965743
.0497406
.0185025
.23
.24
.1708911
.1646994
.1303870
.0825784
.0402305
.0141552
.24
.25
.1699298
.1551533
.1163650
.0698189
.0322242
.0107414
.25
.26
.1664382
.1441722
.•1025840
.0583940
.0255690
.0080859
.26
.27
.1606908
.1322271
.0893756
.0483291
.0201027
.0060391
.27
.28
.1530251
.1197589
.0769878
.0395937
.0156635
.0044752
.28
.29
.1438174
.1071623
.0655907
.0321168
.0120971
.0032907
.29
• 30
.1334589
.0947751
.0552855
.'0257999
.0092615
.0024011
.30
.31
.1223358
.0828726
.0461147
.0205284
.0070296
.0017385
• 31
.32
.1108122
. 0716666
.0380729
.0161810
.0052899
.0012490
.32
.33
.0992167
.0613079
.0311183
.OI2636O
.0039469
.0008903
.33
.3^
.0878336
.0518914
.0251826
.0097768
.0029198
.0006297
.34
.35
.0768975
.0434637
.0201796
.0074955
.0021415
.0004419
.35
• 36
.0665915
.0360301
.0160134
.0056937
.0015572
.0003076
.36
.37
.0570487
.0295634
^0125844
.0042856
.0011226
.0002124
•n
.38
.0483553
.0240117
.0097942
.0031960
.0008023
.0001454
.38
.39
.0405555
.0193058
.0075490
.0023615
.0005682
.0000988
.39
.40
.0336580
.0153657
.0057621
.0017286
.0003989
.0000665
.40
.41
.0276422
.0121063
.0043554
.0012534
.0002775
.0000444
.41
.42
.0224648
.0094417
.0032597
.0009003
.0001912
.0000294
.42
.0180662
.0072886
.0024154
.000640.4
70001306
.0000192
.43
.44
.0143763
.0055686
.0017719
.0004510
.0000883
.0000125
.44
.45
.0113190
.0042105
.0012865
.0003145
.0000591
.0000081
.45
. 46
.0088168
.0031500
.0009245
.0002170
.0000392
.0000052
. 46
.47
.0067935
.0023316
.0006572
.0001483
.0000257
.0000032
.47
.48
.0051773
.0017071
.0004623
.0001001
.0000167
.0000020
.48
.49
.0039017
.0012360
.0003216
.0000669
.0000108
.0000012
.49
.50
.0029072
.0008847
.0002212
.0000443
.0000068
.0000007
.50
73
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n=29 r= 1
n=29 r= 0
n=30 r=28
n=30 r=27
n=30 r=26
n=30 r=25
p
.01
.2188686
.7471721
.0000000
.0000000
.0000000
.0000000
.01
.02
.3294261
.5566167
.0000000
.0000000
.0000000
.0000000
.02
.03
.3707899
.4134093
.0000000
.0000000
.0000000
.6000000
.03
.04
.3698729
.3061017
.0000000
.0000000
.0000000
.0000000
.04
.05
.3448490
.2259355
.0000000
.0000000
.0000000
.0000000
.05
.06
.3077011
.1662294
*0000000
.0000000
.0000000
.0000000
.06
.07
.2660839
.1219005
.0000000
.0000000
.0000000
.0000000
.07
.08
.2246711
.0890937
.0000000
.0000000
.0000000
.0000000
.08
.09
.1861227
.0648934
.0000000
.0000000
.0000000
.0000000
.09
.10
.1517708
.0471013
.0000000
.0000000
.0000000
.0000000
.10
.11
.1220987
.0340651
.0000000
.0000000
.0000000
.0000000
.11
.12
.0970721
.0245469
.0000000
.0000000
.0000000
.0000000
.12
.13
.0763626
.0176221
.0000000
.0000000
.0000000
.0000000
.15
.14
.0594953
.0126025
.0000000
.0000000
.0000000
.0000000
.14
.15
.0459429
.0089774
.0000000
.0000000
.0000000
.0006000
.15
.16
.0351834
.0063694
.0000000
.0000000
.0000000
.0000000
.16
.17
.0267322
.0045005
.0000000
.0000000
.0000000
.0000000
.17
.18
.0201585
.0031667
.0000000
,0000000
.0000000
. 0000000
.18
.19
.0150915
.0022185
.0000000
.0000000
.0000000
.0000000
.19
.20
*0112189
.0015474
*0000000
.0000000
.0000000
.0000000
.20
.21
.0082828
.0010744
.0000000
.0000000
.0000000
.0000000
.21
.22
.0060739
.0007426
.0000000
.6000000
.0000000
.0000000
.22
.23
.0044245
.0005108
.0000000
.QOOOOOO
.0000000
.0000000
*23
.24
.0032018
.0003496
.0000000
.0000000
.0000000
.0000000
.24
.25
.0023017
.0002381
.0000000
.0000000
.0000000
.0000000
.25
.26
.0016439
.0001613
.0000000
.0000000
.0000000
.0000000
.26
.27
.0011663
.0001087
.0000000
.0000000
.0000000
.0000000
.27
.28
.0008220
.0000729
.0000000
.0000000
.0000000
.0000000
.28
.29
.0005755
.0000486
.0000000
.0000000
.0000000
.0000000
.29
.30
.0004002
.0000322
.0000000
.0000000
.0000000
.0060000
.30
.31
.0002764
.0000212
.0000000
.0000000
.0000000
.0000000
.51
.32
.OOOI896
.0000139
.0000000
.0600000
.0000000
.0000000
.32
.33
.0001292
.0000090
.0000000
.0000000
.0000000
.0000000
• 33
.3^
.0000874
.0000058
.0000000
.0600000
.0000000
.0000000
.34
• 35
.0000586
.0000038
.0000000
.0000000
.0000000
.0000001
.35
.36
.0000391
.0000024
.0000000
.0000000
.0000000
.0000001
.36
.37
.0000258
.0000015
.0000000
.0000000
.0000000
.0000003
.38
.0000169
.0000010
.0000000
.0000000
.0000001
.0000004
.38
.39
.0000110
.0000006
.0000000
.0000000
.0000001
.0000007
.40
.0000071
.0000004
.0000000
.0000000
.0000002
.0000012
.40
.41
.ooooo46
.0000002
.0000000
.60.00000
.0000003
.0000021
.41
.42
.0000029
.0000001
.0000000
.0000001
.0000005
.0000035
.42
.43
.0000018
.0000001
.0000000
.6000001
.0000009
.0000058
.43
.44
.0000012
.0000000
.0000000
.6000002
.0000014
.0000096
.44
.45
.0000007
.0000000
.0000000
.0006005
.0000024
.0000154
.45
. 46
.0000004
.0000000
.0000000
.00Q0006
.0000039
.Q000243
.46
.47
j, O
.0000003
.0000000
.0000001
.0000008
.0000065
.0000378
.47
1*0
. 48
.0000002
.0000000
.0000001
.0000015
.0000103
.0006582
. 4o
.49
.0000001
.0000000
.0000003
.0000025
.0000163
.0000884
.49
• 50
.0000001
.0000000
.0000004
.0000038
.0000255
.0001328
.50
74
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=30 r=24
n*30 r=23
n=30 r=22
n-30 r=21
n-30 r=20
n-30 r=19
p
.01
.0000000
.0000000
.0000000
.0000000
.0O00000
.0000000
.01
.02
.0000000
.0000000
,0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16 .
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
• 17 !
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.22
• 23
.24
.0000000
.'0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000001
.0000003
.0000008
.0000023
.0000045
*23
.24
.25
.'0000000
.0000000
.0000000
.0000003
.0000015
.0000084
.25
,26
.0000000
.0000000
.0000001
.0000005
.0000029
.0000153
,26
.27
.0000000
.0000000
.0000002
.0000009
.0000055
.0000269
.27
.28
.0000000
.0000000
.0000003
.0000019
.0000098
.0000462
.28
.29
.0000000
.0000001
.0000006
.0000033
.0000173
.0000771
.29
.30
.0000000
.0000002
.0000010
.0000061
.0000296
.0001255
.30
.31
.0000000
.0000003
.0000020
.0000106
.0000493
.0001998
.31
.32
.0000001
.0000006
.0000034
.0000181
.0000805
.0003111
.32
.33
.0000002
.0000010
.0000061
.0000301
.0001285
.0004742
.33
.34
.0000003
.0000019
.0000104
.0000492
.0002008
.0007088
.34
.35
.0000005
.0000032
.0000174
.0000789
.0003078
.0010394
.35
.36
.0000010
.0000055
.0000286
.0001240
.0004631
.0014967
.36
•37
.0000016
.0000094
.0000459
.0001914
.0006842
.0021183
•37
.38
.0000027
.0000155
.0000728
.0002901
.0009939
.0029485
.38
.39
.0000047
.0000252
.0001130
.0004324
.0014203
.0040389
.40
.0000078
.0000401
.0001730
.0006341
.0019975
.0054477
.40
.41
.0000128
.0000629
.0002603
.0009155
.0027668
.0072389
.41
.42
.0000205
.0000972
.0003857
.0013021
.0037761
.0094810
.42
.43
.0000326
.0001477
.0005633
.0018250
.0050803
.0122443
.43
.44
.0000508
.0002215
.0008107
.0025220
.0067407
.0155984
.44
.45
.0000781
.0003275
.0011507
.0034377
.0088237
.0196082
.45
.46
.0001186
.0004774
.0016114
.0046239
.0113990
.0243299
.46
.47
.0001777
.0006869
.0022271
.0061389
.0145374
.0298060
w47
.48
.0002627
.0009756
.0030389
.0080473
.0183075
.0360604
.48
.49
.0003835
.0013685
,0040950
.0104184
.0227717
.0430930
.49
.50
.0005530
.0018959
.0054510
.0133246
.0279816
.0508756
.50
75
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n=30 r=l8
n=30 r=17
n=30 r=l6
n=30 r=15
n=30 r=l4
n=30 r=13
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000003
.0000020
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000009
.0000057
.11
.12
.0000000
.0000000
.0000001
.0000003
.0000024
.0000146
.12
.15
.0000000
.0000000
.0000002
.0000009
.0000062
.0000340
.13
.14
.0000000
.0000001
.0000003
.0000026
.0000144
.0000732
.14
.15
.0000000
.0000002
.0000009
.0000060
.0000315
.0001471
.15
.16 ,
.0000001
.0000003
.0000024
.0000130
.0000644
.0002784
.16
.17
.0000001
.0000009
.0000052
.0000272
.0001242
.0004994
.17
.18
.0000004
.0000019
.0000110
.0000534
.0002277
.0008545
.18
.19
.0000007
.0000043
.0000219
.0000999
.0003989
.0014008
.19
.20
.0000015
.0000087
.0000419
.0001788
.0006707
.0022091
.20
.21
.0000033
.0000168
.0000767
.0003078
.0010858
.0033637
.21
.22
.0000064
.0000314
.0001351
.0005110
.0016985
.0049593
.22
.23
.0000122
.0000565
.0002297
.0008203
.0025743
.0070977
.23
.24
.0000224
.0000983
.0003779
.0012765
.0037898
.0098829
.24
.25
.0000399
.0001656
.0006033
.0019305
.0054297
.0134144
• 25
.26
.0000687
.0002710
.0009363
.0028428
.0075852
.0177788
,26
.27
.0001152
.0004312
.0014157
.0040828
.0103469
.0230424
.27
.28
.0001878
.0006689
.0020884
.0057282
.0138090
.0292428
.28
.29
.0002987
.0010126
.0030103
.0078616
.0180442
.0363812
.29
• 50
.0004638
.0014985
.0042456
.0105670
.0231152
.0444176
.30
.51
.0007042
.0021702
.0058655
.0139259
.0290590
.0532658
.31
.52
.0010466
.0030794
•0079462
.0180113
.0358818
.0627932
.32
.55
.0015245
.0042857
.0105658
.0228819
•0435536
.0728223
.33
.34
.0021783
.0058550
.0138010
.0285761
.0520044
.0831350
.34
.55
.0030561
.0078585
.0177218
.0351060
.0611222
.0934809
• 35
.56
.0042129
.0103704
.0223868
.0424519
.0707533
.1035866
.36
.37
.0057109
.0134638
.0278373
.0505586
.0807058
.1131679
•37
.38
.0076171
.0172078
.0340920
.0593322
.0907548
.1-219429
.38
.39
.0100024
.0216619
.0411418
.0686401
.1006500
.1296458
.39
.40
.0129383
.0268718
.0489451
.0783123
.1101265
.1360387
.40
.41
.0164936
.0328635
.0574251
.0881452
.1189155
.1409242
.41
.42
.0207302
.0396382
.0664680
.0979084
.1267565
.1-441544
.42
•J3
.0256988
.0471680
.0759234
.1073521
.1334099
.1456377
.43
.44
.0314330
.0553926
.0856066
.1162174
.1386686
.1453425
.44
.45
.0379454
•0642154
.0953038
.1242478
.1423673
.1432979
.45
.46
.0452219
.0735043
.1047780
.1312003
.1443916
.1395909
.46
.47
.0532175
.0830923
.1137785
.1368569
.1446825
.1343610
.47
.48
.0618535
.0927803
.1220503
.1410358
.1432396
.1277921
.48
.49
.0710156
.1023427
.1293*157
.1436001
.1401200
.1201028
.49
.50
.08055^1
.1115351
.1354354
.1444644
.1354354
.1115351
.50
76
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=30 r =12
n=30 r-11
n-30 r-10
n-30 r= 9
n=30 r- 8
n=30 r= 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000001
.0000016
.02
.03
.0000000
.0000000
.0000000
.0000002
.0000019
.0000221
.03
.04
.0000000
.0000000
.0000001
.0000016
.0000157
.0001304
.04
.05
.0000000
.0000001
.0000011
.0000095
.0000739
.0004889
.05
.06
.0000001
.0000006
.0000052
.0000394
.0002520
.0013732
.06
.07
.0000004
.0000027
.0000199
.0001257
.OOO6836
.OO3I589
.07
.08
.0000013
.0000096
.0000609
.0003334
.0015682
.0062732
.08
.09
.0000045
.0000285
.0001589
.0007649
.0031639
.0111272
.09
.10
.0000130
.0000738
.0003653
.0015654
.0057638
.0180432
.10
.11
.0000333
.0001703
.0007577
.0029193
.0096626
.0271928
.11
.12
.0000772
.0003578
.0014429
.OO50387
.0151162
.0385572
.12
.13
.0001643
.0006945
.0025562
.0081460
.0223020
.0519136
.13
.14
.0003247
.0012598
.0042562
.0124501
.0312869
.0668492
.14
.13
.0006020
.0021547
.0067152
.0181206
.0420068
.0827960
.15
.16
.0010555
.0034997
.0101055
.0252638
.0542596
.0990829
.16
.17
.0017611
.0054304
.0145822
.0339026
.0677146
.1149936
.17
.18
.0028112
.0080886
.0202663
.0439639
.0819328
.1298259
.18
.19
.0043127
.0116122
.0272276
.0552740
.0963989
.1429440
.19
.20
.0063821
.0161232
.0354708
.0675637
.1105586
.1538207
.20
.21
.0091391
.0217138
.0449270
.0804815
.1238577
.1620665
.21
.22
.0126986
.0284352
.0554487
.0936147
.1357799
.1674441
.22
.23
.0171613
.0362860
.0668137
.1065145
.1458786
.1698700
.23
.24
.0226028
.0452056
.0787329
.1187244
.1538019
.1694051
.24
• 25
.0290647
.0550698
.0908653
.1298074
.1593092
.1662357
.25
.26
.0365455
.0656930
.1028348
.1393733
.1622772
.1606490
,26
.27
.0449944
.0768326
.1142529
.1470981
.1626995
.1530055
.27
.28
.0543079
.0881994
.1247391
.1527418
.1606764
.1437106
.28
.29
.0643292
.0994710
.1339428
.1561566
.1564014
.1331874
.29
.30
.0748517
.1103078
.1415617
.1572908
.1501412
.1218537
.30
.31
.0856260
.1203708
.1473572
.1561850
.1422153
.1101022
.31
.32
.0963700
.1293388
.1511648
.1529643
.1329746
.0982856
.32
.33
.1067814
.1369255
.1529002
.1478255
.1227807
.0867068
• 33
.34
.1165521
.1428935
.1525599
.1410217
.1119879
.0756133
.34
.35
.1253831
.1470659
.1502173
.1328452
.1009279
.0651957
♦ 35
• 36
.1330000
.1493333
.1460148
.1236104
.0898985
.0555894
• 36
.37
.1391658
.1496578
.1401524
.1136371
.0791551
.0468792
.37
.38
.1^36930
.1480715
.1328747
.1032359
.0689063
.0391047
.38
.39
.1464517
.1446729
.1244558
.0926961
.0593125
.0322681
.39
.40
.1473752
.1396186
.1151854
.0822753
.0504871
.0263411
.40
.41
.1464619
.1331129
.1053541
.0721938
.0424999
.0212725
.41
.42
.1437730
.I25396I
.0952412
.0626303
.0353821
.0169951
.42
-*3
.1394283
.1167307
.0851048
.0537206
.0291318
.0134319
.43
.44
.1335976
.1073894
.0751727
.0455591
.0237209
.0105010
.44
.45
.1264913
.0976424
.0656374
.0382017
.0191008
.0081201
.45
.46
.1183487
.0877460
.0566534
.0316696
.0152089
.0062101
.45
.47
.1094264
.0779341
.0483358
.0259553
.0119736
.0046964
.47
.48
.0999856
.0684111
.0407617
.0210278
.0093191
.0035116
.48
.49
.0902814
.0593472
.0339732
.OI68380
.0071695
.0025955
.49
.50
.0805531
.0508756
.0279816
.0133246
.0054510
.0018959
*30
77
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n-30 r= 8
n=30 r= 5
n-30 r- 4
n=30 r- 3
n=30 r= 2
n=30 v - 1
p
.01
.0000005
.0000111
.0002110
.0030951
.0328303
.2241516
.01
.02
.0000234
.0002752
.0025932
.0188243
.0988279
.3339700
.02
.03
.0002084
.0016171
.0100549
.0481645
.1668554
.3720684
.03
.04
.0009130
.OO52592
.0242729
.0863037
.2219237
.3673221
.04
.05
.0027090
.0123530
.0451361
.1270496
.2586367
.3389033
.05
.06
.0062747
.0235932
.0710819
.1649802
.2769310
.2992129
.06
.07
.0122405
.0390299
.0997191
.1962727
.2793881
.2559910
.°7
.08
.0210411
.0580736
.1284321
.2188100
.2696053
.2138249
.08
.09
.0328148
.0796307
.1548375
.2319376
.2512657
.1752121
.09
.10
.0473633
.1023048
.1770659
,.2360880
.2276562
.1413038
.10
.11
.0641709
.1246082
.1938835
.2323990
.2014628
.1124149
.11
.12
.0824695
.1451464
.2046936
.2223831
.1747297
.0883690
.12
.13
.1013314
.1627539
.2094613
.2076710
.1489070
.0687262
.13
.14
.1197713
.1765772
.2085939
.1898316
.1249401
.0529303
.14
.15
.1368433
.1861070
.2028088
.1702593
.1033717
.0403981
.15
.16
.1517207
.1911680
.1930061
.1501159
.0844402
.0305732
.16
.17 1
.1637532
.1918801
.1801590
.1303m
.0681669
.0229528
.17
.18
.1725001
.1886001
.1652266
.1115110
.0544280
.0170999
.18
.19
.1777395
.1818555
.1490922
.0941634
.0430108
.0126456
.19
.20
.1794575
.1722791
.1325225
.0785318
.0336565
.0092846
.20
.21
.1778230
.1605488
.1161479
.0647314
.0260908
.0067690
.21
.22
.1731524
.1473369
.1004570
.0527653
.0200440
.0049010
.22
.23
.1658694
.1332725
.0858025
.0425558
.0152646
.0035244
.23
.24
.1564644
.1189130
.0724149
.0339725
.0115263
.0025173
.24
.25
.1454562
.1047285
.0604203
.0268534
.0086315
.OOI7858
.25
.26
.1333593
.0910947
.0498595
.0210234
.0064109
.0012584
.26
.27
.1206572
.0782931
.0407079
.0163056
.0047234
.0008807
• 27
.28
.1077829
.0665175
.0328933
.0125307
.0034524
.0006122
.28
.29
.0951065
.0558833
.0263111
.0095432
.0025033
.0004227
.29
.30
.0829282
.0464399
.0208383
.0072034
.0018009
.0002898
.30
.31
.0714777
.0381829
.0163438
.0053893
.0012853
.0001973
-31
.32
.0609167
.0310674
.0x26959
.0039968
.0009100
.0001334
.32
.33
.0513453
.0250192
..0097685
.0029383
.0006391
.0000895
.33
.3^
.0428104
.0199446
.0074454
.0021412
.0004453
.0000596
.34
.35
.0353143
.0157401
.0056214
.0015467
.0003077
.0000395
.35
• 36
.0288242
.0122983
.0042045
.0011074
.0002109
.0000259
.36
.37
.0232812
.0095138
.0031152
.0007858
.0001434
.0000168
•37
.38
,0186091
.0072869
.0022864
.0005526
.0000966
.0000109
.38
.39
.0147206
.0055259
..0016621
.OOO3851
.0000646
.0000069
•39
.40
.0115242
.0041487
.0011968
.0002659
.0000428
.0000044
.40
.41
.0089284
.0030836
.0008533
.0001819
.0000281
.0000028
.41
.42
.0068453
.0022687
.0006025
.0001232
.OOOOI83
.0000017
.42
.43
.0051931
.0016522
.0004211
.0000827
.0000118
.0000011
.43
.44
.0038981
.0011906
.0002915
.0000549
.0000075
.0000007
.44
.45
.0028947
.0008491
.0001996
.0000362
.0000047
.0000004
.45
.46
.0021263
.0005990
.0001353
.0000235
.0000030
.0000002
.46
.47
.0015447
.0004180
.0000907
.0000151
.0000019
.0000001
.47
.48
.0011096
.0002884
.0000601
.0000097
.0000011
.0000001
.48
.49
.0007879
.0001968
.0000394
.0000061
.0000007
.0000000
.49
.50
.0005530
.0001328
.0000255
. .OOOOO38
.0000004
.0000000
.50
78
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=30 r= 0
n*31 r=29
n-31 r=28
n=31 r-27
n-3l r-26
n=3l r-25
p
.01
.7397004
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.5454843
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.4010071
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.2938576
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.2146388
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.1562556
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.1133675
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0819662
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0590530
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0423912
.0000000
.0000000
.0000000
.0060000
.0000000
.10
.11
.0303180
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0216013
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0153313
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.OIO838I
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0076308
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0053503
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17 !
.0037354
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0025967
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0017970
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0012379
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0008488
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0005792
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0003933
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0002657
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0001786
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0001194
.0000000
.0000000
.0000000
.0000000
.0000000
,26
.27
.0000794
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000525
. .0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000345
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.0000225
.0000000
.0000000
.0000000
.0000000
.0000000
.30
• 31
.0000146
.,0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000094
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000061
.0000000
.0000000
.0000000
.0000000
.0000001
.33
.34
.OOOOO39
.0000000
.0000000
.0000000
.0000000
.0000001
.34
.35
.0000024
.0000000
.0000000
.0000000
.0000000
.0000003
.35
.3 6
.0000015
.0000000
.0000000
.0000000
.0000001
.0000004
.36
.37
.0000010
.0000000
.‘0000000
.0000000
.0000001
.0000008
• 37
.38
.0000006
.0000000
.0000000
.0000000
.0000002
.0000013
.38
.39
.0000004
.0000000
.0000000
.0000000
.0000004
.0000022
.39
.40
.0000002
.0000000
.0000000
.0000001
.0000006
.0000038
.40
.41
.0000001
.0000000
.0000000
.0000001
.0000011
.0000065
.41
.42
.0000001
.0000000
.0000000
.0000003
.0000018
.0000106
.42
.43
.0000000
.0000000
.0000000
.0000005
-0000030
.0000173
.43
.44
.0000000
.0000000
.0000001
.0000007
.0000050
.0000277
.44
.45
.0000000
.0000000
.0000002
.0000012
.0000082
.0000436
.45
.46
.0000000
.0000000
.0000003
.0000021
.0000133
.0000676
.46
.47
.0000000
.0000000
.0000005
.0000035
.0000212
.0001035
.47
.48
.0000000
.0000001
.0000607
.0000057
.0000333
.0001564
.48
.49
.0000000
.0000001
.0000013
.'0000092
.0000516
V0002331
.49
.50
.0000000
.0000002
.0000021
.0000147
.0000791
.0003429
.50
70
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n-31 r= 24
n=3l r-23
n-31 r-22
n-31 r=21
n-31 r=20
n=31 r=19
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.000000c
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.oooopoo
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.21
.22
.0000000
.0000000
.0000000
.0000001
.0000004
.0000022
.22
• 23
.0000000
.0000000
.0000000
.0000001
.0000009
.0000045
.23
.24
.0000000
.0000000
.0000000
.0000003
.0000017
.0000088
.24
.25
.0000000
.0000000
.0000001
.0000006
.0000032
.0000163
.25
.26
.0000000
.0000000
.0000002
.0000011
.0000062
.0000292
,26
.27
.0000000
.0000001
.0000003
.0000022
.0000113
.0000507
.27
.28
.0000000
.0000001
.0000007
.0000041
.0000200
.0000859
.28
.29
.0000000
.0000003
.0000013
.0000074
.0000347
*0001413
.29
• 30
.0000001
.0000004
.0000026
.0000131
.0000583
.0002271
.30
.31
.0000001
.0000008
.0000047
.0000226
.0000960
.0003561
,31
.32
.0000003
.0000015
.0000081
.0000380
.0001543
.0005465
.32
.33
.0000004
.0000027
.0000140
.0000626
.0002426
.0008208
.33
.34
.0000009
.0000047
.0000236
.0001008
.0003735
.0012084
.34
.35
.0000014
.0000082
.0000389
.0001591
.0005638
.0017452
.35
.36
.0000026
.0000138
.0000629
.0002461
.0008352
.0024745
.36
.37
.0000044
.0000230
.0000997
.0003738
.0012148
.0034476
.37
.38
.0000076
.0000373
.0001553
.0005576
.0017367
.0047225
.38
• 39
.0000127
.0000595
.0002376
.0008176
.0024416
.0063646
.39
.40
.0000208
.0000932
.0003574
.0011795
.0033776
.0084439
.40
.41
.0000333
,0001438
.0005290
.0016745
.0046003
.0110334
.41
.42
.0000527
.0002184
.0007706
.0023412
.0061721
.0142057
.42
.43
.0000821
.0003264
.0011058
.0032248
.0081608
.0180298
.43
.44
.0001260
.0004807
.0015637
.0043782
.0106381
.0225656
.44
.45
.0001904
.0006979
.0021799
.0058614
.0136767
.0278599
.45
.46
.0002837
.0009991
.0029971
.0077405
.0173472
.0339402
.46
.47
.0004170
.0014108
.0040657
.0100862
.0217136
.0408094
.47
.48
.0006049
4 OOI966O
.0054429
.0129722
.0268289
.0484411
.48
.49
.0008661
.0027044
.0071935
.0164715
.0327292
.0567751
.49
.50
.0012244
.0036735
.0093878
.0206531
.0394286
.0657144
.50
80
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
l?)p T c
n-r
p
n-31 r-18
n=31 r=17
n*31 r=l6
n=3l r =15
n-31 r=i4
n=31 r=13
P
.01
.0000000
.0000000
.0000000
. 0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.08
.09
.OCOOOOO
.0000000
.0000000
.0000000
.0000001
.0000010
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000004
.0000031
.10
.11
.0000000
.0000000
.0000000
.0000002
.0000014
.0000088
.11
.12
.0000000
.0000000
.0000001
.0000006
.0000039
.0000221
.12
.13
.0000000
.0000000
.0000003
.0000016
.0000098
.0000510
.13
.14
.0000000
.0000001
.0000007
.0000042
.0000227
.0001084
.14
.15
.0000000
.0000003
.0000017
.0000098
.0000489
.0002153
.15
.16
.0000001
.0000007
.0000041
.0000212
.0000987
.0004027
.16
.17
.0000003
.0000016
.0000090
.0006436
.0001880
.0007139'
.17
.18
.0000006
.0000036
.0000186
.0000847
.0003406
.0012067
.18
.19
.0000013
.0000077
.0000367
.0001567
.0005893
.0019540
.19
.20
.0000030
.0000153
.0000693
.0002772
.0009783
.0030438
.20
.21
.0000061
.0000294
.0001252
.0004712
.0015642
.0045765
.21
.22
.0000119
.0000542
.0002179
.0007722
.0024159
.0066619
.22
.23
.0000224
.0000964
.0003655
.0012237
.0036147
.0094123
.23
.24
.0000406
.0001654
.0005936
.0018797
.0052521
.0129357
.24
.25
.0000713
.0002750
.0009351
.0028053
.0074259
.0173270
.25
.26
.0001213
.0004439
.0014321
•0040757
.0102356
.0226582
,26
.27
.0002005
.0006971
.0021358
.0057746
.0137761
.0289695
.27
.28
.0003225
.0010663
.0031076
.0079908
.0181305
.0362610
.28
.29
.0005057
.0015920
.0044172
.0108145
.0233619
.0444861
.29
• 30
.0007742
.0023226
.0061420
.0143315
.0295059
.0535478
.30
.31
.0011587
.0033157
.0083643
.0186171
.0365631
.0632975
-31
.32
.0016971
.0046368
.0111670
.0237298
.0444935
.0735378
.32
.33
.0024357
.0063581
.0146301
.0297036
.0532123
.0840288
.33
• 3^
.0034284
.0085566
.0188246
.0365417
.0625888
.0944968
• 34
.35
.0047370
.0113106
.0238063
.0442117
.0724477
.1046467
.35
• 36
.0064296
.0146963
.0296103
.0526404
.0825733
.1141754
.36
.37
.0085794
.0187820
.0362442
.0617131
.0927167
.1227871
•n
.38
.0112615
.0236238
.0436833
.0712728
.1026063
.1302080
.38
.39
.0145496
.0292591
.0518662
.0811239
.1119584
.1362001
.40
.0185117
.0357012
.0606919
.0910380
.1204914
.1405733
.40
.41
.0232052
.0429338
.0700203
,1007611
.1279390
.1431947
.41
.42
.0286716
.0509066
.0796730
.1100246
.1340636
.1439943
.42
.43
.0349305
.0595329
.0894377
.1185570
.1386678
.1429677
.43
.44
.0419753
.0686867
.0990754
.1260959
.1416051
.1401747
.44
.45
.0497670
.0782051
.1083286
.1324016
.1427861
• 13573.49
.45
.46
.0582318
.0878902
.1169323
.1372682
.1421833
.1298195
.46
.47
.0672587
.0975148
.1246253
.1405350
.1398314
.1226417
.47
.48
.0766984
.1068298
.1311634
.1420936
.1358248
.1144450
.48
.49
.0863659
.1155741
.1363303
.1418949
.1303116
.10549 03
.49
.50
.0960440
.1234853
.1399499
.1399499
.1234853
.0960440
.50
81
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
n=31 r=12
n=31 r=ll
n»31 r-10
n=31 r= 9
n=31 v= 8
n=3l r- 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000001
.0000021
.02
.03
.0000000-
.0000000
.0000000
.0000002
.0000026
.0000277
.03
.04
.0000000
.0000000
.0000002
,0000022
.0000202
.0001617
.04
.05
.0000000
.0000002
.0000014
.0000128
.0000947
.0005998
.05
.06
.0000001
.0000009
.0000073
.0000521
.0003193
.0016673
.06
.07
.0000005
.0000039
.0000273
.0001648
.OO.O8568
.0037946
.07
.08
.0000020
.0000137
.0000827
.0004321
.0019447
.0074546
.08
.09
.0000066
.0000403
.0002134
.0009809
.0038806
.0130790
.09
.10
.0000191
.0001029
.0004853
.0019853
.0069917
.0209752
.10
.11
.0000483
.0002349
.0009955
.0036611
.0115909
.0312604
.11
.12
.0001109
.0004879
.0018744
.0062481
.0179290
.0438267
.12
.13
.0002332
.0009365
.0032828
.0099864
.0261515
.0583379
.13
.14
.000*1556
.0016792
.0054034
.0150873
.0362656
.0742582
.14
.13
.0008349
.0028388
.0084260
.0217035
.0481252
.0909031
.15
.16
.0014^65
.0045567
.0125308
.0299031
.0614314
.1075049
.16
.17
.0023848
.0069863
.0178666
.0396507
.0757520
.1232828
.17
.18
.0037612
.0102805
.0245319
.0507983
.0905536
.1375072
.18
.19
.0056996
.0145792
.0325564
.0630877
.1052425
.1495551
.19
.20
.0083302
.0199927
.0418895
.0761626
.1192110
.1589481
.20
.21
.0117798
.0265886
.0523934
.0895905
.1318816
.1653754
.21
.22
.0161606
.0343782
.0638452
.IO289II
.1*127460
.1686999
.22
.23
.0215600
.0433074
.0759448
.1155683
.1513966
.1689499
.23
.24
.028027*]
.0532522
.0883309
.1271429
.1575^68
.1662993
.24
.25
.0355659
.0640187
.1006008
.1371829
.1610409
.1610408
.25
.26
.0*141238
.0753499
.1123348
.1453283
.1618539
.1535536
,26
.27
.0535907
.0869361
.1231211
.1513105
.1600821
.14*] 2715
.27
.28
.0637976
.0984305
.1325798
.1549635
.1559260
.1336508
.28
.29
.0745204
.1094678
.1403848
.1562276
.1496693
.1221440
.29
• 30
.085*1885
.1196840
.1462804
.1551460
.1416549
.1101761
.30
.31
.0963969
.1287365
.1500938
.1518544
.1322603
.0981286
• 31
.32
.1069201
.1363231
.1517406
.1465676
.1218741
.0863276
• 32
.33
.1167289
.1421972
.1512255
.1395607
.IIO8763
.0750376
.33
.34
.1255082
.1461801
.1486369
.1311502
.0996205
.0644603
.34
.35
.1329720
.1481689
.1441371
.1216742
.088*]2l6
.0547372
.35
.36
.1388800
.1481386
.1379493
.1114741
.0775472
.0459539
.36
•37
.1430479
.1461408
.1303417
.1008788
.0672130
.6381479
•37
.38
.1453568
.1422967
.1216119
.0901907
.0575817
.0313164
.38
.39
.1457579
.1367883
.1120695
.0796764
.0*]87652
.025*]246
•39
.40
.1442726
.1298453
.1020213
.0695600
.0408287
.0204144
.40
.41
.1409888
.1217318
.0917584
.0600193
.0337967
.0162114
.41
.42
.1360547
.1127310
.0815447
.0511860
.0276596
.0127321
.42
.43
.1296683
.1031315
.0716097
.0431474
.0223808
.0098892
.43
.44
.1220660
.0932141
.0621427
.0359503
.01790*]2
.0075956
.44
.45
.1135093
.0832401
.0532913
,0296063
.0141596
.0057687
.45
. 46
.10*] 2715
.0734434
.0451608
.0240977
.0110695
.0043315
.46
.47
.0946250
.0640229
.0378170
.0193839
.0085533
.0032151
.47
.48
.0848298
.0551394
.0312894
.0154077
.0065315
.0023586
.48
.49
.0751236
.0469139
.0255770
.0121004
.0049283
.0017097
.49
.50
.0657144
.0394286
.0206531
.0093878
.0036735
.001224*]
.50
82
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-31 r* 6
n=31 r= 5
n=31 r= 4
n=3l r= 3
n=3± r- 2
n=31 r- 1
p
.01
.0000006
.0000131
.0002398
.0033925
.0347435
.22930 a
.01
.02
.0000284
.0003216
.0029178
.0204244
.1035307
.3382003
.02
.03
.0002506
.0018702
.0111983
.0517252
.1730118
.3729365
.03
.04
.0010869
.0060197
.0267541
.0917285
.2277397
.3643835
.04
.05
.0031912
.0139922
.0492317
.1336290
.2626501
.3326901
.05
.06
.0073138
.026*1425
.0767158
.1716972
.2782680
.2906354
.06
.07
.0141158
.0432781
.1064779
.2020907
•■2777503
..2460075
.07
.08
.0240037
.0637023
.1356623
.2228737
.2651428
.2032762
.08
.09
.0370283
.0863993
.1617765
.2336771
.2444209
.1647578
.09
.10
.0528575
.1097809
.1829681
.2352448
.2190210
.1314126
.10
.11
.0708190
.1322285
.1981202
.2289960
.1916675
.1033843
.11
.12
.0899908
.1522920
.2068164
.2166647
.1643664
.0803568
.12
.13
.1093163
.1688258
.2092286
.2000317
.138*1835
.0617849
.13
.14
.1277242
.1810595
.2059672
.1807468
.1148587
.0470374
.14
.15
.1442328
.1886123
.1979264
.1602261
.0939257
.0354831
.15
.16
.1580322
.1914621
.1861438
.1396078
.0758214
.0265375
.16
.17
.1685347
.1898876
.1716848
.1197465
.0604806
.0196858
.17
.18
.1753981
.1843929
.1555578
.1012360
.0477090
.0144893
.18
.19
.1785215
.1756305
.1386557
.0844445
.0372413
.0105844
.19
.20
.1780218
.1643278
.1217244
.0695567
.0287821
.0076752
.20
.21
.1741954
.15122*15
.1053505
.0566169
.0220332
.0055257
.21
.22
.1674730
.1370233
.08996*19
.04-55666
-.0167125
.0039502
.22
.23
.1583721
.1223544
.0758558
.0362788
.0125643
.0028043
.23
.24
.1474520
.1077535
.0631887
.0285854
.0093642
.0019769
.24
.23
.1352742
.0936515
.0520285
.0222980
.0069201
.0013840
.25
.26
.1223705
.0803735
.0423622
.0172241
.0050713
.0009623
,26
.27
.1092188
.0681451
.0341193
.0131784
.0036859
.0006644
.27
.28
.0962286
.0571027
.0271918
.0099888
.0026571
.0004555
.28
.29
.0837317
.0473074
.0214484
.OO750I7
.0018999
.0003101
.29
• 30
.0719817
.0387594
.0167478
.0055827
.0013475
.0002096
• 30
• 3 1
.0611563
.0314128
.0129479
.0041171
.0009479
.0001407
.31
.32
.0513648
.0251886
.0099121
.0030091
.0006615
.0000937
• 32
.33
.0*126576
.0199865
.0075146
.0021795
.0004578
.0000619
.33
.34
.0350361
.0156949
.0056419
.0015646
.0003142
.0000*107
.34
.35
.0284633
.0121986
.00*11953
.0011130
.0002138
.0000265
.35
.36
.0228749
.0093845
.0030896
.0007846
.0001443
.0000171
.36
•37
.0181873
.0071463
.0022534
.0005481
.0000965
.0000110
•37
.38
.01*13066
.0053867
.0016276
.0003793
.0000641
.0000069
.38
.39
.0111347
.0040190
.00116*11
.0002601
.0000421
.0000044
•39
.40
.0085740
.0029679
..0008244
.0001767
.0000274
.0000028
.40
.41
.0065320
.0021691
.0005781
.0001188
.0000177
.0000017
.41
.42
.0049231
.0015689
.0004013
.0000791
.0000113
.0000011
.42
.43
.0036705
.0011229
.0002756
.0000522
.0000071
.0000007
.43
.44
.0027069
.0007950
.0001873
.00003^1
.0000045
.0000004
.44
.45
.0019741
.0005568
.0001261
.00002 20
.0000028
.0000002
.45
.46
.0014237
.0003857
.0000839
.0000141
.0000017
.0000001
.46
.47
.0010152
.00026*11
.0000552
.0000089
.0000010
.0000001
.47
.48
.0007154
.0001789
.0000359
.0000055
.0000007
.0000000
.48
.49
.0004983
.0001197
.0000231
.0000034
.0000004
.0000000
.49
.50
.0003429
.0000791
.0000147
.0000021
.0000002
.0000000
.50
85
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P Q
p
n=31 r= 0
n=32 r=30
n=*32 r=29
n»32 r=28
11=32 r=27
n=32 r=26
p
.01
,7323034
.0000000
.0000000
.0000000
.0000000
.0000000
.61
.02
.5345746
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.3889769
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.2821033
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.2039068
.0000000
.0000000
.0000000
.0000000
.6000000
.05
.06
.1468803
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.1054317
.0000000
.0000000
.0000000
.0000000
.6000000
.07
.08
.0754089
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0537382
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0581520
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0269830
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0190092
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0133382
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0093208
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0064861
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0044943
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0031004
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0021293
.0000000
.0000000
.0000000
.000000Q
.0000000
.18
.19
.0014556
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0009904
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0006706
.0000000
.0000000
.0000000
. 000000.0
.0000000
.21
.22
.0004518
.0000000
.0000000
.0000000
.0000060
.0000000
.22
.23
.0003028
.0000000
.0000000
.0000000
.0006000
.0000000
.23
.24
.0002019
.0000000
.0000000
.0000000
.0006000
.0000000
.24
.25
.0001339
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.OOOO883
.0000000
.0000000
.0000000
.0000000
.0000000
,26
.27
.0000579
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.OOOO378
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000245
.0000000
.0000000
.0000000
.0060000
.0000000
.29
.30
.0000158
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.51
.0000101
.0O00000
.0000000
.0000000
.0000000
.0000000
.31
.52
.0000064
.0000000
.0000000
.0000000
.0000006
.0000000
.32
.55
.0000041
.0000000
.0000000
.0000000
.0000000
.0000000
.33
• 34
.0000025
.0000000
.0000000
.0000000
.0000000
.0000001
.34
.55
.0000016
.0000000
.0000000
.0000000
.0000006
.0000001
.35
.56
.0000010
.0000000
.0000000
.0000000
.0660000
.0000002
.36
.37
.0000006
.0000000
.0000000
.0000000
.0000000
.0000004
.37
.38
.0000004
.0000000
.0000000
.0000000
.0000001
.0000006
.38
.39
.0000002
.0000000
.0000000
.0000000
.0000002
.0000011
.39
.40
.0000001
.0000000
.0000000
.0000000
.0000003
.0000019
.40
.41
.0000001
.0000000
.0000000
.0000001
.0000005
.0000032
.41
.42
.0000000
.0000000
.0000000
.0000001
.0000009
.0000055
.42
.43
.0000000
.0000000
.0000000
.0000002
.0000016
.0000091
.43
.44
.0000000
.0000000
.0000000
.0000004
.0000026
.0000150
.44
.45
.0000000
.0000000
.0000001
.0000006
.0000044
.0000242
.45
.46
.0000000
.0000000
.0000001
.0000011
.0000073
.0000383
. 46
.47
.0000000
.0000000
.0000003
.0000018
.0000118
.0000599
.47
.48
.0000000
.0000000
.0000004
.0000032
. 0000189
.0000924
.48
.49
.0000000
.0000001
.0000007
.0000051
.0000300
.0001405
.49
.50
.0000000
.0000001
.0000012
.0000084
.0000468
.0002110
.50
84
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n=32 r-25
n=32 r=24
n-32 r-23
n=32 r=22
n=32 r=21
n=32 r=20
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
,0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.00000Q0
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
,0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.poooooo
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000003
.0000017
.23
.24
.0000000
.0000000
.0000000
.0000001
.0000006
.0000034
.24
.25
.0000000
.0000000
.0000000
.0000002
.0000013
.0000065
.25
.26
.0000000
.0000000
.0000001
.0000004
.0000024
.0000122
,26
.27
.0000000
.0000000
.0000002
.0000008
.0000046
.0000220
.27
.28
.0000000
.0000000
.0000003
.0000017
.0000085
.0000385
.28
.29
.0000000
.0000001
.0000006
.0000031
.0000153
.0000656
.29
• 30
.0000000
.0000002
.0000011
.0000057
.0000267
.0001069
.30
.31
.0000001
.0000003
.0000020
.0000102
.0000453
.'0001767
.31
.32
.0000001
.0000006
.0000037
.0000177
.0000752
.0002798
.32
.33
.0000002
.0000012
.0000064
.0000301
.0001220
.0004334
.33
.34
.0000003
.0000022
.0000111
.0000499
.0001935
.0006574
.34
.35
.0000007
.0000038
.0000190
.0000809
.0003007
.0009773
.35
• 36
.0000012
.0000067
.0000315
.0001288
.0004582
.0014253
.36
.37
.0000021
.0000113
.0000514
.0002011
.0006850
.0020409
.37
.38
.0000037
.0000189
.0000821
.0003082
.0010056
.0028713
.38
.39
.0000063
.0000309
.0001289
.0004639
.0014509
.0039716
.39
.40
.0000106
.0000498
.0001989
.0006862
.0020587
.0054041
.40
.41
.0000175
.0000787
.0003017
.0009986
.0028741
.0072379
.41
.42
.0000284
.0001223
.0004503
.0014302
.0039501
.0095463
,42
•4?
.0000452
.0001872
.0006615
.0020170
.0053473
.0124044
.43
.44
.0000709
.0002821
.0009572
.0028021
.0071326
.0158862
.44
.45
.0001096
..0004187
.0013648
.0038366
.0093783
.0200592
.45
. 46
.0001670
.0006128
.0019182
.0051790
.0121596
.0249800
.46
.47
.0002509
.0008841
.0026586
.0068953
.0155511
.0306887
i47
.48
.0003716
.0012583
.0036349
.0090569
.0196235
.0372027
.48
.49
.0005433
.0017669
.0049040
.0117397
.0244378
.0445117
.49
.50
.0007837
.0024490
.0065306
.0150204
.0300409
.0525715
• 50
85
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
qD -r
p
n=32 r=19
n=32 r=!l 8
n=32 r=l7
n=32 r=l6
n=32 r=l 5
n=32 r*14
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0600000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0600000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.08
.09
.0000000
.0000000
.0000000
.0000000
.0060000
.0000002
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000004
,0000022
.11
.12
.0000000
.0000000
.0000000
.0000002
.0060010
.0000060
.12
• 13
.0000000
.0000000
.0000001
.0000004
.0000027
.0000151
.13
.14
.0000000
.0000000
.0000002
.0000012
.0000068
.0000346
.14
.13
.0000000
.0000001
.0000005
.0000029
.0000156
.0000739
.15
.16
.0000000
.0000002
.0060012
.0000069
.0000336
.0001473
.16
.17
.0000001
.0000005
.0000028
.0000149
.0000682
.6002774
.17
.18
.0000002
.0000012
.0000063
.0000305
.0001307
.0004965
.18
.19
.0000004
.0000026
.0060131
.0000596
.0002388
.0008486
.19
.20
.0000010
.0000054
.0000261
.0001109
.0004174
.0013915
.20
.21
.0000022
.0000110
.0000495
.0001979
.0007007
.0021968
.21
.22
.0000044
.0000212
.0000902
.0003398
.0011338
.0033500
.22
.23
.0000087
.0000394
.0001582
.0005629
.0017737
.0049481
*23
.24
.0000164
.0000706
.0002681
.0009023
.0026891
.0070962
.24
.25
.0000300
.0001222
.0004401
.0014027
.0039604
.0099012
.25
.26
.0000531
.0002052
.0007009
.0021194
.0056773
.0134654
.26
.27
.0000912
.0003345
.0010855
.0031183
.0079351
.0178783
.27
.28
.0001521
.0005308
.0016378
.0044749
.0108300
.0232070
.28
.29
.0002470
.0008207
.0024113
.0062724
.0144532
.0294880
.29
• 30
.0003912
.0012388
.0034684
.0085989
.0188838
.0367184
.30
.31
.0006049
.0018274
.0048807
.0115427
.0241804
.0448507
-31
.32
.0009147
.0026378
.0067264
.0151871
.0303742
.0537877
.32
.33
.0013537
.0037301
.0096879
.0196043
.037^615
.0633817
.33
.34
.0019632
.0051720
.0120477
.0248484
.0453977
.0734375
.34
.35
.0027923
.0070378
.0156841
.0309482
.0540943
.0837173
• 35
.36
.0038984
...0094056
.0200653
.0379011
.0634163
.0939500
.36
.37
.0053463
.0123544
.0252430
.0456677
.0731845
.1038428
•37
.38
.0072074
.0159592
.0312464
.0541673
.0831795
.1130949
.38
.39
.0095568
.0202863
.0380758
.0632767
.0931494
.1214126
•39
.40
.0124711
.0253875
.0456975
.0728303
.1028193
.1285242
.40
.41
.0160238
.0312940
.0540392
.0826241
.1119040
.1341938
.41
.42
.0202813
.0380104
.0629885
.0924207
.1201209
.1382345
.42
.43
.0252971
.0455096
.0723919
.1019590
.1272046
.1405168
.43
.44
.0311058
.0537283
.0820577
.1109645
.1329199
.1409758
.44
.45
.0377181
.0625641
.0917607
.1191614
.1370746
.1396131
.45
.46
.0451143
.0718747
.1012495
.1262869
.1395291
.1364960
.46
.47
.0532405
.0814790
.1102568
.1321029
.1402042
.1317523
^47
.48
;0620046
.0911615
.1185099
.1364099
.1390846
.1255625
.48
.49
.0712746
.1006779
.1257447
.1390569
.1362190
.1181492
.49
.50
.0808792
.1097646
.1317176
.1399500
.1317176
.1097646
.50
86
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=32 r=15
n*32 r s 12
n«32 r=n
n=32 r=10
n=32 1- =9
n»32 r-= 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000003
.0000033
.03
.04
.0000000
.0000000
.0000000
.0000003
.0000029
.0000259
.04
.05
.0000000
.0000000
.0000002
.0000021
.0000168
.0001200
.05
.06
.0000000
.0000002
.0000012
.0000100
.0000681
.0004002
.06
.07
.0000001
.0000007
.0000056
.0000369
.0002133
.0010624
.07
.08
.0000003
.0000030
.0000192
.0001106
.0005532
.0023855
.08
.09
.0000015
.0000097
.OOOO558
.0002825
.0012418
.0047085
.09
.10
.0000047
.0000275
.0001411
.0006353
.0024860
.0083901
.10
.11
.0000131
.0000689
.0003185
.0012887
.0045334
.0137545
.11
.12
.0000328
.0001561
.0006544
.0023992
.0076497
.0210368
.12
.15
.0000747
•0003246
.0012415
.0041544
.0120878
.0303357
.13
.14
.0001571
.0006269
.0022006
.0067591
.0180522
.0415847
.14
.15
.0003082
.0011355
.0036769
.0104176
.0256668
.0545418
• 15
.16
.0005697
.0019442
.0058325
.0153104
.0349476
.0688032
.16
.17
.0009979
.0031671
.0088359
.0215700
.0457879
.0838322
.17
.18
.0016665
.0049347
.0128457
.0292599
.0579543
.0990052
.18
.19
.0026657
.0073868
.0179948
.0383573
.0710972
.1136618
.19
.20
.0041010
.0106628
.0243720
.0487441
.0847723
.1271584
.20
.21
.0060892
.0148896
.0320076
.0602048
.0984716
.1389153
.21
.22
.0087516
.0201685
.0408610
.0724353
.1116591
.1484559
.22
.23
.0122063
.0265619
.0508140
.0850582
.1238088
.1554339
.23
.24
.0165577
.0340814
.0616710
.0976458
.1344399
.1596473
.24
.25
.0218867
.0426791
.0731642
.1097464
.1431473
.1610409
.25
.26
.0282392
.0522426
.0849660
.1209131
.1496250
.1596958
,26
.27
.0356172
.0625940
.0967060
.1307322
.1536788
.1558133
.27
.28
.0439712
.0734948
.1079923
.1388473
.1552330
.1496889
.28
.29
.0531960
.0846551
.1184338
.1449792
.1543257
.1416870
.29
• 50
.0631300
.0957472
.1276630
.1489400
.1510986
.1322113
.30
.51
.0735583
.1064222
.1^53573
.1506396
.1457802
.1216795
.31
.52
.0842201
.1163291
.1412567
.1500852
.1386657
.1104992
.32
.35
.0948198
.1251335
.1451765
.1473761
.1300949
.0990495
• 33
.54
.1050407
.1325366
.1470154
.1426915
.1204301
.0876660
.34
.55
.1145606
.1382910
.1467577
.1362751
.1100358
.0766320
.35
.56
.1230691
.1422131
.1444705
.1284182
.0992604
.0661736
.36
•37
.1302835
.1441923
.1402951
.1194405
.0884224
.0564589
•37
.58
.1359646
.1441939
.1344365
.1096719
.0777993
.0476008
.38
.59
.1399277
.1422597
.1271480
.0994362
.0676211
.0396623
.39
.40
.1420530
.1385017
.1187157
.0890368
.0580675
.0326630
.40
.41
.1422903
.1330934
.1094427
.0787454
.0492680
.0265867
.41
.42
.1406596
.1262588
.0996328
.0687940
.0413049
.0213901
.42
•ft
.1372489
.1182576
.0895771
.0593709
.0342178
.0170094
.43
.44
.1322069
.1093711
.0795427
.0506181
.0280099
.0133685
.44
.45
.1257334
.0998881
.0697632
.0426331
.0226552
.0103837
.45
.46
.1180674
.0900906
.0604334
.0354718
.0181047
.0079700
.46
.47
.1094739
.0802420
.0517061
.0291534
.0142936
.0060443
.47
.48
.1002297
.0705784
.0436914
.0236662
.0111471
.0045285
.48
.49
.0906107
.0613008
.0364589
.0189734
.OO8586I
.0033512
.49
.50
.0808792
.0525715
.0300409
.0150204
.0065306
.0024490
• 50
832939 0 - 50 -7
87
BINOMIitL DISTRIBUTION
Table 1 - Individual Terms
qD - r
p
n*32 r= 7
n=32 r =6
n=32 r= 5
n-32 r=4
n=32 r= 3
n=32 r = 2
p
.01
.0000000
.0000007
.0000154
.0002714
.0037059
.0366892
.01
.02
.0000026
.0000343
.0003735
.0032679
.0220865
.1082241
.02
.03
.0000344
.0002992
.0021501
.0124140
.0553638
.1790096
.03
.04
.0001987
.0012842
.0068491
.0293531
.0971689
.2332054
.04
.05
.0007294
.0037312
.0157542
.0534516
.1400800
.2661521
.05
.06
.0020061
.0084616
.0294588
.0824147
.1780915
.2790100
.06
.07
.0045171
.0161572
.0477021
.1131708
.2073869
.27.55283
.07
.08
.0087785
.0271796
.0694591
.1426392
.2262552
.2601935
.08
.09
.0152345
.0414716
.0931833
.1682475
.2346441
.2372512
.09
.10
.0241634
.0585498
.1170995
.1881958
.2336224
.2102601
.10
.11
.0356119
.0775740
.1394766
.2015165
.2248899
.1819564
.11
.12
.0493664
.0974669
.1588350
.2079981
.2103890
.1542852
.12
.13
.0649651
.1170526
.1740781
.2080330
.1920304
.1285127
.13
.14
.0817434
.1351911
.1845467
.2024363
.1715224
.1053638
.14
.15
.0989026
.1508898
.1900093
.1922714
.1502811
.0851593
.15
.16
.1155893
.1633810
.1906111
.1786980
.1294020
.0679360
.16
.17
.1309756
.1721647
.1867931
.1628553
.1096713
.0535455
.17
.18
.1443276
.1770171
.1792026
.1457799
.0916011
.0417294
.18
.19
.1550588
.1779722
.1686053
.1283556
.0754758
.0321766
.19
.20
.1627628
.1752831
.1558071
.1112908
.0614018
.0245608
.20
.21
.1672276
.1693715
.1415910
.0951164
.0^93543
.0185667
.21
.22
.1684300
.1607740
.1266705
.0801972
.0392187
.0139048
.22
.23
.1665170
.1500880
.1116597
.0667531
.0308245
.0103195
.23
.24
.1617760
.1379244
.0970579
.0548839
.0239723
.0075912
.24
.25
.1545991
.1248686
.0832457
.0445959
.0184535
.0055361
.25
.26
.1454461
.1114512
.0704906
.0358262
.0140644
.0040030
.26
.27
.1348073
.0981289
.0589582
.0284652
.0106154
.0028701
.27
.28
.1231726
.0852734
.0487276
.0223749
.0079360
.0020407
.28
.29
.1110044
.0731687
.0398082
.0174039
.0058771
.0014389
.29
.30
.0987178
.0620150
.0321559
.0133983
.0043121
.0010062
.30
• 31
.0866671
.0519358
.0256887
.0102104
.0031346
.0006977
.31
.32
.0751395
.0429885
.0203001
.0077031
.0022579
.0004798
.32
.33
.0643522
.0351762
.0158707
.0057540
.0016114
.0003271
.33
.34
.0544361
.0284600
.0122769
.0042557
.0011394
.0002212
• 34
.35
.0455414
.0227706
.0093974
.0031165
.0007983
.0001483
.35
• 3 6
.0376455
.0180183
.0071183
.0022598
.0005542
.0000985
.36
.37
.0307625
.0141021
.0053360
.0016224
.0003810
.0000649
•37
.38
.0248527
.0109171
.0039582
.0011532
.0002596
.0000423
.38
.39
.0198515
.OO83596
.0029056
.0008115
.0001751
.0000274
.39
.40
.0156782
.0063316
.0021105
.0005653
.0001170
.0000175
.40
.41
.0122429
.0047432
.0015168
.OOO3898
.0000774
.0000111
.41
.42
.0094523
.0035144
.0010784
.0002660
.0000507
.0000070
.42
♦ft
.0072151
.0025750
.0007586
.0001795
.0000329
.0000043
.43
.44
.0054445
.0018657
.0005276
.0001199
.0000211
.0000027
.44
•ft
.0040611
.0013364
.OOO363O
.0000792
.0000133
.0000017
.45
. 46
, 0029939
.0009463
.0002468
.0000518
.OOOOO83
.0000010
.46
.47
.0021811
.0005622
.0001660
.0000334
.0000052
.0000006
.47
.48
.0015699
.0004579
.0001102
.0000213
.0000032
.0000004
.48
.49
.0011161
.0003128
.0000723
.0000135
.0000019
.0000002
.49
.50
.0007837
.0002110
.0000468
.000-0084
.0000012
.0000001
.50
08
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n- r
p
n-32 r- 1
n- 32 r " 0
n-33 r=3l
n=33 r=30
n=33 r --29
n=33 r=28
p
.01
.2343371
.7249803
.0000000
.0000000
.0000000
.0000000
.01
.02
.3421278
.5258831
.0000000
.0000000
.0000000
.0000000
.02
.03
•3734177
.3773076
.0000000
.0000000
.0000000
.0000000
.03
.04
.3610923
.2708192
.0000000
.0000000
.0000000
.0000000
.04
.05
.3262509
.1937115
.0000000
.0000000
.0000000
.0000000
.05
.06
.2820101
.1380675
.0000000
.0000000
.0000000
.0000000
.06
.07
.2361671
.0980515
.0000000
.0000000
.0000000
.0000000
.07
.08
.1930468
.0693762
.0000000
.0000000
.0000000
.0000000
.08
.09
.1547660
.0489018
.0000000
.0000000
.0000000
.0000000
.09
.10
.1220866
.0343368
.0000000
.0000000
.0000000
.0000000
.10
.11
.0949801
.02401*19
.0000000
.0000000
.0000000
.0000000
.ii
.12
.0729951
.0167281
.0000000
.0000000
.0000000
.0000000
.12
.15
.0554869
.0116042
.0000000
.0000000
.0000000
.0000000
.13
.14
.0*117570
.0080159
.0000000
.0000000
.0000000
.0000000
.14
.15
.0311335
.0055132
.0000000
.0000000
.0000000
.0000000
.15
.16
.0230106
.0037752
.0000000
.0000000
.0000000
.0000000
.16
.17
.0168662
.0025734
.0000000
.0000000
.0000000
.0000000
.17
.18
.0122646
•0017460
.0000000
.0000000
.0000000
.0000000
.18
.19
.0088499
.0011790
.0000000
.0000000
.0000000
.0000000
.19
.20
.OO63382
.0007923
.0000000
.0000000
.0000000
.0000000
.20
.21
.0045062
.0005297
.0000000
.0000000
.0000000
.0000000
.21
.22
.0031806
.0003524
.0000000
.0000000
.0000000
.0000000
.22
.23
.0022289
.0002332
.0000000
.0000000
.0000000
.0000000
*23
.24
.0015509
.0001535
.0000000
.0000000
.0000000
.0000000
.24
.25
.0010714
.0001005
.0000000
.0000000
.0000000
.0000000
.25
.26
.0007350
.0000654
.0000000
.0000000
.0000000
.0000000
.26
.27
.0005006
.0000423
.0000000
.0000000
.0000000
.0000000
.27
.28
.0003385
.0000272
.0000000
.0000000
.0000000
.0000000
.28
.29
.0002273
.0000174
.0000000
.0000000
.0000000
.0000000
.29
.30
.0001515
.0000110
.0000000
.0000000
.0000000
.0000000
.30
• 31
.0001002
.0000070
.0000000
.0000000
.0000000
.0000000
♦31
.52
.0000657
.0000044
.0000000
.0000000
.0000000
.0000000
.32
.0000429
.0000027
.0000000
.0000000
.0000000
.0000000
.33
.34
.0000277
.0000017
.0000000
.0000000
.0000000
.0000000
.34
.35
.0000178
.0000010
.0000000
.0000000
.0000000
.0000000
.35
.36
.0000113
.0000006
.0000000
.0000000
.0000000
.0000000
.36
.37
.0000071
.0000004
.0000000
.0000000
.0000000
.0000000
.37
.38
.0000045
.0000002
.0000000
.0000000
.0000000
.0000000
.38
.39
.0000028
.0000001
.0000000
.0000000
.0000000
.0000001
.39
.40
.0000017
.0000001
.0000000
.0000000
.0000000
.0000001
.40
.41
.0000011
.0000000
.0000000
.0000000
.0000000
.0000003
.41
.42
.0000006
.0000000
.0000000
.0000000
.0000001
.0000004
.42
• 43
.0000004
.0000000
.0000000
.0000000
. 000-0001
.0000008
.43
.44
.0000002
.0000000
.0000000
.0000000
.00010002
.0000014
.44
.45
.0000001
.0000000
.0000000
.0000000
.0000004
.0000023
.45
.46
.0000001
.0000000
.0000000
.0000001
.0000005
.0000040
.46
.47
.0000000
.0000000
.0000000
.0000001
.0000010
.0000066
.47
.48
.0000000
.0000000
.0000000
.0000002
.0000017
.0000108
.48
.49
.0000000
.0000000
.0000000
.0000004
.0000029
.0000173
.49
.50
.0000000
.0000000
.0000001
.0000006
.0000048
.0000276
.50
89
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-55 r=27
n-33 r-26
n*33 r=25
n=33 r=24
n*33 r =23
n=33 r=22
p
.01
.0000000
.0000000
. 0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.6000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.6000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
4ooooooo
.05
.06
.0000000
.0000000
.0000000
.0000006
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.6000000
.0000000
.ooooooo
.07
.08
.0000000
.0000000
.0000000
.Ooooooo
.0000000
.ooooooo
.08
.09
.0000000
.0000000
,0000000
.0000000
.0000000
.ooooooo
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000060
.0000600
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.12
• 15
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.21
.22
.0000000
.0000000
.0000000
.0600000
.0000000
.ooooooo
.22
*23
.0000000
.0000000
.0000000
.0000000
,0000000
.0000001
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.24
.25
.0000000
.0000000
.0000000
.0600000
.0000001
.0000005
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000002
.000.0009
,26
.27
.0000000
.0000000
.0000000
.0000001
.0000003
.0000019
.27
.28
.0000000
.0000000
.0000000
.0000001
.0000007
.0000036
.28
.29
.0000000
.0000000
.0000000
.0000003
.0000013
.0000066
.29
• 30
.0000000
.0000000
.0000001
.0000004
.0000025
.00001-20
.30
.51
.0000000
.0000000
.0000002
.0000008
.0600045
.0000211
,31
.52
.0000000
.0000000
.0000003
.0000016
.0000081
.0000361
.32
.55
.0000000
.0000001
.0000005
.0000029
.0000142
.0000604
,33
.54
.0000000
.0000002
.0000009
.0000053
.0000243
.0000987
.34
.55
.0000000
.0000003
.0000018
.0000091
.0000407
.0001579
.35
.56
.0000001
.0000005
.0000032
.0000156
.0000666
.0002473
.36
.57
.0000002
.0000010
.0000055
.0000261
.0001068
.0003801
•37
.58
.0000003
.0000018
.0000095
.0000429
.0001680
.0005732
.38
.59
.0000005
.0000031
.0000159
.0000692
.0002595
.0008488
.40
.0000010
.0000054
.0000262
.0001094
.0003939
.0012352
.40
.41
.0000016
.0000091
.0000426
.0001701
.0005874
.0017676
.41
.42
.0000028
.0000151
.0000678
.0002601
.0008619
.0024886
,42
•ft
.0000048
.0000247
.0001062
.0003911
.0012444
.0034490
.43
.44
.0000080
.0000396
.0001638
.00.05792
.0017689
.0047075
.44
• 45
.0000133
.0000626
.0002487
.0008445
.0024771
.0063303
.45
.46
.0000215
.0000975
.0003721
.0012132
.0054182
.0083901
.45
.47
.0000344
.0001496
.0005485
.0017181
.0046499
.0109635
.47
.48
.0000541
.0002265
.0007972
.0023990
.0062375
.0141289
.48
.49
.0000842
.0003378
.0011428
.0033042
.0082535
.0179618
.49
.50
.0001289
.0004974
.0016163
.0044898
.0107755
.0225307
.50
90
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
=33 21
n-33 r=20
n-33 r =19
n=33 r=i8
n-33 r=l7
n=33 r=l6
p
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.11
0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.12
0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.13
0000000
.0000000
.0000000
.0000001
.0000003
.0000019
.14
0000000
.0000000
.0000000
.0000002
.0000008
.0000048
.15
0000000
.0000000
.0000001
.0000003
.0000021
.0000111
.16
0000000
.0000000
.0000002
.0000009
.0000049
.0000239
.17
0000000
.0000001
.0000003
.0000021
.0000107
•0000485
.18
0000000
..0000002
.0000008
.0000046
.0000219
.0000937
.19
0000001
.0000003
.0000019
.0000095
.0000431
.0001722
.20
0000001
.0000008
.0000040
.0000191
.0000806
.0003035
.21
0000003
.0000016
.0000081
.0000364
.0001451
.0005145
.22
0000006
.0000033
.0000157
.0000668
.0002513
.0008414
.23
0000012
.0000065
.0000294
.0001180
.0004204
.0013311
.24
0000025
.0000124
.0000531
.0002017
.0006807
.0020421
.25
0000050
.0000228.
.0000927
.0003340
.0010697
.0030445
.26
0000093
.0000406
.0001569
.0005373
.0016344
.0044188
.27
0000169
.0000703
.0002581
.0008408
.0024322
.0062543
.28
0000299
.0001182
.0004134
.0012820
.0035310
.0086448
.29
0000514
.0001936
.0005454
.0019077
.0050076
.0116843
.30
0000861
.0003094
.0009839
.0027739
.0069459
.0154604
.31
0001407
.0004830
.0014661
.0039462
.0094338
•0200470
.32
0002248
.0007371
.0021379
.0054982
.0125583
.0254972
• 33
0003512
.0011014
.0030542
.0075097
.0163999
.0318352
.34
0005375
.0016125
.0042782
.0100640
.0210266
.0390493
.35
0008064
.0023156
.0058810
.0132431
.0264862
.0470866
.36
0011867
.0032639
.0079394
.0171231
.0328002
.0558489
.37
0017146
.0045190
.0105331
.0217683
.0399564
.0651919
.38
0024340
.0061498
.0137413
.0272243
.0479041
.0749270
.39
0033969
.00823Q9
.0176376
.0335115
.0565506
.0848259
.40
0046633
.0108401
.0222846
.0406195
.0657590
.0946288
.41
0063005
.0140550
.0277275
.0485011
.0753501
.1040548
.42
0083819
.0179483
.0339884
.0570690
.0851058
.1128146
.43
0109842
.0225829
.0410597
.0661932
.0947767
.1206249
.44
0141847
.0280057
.0488988
.0757026
.1040910
.1272224
.45
0180570
.0342418
.0574241
.0853871
.1127667
.1323783
. 46
0226658
.0412880
.0665126
.0950046
.1205245
.1359105
.47
0280615
.0491076
.0759999
.1042888
.1271019
.1376937
.48
0342739
.0576255
.0856822
.1129607
.1322677
.1376663
.49
0413061
.0667254
.0953219
.1207411
.1358338
.1358338
• 50
91
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n -33 r -15
n =33 r= 14
n =33 r=i3
n=33 r=12
n =33 r -11
n =33 r -10
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000003
.0000028
.05
.06
.0000000
.0000000
.0000000
.0000002
.0000018
.0000135
.06
.07
.0000000
.0000000
.0000001
.0000011
.0000078
.0000492
.07
.08
.0000000
.0000001
.0000006
.0000042
.0000266
.0001460
.08
.09
.0000000
.0000004
.0000022
.0000138
.0000763
.0003688
.09
.10
.0000002
.0000011
.0000070
.0000388
.0001906
.0008203
.10
.11
.0000005
.0000034
.0000193
.0000963
.0004253
.0016456
.11
.12
.-0000016
.0000093
.0000475
.0002159
.OOO8638
.0030293
.12
.13
.0000043
.0000229
.0001071
.0004438
.0016202
.0051857
.13
.14
.0000107
.0000518
.0002228
.0008473
.0028388
.0083401
.14
.15
.0000244
.0001090
.0004324
.0015167
.0046879
.0127051
.15
.16
.0000519
.0002149
.0007896
.0025663
.0073490
.0184523
.16
.17
.0001037
.0003999
.0013667
.0041308
.0110007
.0256870
.17
.18
.0001966
.0007071
.0022547
.0063587
.0158003
.0344249
.18
.19
.0003547
.0011938
.0035627
.0094023
.0218637
.0445779
.19
.20
.0006122
.0019334
.0054134
.0134046
.0292464
.0559497
.20
.21
.0010149
.0030142
.0079373
.0184844
.0379290
.0682409
.21
.22
.0016214
.0045383
.0112634
.0247209
.0478072
.0810646
.22
.23
.0025037
.0066176
.0155080
.0321399
.0586902
.0939709
.23
.24
.0037468
.0093669
.0207634
.0407029
.0703050
.1064764
.24
.25
.0054456
.0128975
.0270849
.0503004
.0823097
.1180966
.25
.26
.0077022
.0173066
.0344801
.0607507
.0943122
.1283782
.26
.27
.0106197
.0226678
.0429010
.0718042
.1058931
.1369278
.27
.28
.0142955
.0290210
.0522379
.0831541
.1166317
.1434352
.28
.29
.0188133
.0363633
.0623192
.0944509
.1261319
.1476897
.29
.30
.0242342
.0446419
.0729152
.1053219
.1340461
.1495876
.30
.31
.0305882
.0537501
.0837461
.1153921
.1400948
.1491331
• 31
.32
.0378665
.0635260
.0944950
.1243059
.1440818
.1464310
• 32
.33
.0460151
.0737563
.1048234
.1317476
.1459024
.1416733
• 33
.34
.0549313
.0841826
.1143893
.1374594
. 1455^52
.1351226
.34
.35
.0644624
.0945124
.1228662
.1412544
.1430888
.1270913
.35
.36
.0744084
.1044329
.1299609
.1430258
.1386916
.1179214
.36
.37
.0845280
.1136259
.1354298
.1427503
.1325789
.1079638
•37
.38
.0945474
.1217853
.1390918
. 140-4861
.1250259
.0975603
.38
.39
.1041721
.1286335
.1408372
.1363661
.1163404
.0870283
•39
.40
.1131013
.1339357
.1406325
.1305873
.1068441
.0766491
.40
.41
.1210429
.1375133
.1385196
.1233966
.0968568
.0666597
.41
.42
.1277286
.1392530
.1346113
.1150759
. 0866805
.0572486
.42
•43
.1329289
.1391116
.1290826
.1059249
.0765885
.0485550
.43
.44
.1364645
.1371174
.1221592
.0962466
.0668158
.0406706
.44
.45
.1382169
.1333672
.1141030
.0863320
.0575546
.0336430
• 45
.46
.1381339
.1280188
.1051980
.0764483
.0489511
.0274829
.46
.47
.1362318
.1212814
.0957349
.0668302
. 041*1063
.0221693
.47
.48
.1325940
.1134028
.0859970
.0576727
.0340793
.0176570
.48
.49
.1273648
.1046553
.0762489
.0491283
.0278910
.0138836
.49
.50
.1207411
.0953219
.0667254
.0413061
.0225307
.0107755
.50
92
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n=33 r= 9
n=33 r- 8
n=33 r« 7
n=33 r= 6
n*33 r= 5
n=33 r= 4
P
.01
.0000000
.0000000
.0000000
.0000009
.0000179
.0003057
.01
.02
.0000000
.0000002
.0000033
.0000410
.0004314
.0036443
.02
.03
.0000004
.0000042
.0000424
.0003547
.0024580
.0137025
• 03
.04
.0000038
.0000328
.0002422
.0015068
.0077492
.0320657
.04
• 05
.0000220
.0001505
.0008795
.0043324
.0176390
.0577830
• 05
.06
.0000881
.0004965
.0023934
.0097214
.0326362
.0881553
.06
.07
.0002727
.0013043
.0053319
.OI83653
.0522849
.1197659
• 07
.08
.0006997
.0028969
.0102506
.0305620
.0753135
.1493285
.08
.09
.0015538
.0056558
.0175958
.0451257
.0999391
.1742232
.09
.10
.0030764
.0099674
.0276020
.0644048
.1242093
.1927384
.10
.11
.0055477
.0161588
.0402277
.0843834
.1463009
.2040876
.11
.12
.0092562
.0244363
.0551384
.1048311
.1647345
.2082851
.12
.13
.0144600
.0348376
.0717365
.1244658
.1784923
.2059527
• 13
.14
.0213468
.0472068
.0892262
.1421009
.1870511
.1981084
.14
.15
.0299980
.0611959
.1067007
.1567577
.1903487
.1859728
• 15
.16
.0403645
.0762890
.1232359
.1677379
.1887050
.1708106
.16
.17
.0522554
.0918467
.1379777
.1746515
.1827237
.1538140
.17
.18
.0653^34
.1071632
.1502118
.1774105
.1731865
.1360277
.18
.19
.0791844
.1215273
.1594123
.1761925
.1609579
.1183084
.19
.20
.0932496
.1342793
.1652668
.1713879
.1469039
.1013130
.20
.21
.1069647
.1448609
.1676778
.1635376
.1318314
.0855063
.21
.22
.1197544
.1528502
.1667457
.1532712
.1164464
.0711819
.22
.23
.1310825
.1579830
.1627383
.1412495
.1013312
.0584895
*23
.24
.1404896
.1601582
.1560516
.1281165
.0869361
.0474652
.24
• 25
.1476208
.1594304
.1471665
.1144628
.0735833
.0380603
• 25
.26
.1522434
.1559909
.1366074
.1008015
.0614778
.0301682
.26
.27
.1542551
.1501416
.1249042
.0875528
.0507251
.0236457
.27
.28
.1536807
.1422644
.1125608
.0750405
.0413489
.0183320
.28
.29
.1506605
.1327891
.1000320
.0634942
.0333109
.0140612
• 29
• 30
.1454324
.1221633
.0877069
.0530573
.0265286
.0106725
.30
.31
.1383090
.1108257
.0759004
•0437992
.0208904
.0080169
• 31
.32
.1296525
.0991841
.0648511
.0357282
.0162691
.0059606
.32
• 33
.1198499
.0875994
.0547241
.0288054
.0125322
.0043870
• 33
.34
.1092903
.0763747
.0456174
.0229578
.0095497
.0031961
.34
.35
.0983445
.0657503
.0375716
.0180900
.0071991
.0023051
• 35
• 3 6
.0873492
.0559035
.0305797
.0140943
.0053693
.0016457
.36
.37
.0765959
.0469512
.0245982
.OIO8586
.0039620
.0011631
.37
.38
.0663239
.0389565
.0195572
.0082727
.0028923
.0008137
.38
• 39
.0567172
.0319361
.0153697
.0062325
.0020889
.OOO5633
.39
.40
.0479057
.0258690
.0119396
.0046432
.0014924
.0003860
.40
.41
.0399687
.0207057
.0091680
.0034204
.0010548
.0002616
.41
.42
.0329406
.0163763
.0069584
.0024912
.0007372
.0001756
.42
.^3
.0268182
.0127979
.0052199
.0017939
.0005096
.0001164
.43
.44
.0215676
.0098820
.0038698
.0012769
.0003483
.0000764
.44
.45
.0171331
.0075385
.0028350
.OOO8983
.OOO2353
.0000496
-45
.46
.0134428
.0056810
.0020520
.0006245
.0001571
.0000318
.46
.47
.0104164
.0042286
.0014673
.0004289
.0001037
.0000201
.47
.48
.0079702
.0031084
.0010361
.0002910
.0000676
.0000126
.48
.49
.0060209
.0022561
.0007225
.0001949
.0000435
.0000078
.49
.50
.0044898
.0016163
.0004974
.0001289
.0000276
.0000048
.50
93
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n- r
p
n-33 r- 3
n-33 r= 2
n-33 r= 1
n^=33 r- 0
n-34 r=3i
n=34 r=3 0
p
.01
.0040358
.0386657
.2392435
.7177305
.0000000
.0000000
.01
.02
.0238093
.1129022
.3457628
.5134055
.0000000
.0000000
.02
.03
.0590732
.1848418
.3735345
.3659883
.0000000
.0000000
.03
.04
.1026104
.2383209
.3574814
.2599864
.0000000
.0000000
.04
• 05
.1463836
.2691570
.'3196240
.1840259
.0000000
.0000000
.05
.06
.1841466
.2791900
.2733736
.1297834
.0000000
.0000000
.06
.07
.2121568
.2727731
.2264990
.0911879
.0000000
.0000000
.07
.08
.2289703
.2548217
.1831532
.0638261
.0000000
.0000000
.08
.09
.2348787
.2298275
.1452383
.0445006
.0000000
.0000000
.09
.10
.2312862
.2014428
.1133115
.0309032
.0000000
.0000000
.10
.11
.2201672
.1723890
.0871740
.0213732
.0000000
.0000000
.11
.12
.2036565
.1445304
.0662431
.0147207
.0000000
,0000000
.12
.13
.1837731
.1190193
.0497821
.0100957
.0000000
.0000000
.13
.14
.1622602
.0964589
.0370333
.0068936
.0000000
.0000000
.14
.15
.1405128
.0770554
.0272905
.0046862
.0000000
.0000000
.15
.16
.1195675
.0607479
.0199330
.0031711
.0000000
.0000000
.16
.17
.1001300
.0473099
.0144365
.0021359
.0000000
.0000000
.17
.18
.0826242
.0364258
.0103712
.0014317
.0000000
.0000000
.18
.19
.0672490
.0277444
.0073925
.0009550
.0000000
.0000000
.19
.20
.0540336
.0209162
.0052291
.OOO6338
.0000000
.0000000
.20
.21
.0428889
.0156140
.0036711
.0004185
.0000000
.0000000
.21
.22
.0336497
.0115455
.0025583
.0002749
.0000000
.0000000
.22
.23
.0261084
.0084587
.0017698
.0001796
.0000000
.0000000
.23
.24
.0200408
.0061415
.0012156
.0001166
.0000000
.0000000
.24
• 25
.0152241
.0044199
.0008288
.0000753
.0000000
.0000000
.25
.26
.0114484
.0031533
.0005609
.0000484
.0000000
.0000000
,26
.27
.0085242
.0022303
.0003769
.0000309
.ooo'oooo
.0000000
.27
.28
.OO62853
.0015640
.0002514
.0000196
.0000000
.0000000
.28
.29
.0045900
.0010875
.0001665
.0000123
.0000000
.0000000
.29
.30
.0033203
.0007497
.0001094
.0000077
.0000000
.0000000
.30
.31
.0023792
.0005125
.0000713
.0000048
.0000000
.0000000
.31
• 32
.0016889
.OOO3473
.0000461
.0000030
.0000000
.0000000
.32
.33
.OOH875
.0002334
.0000296
.0000018
.0000000
.0000000
.33
.34
.0008272
.0001554
.0000189
.0000011
.0000000
.0000000
.34
.35
.0005708
.0001026
.0000119
.0000007
.0000000
.0000000
.35
.36
.0003901
.0000671
.0000075
.0000004
.0000000
.0000000
.36
.37
.0002640
.0000435
.0000047
.0000002
.0000000
.0000000
.37
.38
.0001770
.0000279
.0000029
.0000001
.0000000
.0000000
.38
.39
.0001175
.0000178
.0000017
.0000001
.0000000
.0000000
.39
.40
.0000772
.0000112
.0000011
.0000000
.0000000
.0000000
.40
.41
.OOOO503
.0000069
.0000007
.0000000
.0000000
.0000000
.41
.42
.OOOO323
.0000043
.0000004
.0000000
.0000000
.0000000
,42
.43
.0000206
.0000027
.0000002
.0000000
.0000000
.0000001
.43
.44
.0000130
.0000016
.0000001
.0000000
.0000000
.0006001
.44
.45
.0000081
.0000009
.0000001
.0000000
.0000000
.0000002
.45
.46
.0000050
.0000006
.0000000
.0000000
.0000000
.0000003
.46
.47
.0000030
.0000004
.0000000
.0000000
.0000001
.0000005
.47
.48
.0000018
.0000002
.0000000
.0000000
.0000001
.0000009
.48
.49
.0000011
.0000001
.0000000
.0000000
.0000002
.0000016
.49
.50
.0000006
.0000001
.0000000
.0000000
.0000004
.0000027
,50
94
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
(?)p r c
n-r
p
n=54 rs: 29
n-5^ r=28
n=34 r-27
n=34 r=26
n*34 r*2 5
n=34 r=24
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.’0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17 '
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.29
• 30
.0000000
.OO'OOOOO
.0000000
.0000000
.0000002
.0000011
.30
.31
.0000000
.0000000
.0000000
.0000001
.0000003
.0000020
.31
.32
.0000000
.0000000
.0000000
.0000001
.0000007
.0000037
.32
.33
.0000000
.0000000
.0000000
.0000003
.0000013
.0000065
.33
.34
.0000000
.0000000
.0000001
.0000004
, 000002*1
.0000117
.34
.35
.0000000
.0000000
.0000001
.0000009
.0000043
.0000202
.35
• 36
.0000000
.0000000
.0000003
.0000015
,0000076
.0000340
.36
.37
.0000000
.0000001
.0000004
.0000027
.0000132
.0000559
.37
.38
.0000000
.0000001
.0000009
.0000047
.0000222
.0000904
.38
.39
.0000000
.0000003
.0000015
.0000081
.0000367
.0001434
.39
.40
.0000001
.0000004
.0000027
.0000138
.0000595
.0002232
.40
.41
.0000001
.0000008
.0000047
.0000229
.0000948
.0003412
.41
.42
.0000002
.0000015
.0000080
.0000372
.0001486
.0005128
.42
-*3
.0000005
.0000026
,0000133
.0000597
.0002288
.0007580
.43
.44
.0000007
.0000043
,0000220
.0000942
.0003466
.0011026
.44
.45
.0000012
.0000073
.0000355
.0001463
.0005168
.0015792
.45
.46
.0000022
.0000120
.0000565
.0002238
.0007590
.0022275
. 46
.47
.48
.0000056
.0000061
.0000196
.0000316
.0000886
.0001-368
.0003371
, 000-5004
.0010982
.0015661
.0030961
.0042415
.47
.48
.49
.0000100
.0000500
.0002085
.0007323
.0022019
.0057293
.49
.50
.0000152
.0000783
.0003131
.0010568
.0030531
.0076327
.50
95
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
n=34 r =23
n=34 r=22
11=34 r=2 1
n=34 r=2 0
n=34 r- 19
n=34 r =18
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000006
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.000000:0
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
: 0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000003
.0000016
.17
.18
.0000000
.0000000
.0000000
.0000001
.0000007
.0000036
.18
.19
.0000000
.0000000
.0000000
.0000003
.0000016
.0000079
.19
.20
.0000000
.0000000
.0000001
.0000007
.0000034
.0000163
.20
.21
.0000000
.oocoooo
.0000003
.0000014
.0000072
.0000320
.21
.22
.0000000
.0000001
.0000006
.0000030
.0000143
.0000603
.22
.23
.0000000
.0000003
.0000012
.0000061
.0000275
.0001092
*23
.24
.0000001
.0000005
.0000025
.0000120
.0000507
.0001905
.24
.25
.0000002
.0000010
.0000050
.0000226
.0000902
.0003214
.25
.26
.0000003
.0000020
.0000096
.0000410
.000155^
.0005253
.26
.27
.0000008
.0000039
.0000177
.0000721
.0002596
.0008335
.27
.28
.0000015
.0000073
.0000319
.0001228
.0004213
.0012864
.28
.29
.0000029
.0000134
.0000555
.0002038
.0006653
.0019342
.29
• 30
.0000053
.0000238
.0000940
.0003292
.0010241
.0028377
.30
.31
.0000097
.0000412
.0001553
.0005185
,0015388
.0040672
.31
.32
.0000171
.0000696
.0002502
.0007975
.0022597
.0057023
.32
.33
.0000295
.0001146
.0003938
.0011994
.0032468
.0078280
.33
.34
.0000496
.0001846
.0006063
.0017653
.0045691
.0105324
.34
.35
.0000816
.0002908
.0009138
.0025455
.0063032
.0139009
.35
.36
.0001316
.0004486
.0013497
.0035992
.0085313
.0180106
.36
.37
.0002080
.0006785
.0019553
.0049938
.0113373
.0229237
•37
.38
.0003220
.0010070
.0027802
.0068044
.0148025
.0286797
.38
.39
.0004894
.0014670
.0038832
.0091104
.0189997
.0352894
.39
.40
.0007304
.0020998
.0053305
.0119936
.0239872
.0427271
.40
.41
.0010713
.0029548
.0071958
.0155324
.0298019
.0509267
.41
.42
.0015451
.0040896
.0095574
.0197974
.0364525
.0597777
.42
.43
.0021924
.0055701
.0124954
.0248456
,0439131
.0691248
.*3
.44
.0030619
.0074693
.0160876
.0307126
,0521185
.0787700
.44
.45
.0042111
.0098648
.0204041
.0374076
,0609605
.0884773
.45
.46
.0057053
.0128368
.0255020
.0449056
.0702871
.0979818
.46
.47
.0076172
. 0164636
.0314182
.0531^36
.0799039
.1069989
.47
.48
.0107)254
.0208165
.0381637
.0620159
.0895785
.1152391
.48
.49
.0130105
.0259548
.0457162
.0713733
.0990487
.1224211
.49
.50
.0166530
.0319184
.0540158
.0810237
.1080315
.1282874
.50
96
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-34 r =17
n=34 r=16
n=34 r-1 5
n=34 r=l4
n-34 r=l 3
n=34 r=12
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000002
.0000015
.07
.08
.0000000
.0000000
.0000000
.0000001
.0000009
.0000060
.08
.09
.0000000
.0000000
.0000001
.0000005
.0000032
.0000195
.09
.10
.0000000
.0000000
.0000003
.0000017
.0000101
.0000540
.10
.11
.0O00000
.0000001
.0000009
.0000051
.0000278
.0001325
.11
.12
.0000001
.0000004
.0000025
.0000139
.0000677
.0002937
.12
.13
.0000002
.0000012
.0000068
.0000338
.0001509
.0005968
.13
.14
.0000005
.0000032
.0000165
.0000757
.0003102
.0011251
.14
.15
.0000014
.0000078
.0000371
.0001575
.0005950
.0019924
.15
.16
.0000035
.0000176
.0000780
.0003068
.0010739
.0033315
.16
.17
.0000081
.0000375
.0001541
.0005643
. 0018366
.0052985
.17
.18
.0000175
.0000752
.0002885
.0009815
.0029935
.0080582
.18
.19
.0000355
.0001432
.0005142
.0016439
.0046722
.0117700
.19
.20
.0000688
.0002602
.0008765
.0026293
.0070117
.0165730
.20
.21
.0001275
.0004529
.0014347
.0040480
.0101522
.0225678
.21
.22
.0002264
.0007580
.0022631
.0060179
.0142240
.0297999
.22
.23
.0003870
.0012237
.0034500
.0086623
.0193334
.0382464
.23
.24
.0006389
.0019109
.0050956
.0121021
.0255489
.0478074
.24
.25
.0010211
.0028930
.0073086
.0164443
.0328888
.0583027
.25
.26
.0015832
.0042554
.0101994
.0217717
.0413105
.0694767
.26
.27
.0023862
.0060930
.0138727
.0281308
.0507048
.0810082
.27
.28
.0035024
.0085058
.0184187
.0355217
.0608944
.0925278
.28
.29
.0050140
.0115937
.0239028
.0438905
.0716374
.1036384
.29
• 30
.0070106
.0154493
.0303565
.0531239
.0826372
.1139391
.30
.31
.0095855
.0201499
.0377684
.0630489
.0935563
.1230500
• 31
.32
.0128301
.0257492
.0460775
.0734361
.1040345
.1306342
.32
.33
.0168282
.0322681
.0551697
.0840084
.1137084
.1364187
.33
.34
.0216479
.0396878
.0648768
.0944528
.1222332
.1402086
.34
.35
.0273345
.0479439
.0749799
.1044363
.1293021
.1418964
.35
• 36
.0339024
.0569224
.0852172
.1136230
.1346643
.1414655
.36
.37
.0413282
.0664601
.0952943
.1216933
.1381384
.1389869
•37
.38
.0495459
.0763470
.1048978
.1283618
.1396216
.1346113
.38
.39
.0584431
.0863325
.1137121
•1333929
.1390935
.1285561
.39
.40
.0678608
.0961360
.1214351
.1366144
.1366144
.1210900
.40
.41
.0775956
.1054586
.1277957
.1379260
.1323191
.II25153
.41
.42
.0874060
.1139978
.1325689
.1373035
.1264064
.1031498
.42
•43
.0970206
.1214637
.1355874
.1347992
.1191248
.0933102
.43
.44
.1061498
.1275943
.1367518
.1305358
.1107577
.0832971
.44
.45
.1145002
.1321699
.1360345
.1246984
.1016060
.0733821
* 4 5
.46
.1217880
.1350259
.1334809
.1175213
.0919732
.0637995
. 46
.47
.1277559
.1360615
.1292052
.1092745
.0821497
.0547399
.47
.48
.1321860
.1352459
.1233821
.1002481
.0724013
.0463^79
.48
.49
.1349130
.1326186
.1162371
.0907362
.0629597
.0387220
.49
.50
.1358338
.1282874
.1080315
.0810237
.0540158
.0319184
.50
97
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=34 r=ll
n=34 r=10
n=34 r=9
n»34 r=8
n=34 r - 7
n=34 r= 5
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000011
.01
.02
.0000000
.0000000
.0000000
.0000003
.0000040
.0000489
.02
.03
.0000000
.0000000
.0000005
.0000054
.0000517
.0004179
• 03
.04
.0000001
.0000005
.0000049
.0000412
.0002927
.0017565
.04
.05
.0000005
.0000037
.0000284
.0001869
.0010522
.0049977
.05
.06
.0000025
.0000180
.0001125
.0006104
.0028331
.0110963
.06
.07
.0000106
.0000649
.0003449
.0015863
.0062442
.0207397
.07
.08
.0000361
.0001904
.0008755
.0034852
.0118755
.0341421
.08
.09
.0001026
.0004754
.0019230
.0067304
.0201635
.0509689
.09
.10
.0002536
.0010460
.0037654
.0117309
.0312823
.0703853
.10
.11
.0005595
.0020748
.0067149
.0188065
.0450848
.0911943
.11
.12
.0011236
.0037765
.0110778
.0281206
.0611016
.1120194
.12
.13
.0020836
:0063914
.0171091
.0396344
.0785913
.1314893
.13
.14
.0036090
.0101611
.0249671
.0530896
.0966286
.1483939
.14
.15
.0058905
.0152990
.0346777
.0680216
.1142092
.1617964
.15
.16
.0091256
.0219583
.0461124
.0838004
.1303563
.1710926
.16
.17
.0134974
.0302036
.0589860
.0996889
.1442122
.1760238
.17
.18
.0191527
.0399902
.0728710
.1149119
.1551076
.1766502
.18
.19
.0261794
.0511531
.0872296
.1287254
.1626006
.1732979
.19
.20
.0345871
.0634097
.1014554
.1404769
.1664910
.1664911
.20
.21
.0442945
.0763729
.1149229
.1496525
.1668083
.1568793
.21
.22
.0551238
.0895764
.1270354
.1559072
.1637813
.1451698
.22
.23
.0668048
.1025065
.1372697
.1590767
.1577959
.1320683
*23
.24
.0789861
.1146396
.1452101
.1591726
.1493^72
.1182331
.24
.25
.0912565
.1254776
.1505732
.1563644
.1389906
.1042429
.25
.26
.1031694
.1345831
.1532177
.1509512
.1272979
.0905773
.26
.27
.1142725
.1416062
.1531445
.1433275
.1148192
.0776094
.27
.28
.1241367
.1463040
.1504841
.1339474
.1020551
.0655069
.28
.29
.1323837
.1485512
.1454777
.1232895
.0894361
.0547410
.29
• 30
.1387086
.1483410
.1384517
.1118263
.0773121
.0.450987
• 30
.31
.1428967
.1457776
.1297892
.0999988
.0659491
.0366974
.31
.32
.1448335
.1410619
.1199026
.0881975
.0555318
.0295013
.32
.33
.1445068
.1344716
.1092072
.0767506
.0461709
.0234352
• 33
.34
.1420015
.1263396
.0980990
.0659172
.0379131
.OI8399I
.34
.35
.1374897
.1170299
.0869365
.0558878
.0307530
.0142782
• 35
• 36
.1312143
.1069154
.0760287
.0467870
.0246449
.0109533
.36
.37
.1234713
.0963577
.0656274
.0386805
.0195146
.0083068
•37
.38
.1145889
.0856905
.0559243
.0315848
.0152690
.0062282
.38
.39
.1049086
.0752070
.0470526
.0254752
iOiisoei
.0046166
•? 9
.40
.0947662
.0651517
.0390910
.0202973
.0090210
.0033829
.40
.41
.0844760
.0557163
.0320709
.0159753
.0068115
.0024505
.41
.42
.0743191
.0470393
.0259836
.0124207
.0050822
.0017546
,42
• J3
.0645341
.0392082
.0207895
.0095394
.0037467
.0012416
.43
.44
.0553119
.0322652
.0164260
.0072366
.0027290
.OOO8683
.44
.45
.0467945
.0262135
.0128155
.0054219
.0019635
.0006000
.45
.46
.0390758
.0210244
.0098723
.0040117
.0013954
.0004095
. 46
.47
.0322060
.0166454
.0075082
.0029307
.0009793
.6002760
.47
.48
.0261966
.0130073
.0056365
.0021137
.OOO6785
.OOOI837
.48
.49
.0210274
.0100310
.0041-761
.0015046
.0004640
.0001207
.49
.50
.0166530
.0076327
.0030531
.0010568
.0003131
.OOOO783
.50
98
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-34 r=5
n-34 r=4
n-34 r= 5
n=34 r=£
n=34 r = ^
n=»"34 r=0
p
.01
.0000207
.0003431
.0043821
.0406714
.2440284
.7105532
.01
.02
.0004956
.0040476
.0255911
.1175594
.3491157
.5031374
.02
.03
.0027953
.0150636
.0628463
.1905025
.3733081
.3550087
.03
.04
.0087219
.0348875
.1080389
.2430873
.3535815
.2495870
.04
.03
.0196462
.0622131
.1525223
.2716803
.3128441
.1748246
.05
.06
.0359673
.0939148
.1898492
.2788411
.2647581
.1219964
.06
.07
.0570085
.1262333
.2164000
.2695338
.2170272
..0848048
.07
.08
.0812347
.1556998
.2310384
.2490883
.1736070
.0587200
.08
.09
.1066246
.1796823
.2344241
.2222145
.1361718
.0404956
.09
.10
.1310621
.1965933
.2283018
.1926296
.1050708
.0278128
.10
.11
•1526575
.2058563
.2149116
.1630153
.0799359
.0190222
.11
.12
.1699606
.2077297
.1965613
.1351360
.0600604
.0129542
.12
.13
.1820622
.2030693
.1755551
.1100185
.0446229
.OO87832
.13
.14
.1885992
.1930897
.1530480
.0881392
.0328138
.0059285
.14
.13
.1896923
.1791538
.1309942
.0695907
.0238998
.OO39833
.15
.16
.1858419
.1626117
.1101563
.0542176
.0172510
.0026638
.16
• 3.7
.1778091
.1446877
.0911506
.0417214
.0123454
.0017728
.17
.18
.1664979
.1264151
.0743085
.0317359
.0087621
.0011740
.18
.19
.1528545
.1086071
.0597431
.0238776
.0061693
.0007736
.19
.20
.1377857
.0918571
.0474101
.0177788
.0043100
.0005071
.20
.21
.1221031
.0765567
.0371612
.0131059
.0029881
.OOO3306
.21
.22
.1064882
.0629249
.0287867
.0095683
.0020560
.0002144
.22
.23
.0914776
.0510419
.0220489
.0069202
.0014041
.OOOI383
*23
.24
.0774632
.0408833
.0167050
.0049593
.0009518
.0000886
.24
.25
.0647026
.0323512
.0125231
.0035221
.0006404
.0000565
.25
.26
.0533373
.0253011
.0092917
.0024792
.0004277
.OOOO358
,26
.27
.0434136
.0195630
.0068248
.0017299
.0002835
.0000225
.27
.28
.0349042
.0149589
.0049633
.0011965
.0001865
.0000141
.28
.29
.0277286
.0113145
.0035743
.0008204
.0001217
.0000088
.29
• 30
.0217718
.0084668
.0025491
.0005576
.OOOO789
.0000054
.30
.31
.0168997
.0062692
.OOI8005
.0003757
.0000507
.0000033
,31
.32
.0129704
.0045937
.0012595
.0002510
.OOOO323
.0000020
.32
.33
*0098443
.0033312
.0008726
.0001661
.0000205
.0000012
.33
• 34
.0073895
.0023907
.0005988
.0001089
.0000129
.0000007
.34
.35
.0054862
.0016981
.0004069
.0000709
.0000080
.0000004
.35
• 36
.0040288
.0011938
.0002738
.0000456
.0000049
.0000003
.36
.37
.0029264
.0008305
.0001824
.0000291
.0000030
.0000002
.37
.38
.0021024
.0005717
.0001204
.0000184
.0000018
.0000001
.38
.39
.0014939
.0003894
.0000786
.0000116
.0000010
.0000001
.39
.40
.0010498
.0002625
.0000508
.0000071
.0000007
.0000000
.40
.41
.0007295
.0001750
.0000325
.0000044
.0000004
.0000000
.41
.42
.0005013
.0001153
.0000206
.0000027
.0000002
.0000000
.42
• *3
.0003406
.0000752
.0000129
.0000016
.0000001
.0000000
.43
.44
.0002286
.0000485
.0000080
.0000009
.0000001
.0000000
.44
.45
.0001517
.0000309
.0000049
.0000006
.0000000
.0000000
.45
. 45
.0000994
.0000195
.0000030
.0000003
.0000000
.0000000
.46
.47
.0000644
.0000121
.0000018
.0000002
.0000000
.0000000
.47
.48
.0000412
.0000074
.0000011
.0000001
.0000000
.0000000
.48
.49
.0000260
.0000045
.0000006
.0000001
.0000000
.0000000
.49
.50
.0000162
.0000027
.0000004
.0000000
.0000000
.0000000
.50
99
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
n-35 r=32
n-35 r=3l
n-35 r=3 0
n=35 r =29
n-35 r=2 8
n»35 r =2 7
p
.01
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.01
.02
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.02
.03
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.03
.04
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.04
.05
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.05
.06
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.06
.07
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
•OOOOOOO
.07
.08
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.08
.09
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.09
.10
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.10
.11
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.11
.12
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.12
.13
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.13
.14
.0000000
.0000000
.ooooooo
.ooooooo
•OOOOOOO
.ooooooo
.14
.15
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.15
.16
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.16
.17
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.17
.18
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.18
.19
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.19
.20
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.20
.21
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.21
.22
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.22
• 23
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
*23
.24
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.24
.25
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.25
.26
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
,26
.27
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.27
.28
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.28
.29
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.29
• 30
.ooooooc
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.30
.31
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
-31
.32
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.0000001
.32
.33
.0000000
.0000000
.ooooooo
•OOOOOOO
.ooooooo
.0000001
.33
.34
.0000000
.0000000
.ooooooo
.ooooooo
•OOOOOOO
.0000002
.34
.35
.0000000
.0000000
.ooooooo
.ooooooo
.0000001
.0000003
.35
.36
.0000000
.0000000
.ooooooo
.ooooooo
.0000001
.0000007
.36
.37
.0000000
.0000000
.ooooooo
.ooooooc
.0000002
.0000013
•37
.38
.0000000
.0000000
.ooooooo
.0000001
.0000004
.0000023
.38
.39
.0000000
.0000000
.ooooooo
.0000001
.0000008
.0000041
.39
.40
.0000000
.0000000
.ooooooo
.0000003
.0000013
.0000071
.40
.41
.0000000
.0000000
.0000001
.0000004
.0000024
.0000121
.41
.42
.00.00000
.0000000
.0000001
.0000008
.0000041
.0000203
.42
• 43
.0000000
.ooooooo
.0000002
.0000013
.0000072
.0000333
.43
.44
.0000000
.0000001
.0000003
.0000023
.0000121
.0000537
.44
.45
.0000000
.0000001
.0000006
.0000040
.0000199
.0000854
.45
. 46
.0000000
.0000002
.0000011
.0000067
.0000325
.0001334
.46
.47
.0000000
.0000003
.0000020
.0000111
.0000521
.0002054
.47
.48
.0000001
.0000005
.0000033
.0000183
.0000822
.0003113
.48
.49
.0000001
.0000009
.0000057
.0000296
.0001277
.0004651
.49
.50
.0000002
.0000015
.0000095
.0000472
.0001957
.0006850
.50
100
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
1 n=55 r*26
n=55 r=?5
11=55 r-24
n=55 r=23
n=35 r=2L2
n=35 r=21
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.OOOOOQO
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0060006
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0900000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000600
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0006000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.6000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0006003
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.22
• 25
.0000000
.0000000
.0000000
.0000001
.0000004
.0000024
*23
.24
.0000000
t0000000
.6000000
.0000002
.0000010
.0000048
.24
.25
.0000000
.0000000
.0000001
.0000003
.0000020
.0000094
.25
.26
.0000000
.0000000
.0000002
.0000008
.0000039
.0000178
,26
.27
.0000000
.0000001
.0000005
.0000015
.0000077
.6000324
.27
.28
.0000000
.0000001
.0000006
.0000051
.0000142
.0000574
.28
.29
.0000000
.0000005
.0000012
.0000059
.0000256
.0000985
.29
.50
.0000001
.0000004
.0000024
.0000108
.6000449
.0001646
.30
.31
.0000002
.0000008
.0000044
.0000195
.0000765
.0002679
.31
.32
.0000005
.0000016
.0000080
.0000339
.0001273
.0004254
.32
.33
.0000006
.0000051
.0000141
.0000576
.0002068
.0006596
.33
.34
.0000011
.0000056
,0000246
.0000955
.0003279
.0010004
.34
.35
.0000021
.0000099
.0000416
.0001549
.0005088
•0014849
.35
• 36
.0000057
.0000171
.0000692
.0002457
.0007730
.0021595
.36
.37
.0000066
.0000290
.0001122
:0003820
.0011510
.0036795
.37
.38
.0000115
.0000482
.0001784
.0005823
.0016808
.0045094
.38
.39
.0000192
.0000785
.0002784
.0008706
.0024093
.0059218
.39
.40
.0000521
.0001250
.0004260
.0012782
.0033921
.0079958
.40
.41
.0000525
.0001959
.0006406
'.0018435
.0046936
.0106138
.41
.42
.0000840
.0005015
.0009464
.0026138
.0063861
.0138582
.42
.43
.0001524
.0004565
.0015748
.0036448
.0085480
.0178060
.43
.44
.0002053
.0006792
.0019648
.0050011
.0112613
.0225226
.44
-*5
.0005131
.0009949
.0027655
.0067552
.0146075
.0280557
.45
. 46
.0004700
.0014546
.0058272
.0089858
.0186628
.0344277
.46
.47
.0006948
.0020572
.0052210
.0117750
.0234923
.0416291
.47
.48
.0010120
.0028502
.0070178
.0152051
.0291432
.0496127
.48
.49
.0014524
.0059305
.0092972
.0193532
.0356379
.0582881
.49
.50
.0020550
.0055428
.0121429
.0242857
.0429671
.0675197
.50
101
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n- r
p
n =35 r=20
n =35 r =19
n=35 r =18
n =35 r =17
n =35 r=r6
n =35 r=15
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.000000c
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000002
.0000014
.11
.12
.0.000000
.0000000
.0000000
.0000001
.0000007
.0000039
.12
.13
.0000000
.0000000
.0000001
.0000003
.0000019
.0000103
.13
.14
.0000000
.0000000
.0000002
.0000009
.0000050
.0000248
.14
.15
.0000000
.0000001
.0000004
.0000024
.0000122
.0000551
.15
.16
.0000000
.0000002
.0000011
.0000058
.0000273
.0001146
.16
.17
.0000001
.0000005
.0000027
.0000131
.0000573
.0002238
.17
.18
.0000003
.0000012
.0000061
.0000278
.0001136
.0004140
.18
.19
.0000005
.0000028
.0000131
.0000560
.0002137
.0007288
.19
.20
.0000012
.0000059
.0000268
.0001072
.0003834
.0012271
.20
.21
.0000026
.0000124
.0000521
.0001958
.0006591
.0019835
.21
.22
.0000056
.0000244
.0000968
.0003434
.0010891
.0030892
.22
.23
.0000110
. 0000.463
.0001731
.0005795
.0017357
.0046488
*23
.24
.0000213
.0000842
.0002982
.0009442
.0026752
.0067771
.24
.25
.0000395
.0001480
.0004964
.0014890
.0039969
.0095926
.25
.26
.0000707
.0002516
.0008003
.0022780
.0058009
.0132082
.26
.27
.0001226
.0004146
.0012528
.0033870
.0081935
.0177224
.27
.28
.0002064
.0006635
.0019069
.0049033
.0112815
.0232075
.28
.29
.0003376
.0010333
.0028273
.0069222
.0151633
.0296992
.29
• 30
.0005377
.0015681
.0040895
.0095423
.0199214
.0371868
.30
.31
.0008348
.0023226
.0057779
.0128605
.0256116
.0456054
.31
.32
.0012654
.0033614
.0079831
.0169642
.0322543
.0548323
.32
.33
.0018751
.0047586
.0107980
.0219234
.0398256
.0646865
.33
.34
.0027186
.0065966
.0143117
.0277815
.0482520
.0749326
.34
.35
.0038607
.0089625
.'0186026
.0345478
.0574065
.0852896
.35
.36
.0053748
.0119438
.0237317
.0421896
.0671085
.0954433
.36
.37
.0073409
.0156243
.0297333
.0506270
.0771288
.1050619
•37
.38
.0098436
.0200759
.'0366089
.0597303
.0871963
.1138141
.38
.39
.0129673
.0253527
.0443193
.0693200
.0970105
.1213876
.39
.40
.0167910
.0314831
.0527806
.0791709
.1062557
.1275067
.40
.41
.0213828
.0384631
.0618610
;0890194
.1146168
.1319492
.41
.42
.0267925
.0462491
.0713816
.0985746
.1217976
.1345575
.42
.*3
.0330446
.0547541
.0811200
.1075312
.1275369
.1352485
.43
.44
.0401313
.0638451
.0908171
.1155854
.1316236
.1340168
.44
.45
.0480064
.0733431
.1001876
.1224516
.1339089
.1309333
.45
.46
.0565811
.0830266
.1089327
.1278774
.1343152
.1261395
. 46
.47
.0657210
.0926385
.1167547
.1316595
.1328390
.1198378
*47
.48
.0752460
.1018956
.1233736
.1336547
.1295515
.1122778
.48
.49
.0849343
.1105011
.1285421
.1337888
.1245917
.1037416
.49
.50
.0945276
.1181595
.1320606
.1320606
.1181595
.0945276
.50
102
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=35 r=14
n=35 r =13
n-35 r=i2
n*35 r«l 1
n-=35 r=lG
n=35 r* 9
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.03
.04
.0000000
.0000000
.0000000
.0000001
.0000007
.0000064
.04
.05
.0000000
.0000000
.0000001
.0000006
.0000049
.0000364
.05
.06
.0000000
.0000001
.0000004
.0000034
.0000237
.0001424
.06
.07
.0000000
.0000003
.0000022
.0000145
.0000845
.0004318
.07
.08
.0000002
.0000013
.0000084
.0000485
.0002451
.0010843
.08
.09
.0000007
.0000048
.0000269
.0001361
.0006058
.0023556
.09
.10
.0000025
.0000145
.0000740
.0003328
■.0013179
.0045620
.10
.11
.0000076
.0000392
.0001795
.0007262
.0025853
.0080450
.11
.12
.0000203
.0000949
.0003932
.0014420
.0046527
.0131229
.12
.13
.0000490
.0002089
.0007900
.0026437
.0077847
.0200374
.13
.14
.0001085
.0004245
.0014737
.0045263
.0122339
.0289043
.14
.13
.0002231
.0008046
.0025771*
.0073018
.0182058
.0396793
.15
.15
.0004295
.0014351
.0042586
.0111788
.0258229
.0521425
.16
.17
.0007806
.0024251
.0066925
.0163374
.0350966
.0659055
.17
.18
.0013471
.0039051
.0100551
.0229035
.0459087
.0804384
.18
.19
.0022193
.0060208
.0145078
.0309244
.0580076
.0951138
.19
.20
.0035058
.0089239
.0201758
.0403516
.0710189
.1092597
.20
.21
.0053299
.0127595
.0271303
.0510310
.0844684
.1222161
.21
.22
.0078232
.0176507
.0353711
.0627034
.0978174
.1333872
.22
.23
.0111167
.0236834
.0448148
.0750162
.1105021
.1422852
*23
.24
.0153294
.0308909
.0552903
.0875429
.1219765
.1485611
.24
.25
.0205554
.0392423
.0665411
.0998118
.1317515
.1520210
.25
.26
.0268518
.0486336
.0782368
.1113370
.1394281
.1526284
,26
.27
.0342258
.0588867
.0899896
.1216526
.1447215
.1504939
.27
.28
.0426261
.0697517
.IOI3783
.1303436
.1474744
.1458538
.28
.29
.0519371
.0809177
.1119745
.1370723
.1476599
.1390432
.29
• 30
.0619778
.0920278
.1213700
.1415983
.1453742
.1304641
• 30
.31
.0725062
.1026993
.1292024
.1437898
.1408213
.1205541
,31
.32
.0832275
.1125464
.1351780
.1436266
.1342909
.1097570
.32
.33
.0938094
.1212028
.1390878
.1411951
.1261344
.0984965
• 33
.34
.IO38982
.12834*18
.1408182
.1366765
.1167378
.0871571
.34
.35
.1131393
.1337101
.1403541
.1303287
.1064973
.0760694
.35
.36
.1211978
.1371127
.1377751
.1224668
.0957962
.0655016
.36
.37
.1277780
.1384523
.1332462
.1134392
.0849875
.0556571
•n
.38
.1326405
.1377177
.1270028
.1036075
.0743793
.0466753
.38
.39
.1356162
.1349839
.1193336
.0933250
.0642267
.0386374
.39
.40
.1366145
.1304046
.1105605
.0829204
.054727.4
.0315735
.40
.41
.1356271
.1241996
.1010192
.0726845
.0460217
.0254717
.41
.42
.1327267
.1166386
.0910409
.0628616
.0381959
.0202872
.42
.1280592
.1080245
.0809365
.0536440
.0312881
.0159519
.^3
.44
.1218334
.0986750
.0709836
.0451714
.0252960
.0123826
.44
.45
.1143068
.0889053
.0614176
.0375330
.0201845
.0094884
.45
.46
.1057691
.0790134
.0524266
.0307721
.0158945
.0071764
. 46
.47
.0965259
.0692671
.0441489
.0248925
.0123510
.0053567
.47
.48
.08688I6
.0598957
.0366752
.0198658
.0094693
.0039456
.48
.49
.0771258
.0510832
.0300517
.0156391
.0071621
.0028670
.49
.50
.0675197
.0429671
.0242857
.0121429
.005^428
.0020550
.50
832939 0 - 50 -8
103
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
q
p
| n-35 r- 8
n =35 7
n =35 r- 6
n=35 r* 5
n=35 r=4
n=35 r=8
P
.01
.0000000
.0000001
.0000012
.0000240
.0003834
.0047450
.01
.02
.0000004
.0000049
.0000578
.0005666
.0044785
.0274305
.02
.03
.0000068
.0000626
.0004892
.0031634
.0164971
.0666759
.03
.04
.0000512
.0003513
.0020351
.0097685
.0378136
.1134407
.04
.05
.0002301
.0012495
.0057301
.0217746
.0667285
.1584802
.05
.06
.0007437
.0033288
.0125886
.0394442
.0996709
.1951887
.06
.07
.0019123
.0072588
.0232786
.0618543
.1325449
.2201193
• 07
.08
.0041564
.0136569
.0379095
.0871919
.1617269
.2324824
.08
.09
.0079394
.0229360
.0559779
.1131998
.1846090
.2333253
.09
.10
.0136860
.0351927
.0764529
.1376152
.1997641
.2247346
.10
.11
.0216970
.0501569
.0979552
.1585094
.2068524
.2092030
.11
.12
.0320783
.0672117
.1189724
.1744929
.2063894
.1891903
.12
.13
.0446988
.0854680
.1380638
.1847931
.1994664
.1668614
.13
.14
.0591850
.IO38758
.1540226
.1892279
.1874838
.1439608
.14
.15
.0749498
.1213473
.1659807
.1881116
.1719298
.1217837
.15
.16
.0912494
.1368741
.1734525
.1821251
.1542188
.1012061
.16
.17
.1072579
.1496202
,1763273
.1721784
.1355864
.0827476
.17
.18
.1221472
.1589852
.1748228
.1592830
.1170359
.0666454
.18
.19
•1351617
.1646331
.1694137
.1444474
.0993230
.0529287
.19
.20
.1456797
.1664910
.1607500
.1286000
.0829677
.0414839
.20
.21
.1532552
.1647233
.1495763
.,1125383
.0682836
.0321096
.21
.22
.1576395
.1596868
.1366598
.0969043
.0554144
.0245587
.22
.23
.1587822
.1518785
.1227325
.0821773
.0443735
.0185693
*23
.24
.1568145
.1418798
.1084484
.0686839
.0350806
.OI3886O
.24
.25
.1520209
.1303037
.0943579
.0566147
.0273942
.0102728
.25
.26
.1448014
.1177505
.0808949
.0460479
.0211386
.0075205
,26
.27
.1356303
.1047726
.0683765
.0369739
.0161237
.0054492
.27
.28
.1250175
.0918497
.0570101
.0293195
.0121601
.0039086
.28
.29
.1134720
.0793745
.0469074
.0229685
.0090698
.0027757
.29
.30
.1014721
.0676480
.O38IOO6
.0177803
.0066915
.0019517
.30
.51
.0894434
.0568811
.0305601
.0136042
.0048839
.0013589
,31
.52
.0777445
.0472021
.0242113
.0102899
.0035267
.0009368
.32
.55
.0666593
.0386681
.0189503
.0076949
.0025198
.0006395
.33
.54
.0563959
.0312783
.0146558
.0056899
.0017815
.0004322
.34
.55
.0470906
.0249869
.0112010
.0041604
.0012461
.0002893
.35
.56
.0388158
.0197160
.0084605
.0030082
.0008625
.0001917
.36
.57
.0315891
.0153677
.0063161
.0021509
.0005907
.0001257
• 37
.58
.0253848
.OH8335
.0046604
.0015208
.0004002
.0000816
.38
.59
.0201443
.0090022
.0033987
.0010632
.0002682
.0000524
.39
.40
.0157868
.0067657
.0024497
.0007349
.0001778
.0000333
.40
.41
.0122181
.0050235
.00174*19
.0005022
.0001165
.0000210
.41
.42
.0093385
.0036846
.0012282
.0003392
.0000756
.0000130
.42
.43
.0070486
.0026695
.0008542
.0002264
.0000484
.0000081
.43
.44
.0052532
.0019103
.0005869
.0001493
.0000307
.0000049
.44
.45
.0038656
.0013499
.OOO3983
.0000973
.0000192
.0000029
.45
.46
.0028082
.0009418
.0002669
.0000627
.0000119
.0000017
.46
.47
.0020136
.0006487
.0001766
.OOOO398
.0000073
.0000010
.47
.48
.0014248
.0004410
.0001153
.0000250
.0000043
.0000006
.48
.49
.0009947
.0002958
.0000744
.0000154
,0000026
.0000004
.49
.50
.0006850
.0001957
-1
.0000472
- .
.0000095
.0000015
.0000002
.50
104
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
n=35 r-2
n=35 r* 1
11=35 r=0
11=36 r=33
n=36 r=3 2
n=36 r =3 1
p
.01
.0427050
.2486936
.7034477
.0090000
.0000000
.0000000
.01
.02
.1221905
.3521962
.4930746
.0000000
.0000000
.0000000
.02
.05
.1959868
.3727591
.3443584
.0000000
.0000000
.0000000
.03
.04
.2475071
.3494218
.2396035
.0000000
.0000000
.0000000
.04
.05
.2737385
.3059431
.1660834
.0000000
.0000000
.0000000
.05
.06
.2779960
.2561925
.1146766
.0000000
.0000000
.0000000
.06
.07
.2658584
.2077717
.0788684
.0000000
.0000000
.0000000
.07
.08
.2430498
.1644160
.0540224
.0000000
.0000000
.0000000
.08
.09
1 .2144707
.1275609
.0368510
.0000000
.0000000
.0000000
.09
.10
1 .1838738
.0973449
.0250316
.0000000
.0000000
.0000000
.10
.11
.1538766
.0732354
.0169297
.0000000
.0000000
.0000000
.11
.12
.1261269
.0544077
.0113997
.0000000
.0000000
.0000000
.12
.13
.1015171
.0399637
.0076414
.0000000
.0000000
.0000000
.13
.14
.0803936
.0290499
.0050985
.0000000
.0000000
.0000000
.14
.15
.0627370
.0209124
.OO33858
.0000000
.0000000
.0000000
.15
.16
.0483030
.0149170
.0022376
.0000000
.0000000
.0000000
.16
.17
.0367275
.0105481
.0014714
.0000000
.0000000
.0000000
.17
.18
.0276007
.0073962
.0009627
.0000000
.0000000
.0000000
.18
.19
.0205130
.0051441
.0006266
.0000000
.0000000
.0000000
.19
.20
.0150850
.0035495
.0004056
.0000000
.0000000
.0000000
.20
.21
.0109812
.0024300
.0002612
.0000000
.0000000
.0000000
.21
.22
.0079156
.0016509
.0001672
.0000000
.0000000
.0000000
.22
.23
.0056516
.0011129
.0001065
.0000000
.0000000
.0000000
*23
.24
.0039975
.0007446
.0000674
.0000000
.0000000
.0000000
.24
.25
.0028017
.0004944
.0000424
.0000000
.0000000
.0000000
.25
.26
.0019458
.0003258
.0000265
.0000000
.0000000
.0000000
^26
.27
.0013393
.0002130
.0000165
.0000000
.0000000
.0000000
.27
.28
.0009137
.0001382
.0000102
.0000000
.0000000
.0000000
.28
.29
.0006178
.0000890
.0000062
.0000000
.0000000
.0000000
.29
.30
.0004140
.0000568
.0000038
.0000000
.0000000
.0000000
.30
.31
.0002749
.0000360
.0000023
.0000000
.0000000
.0000000
.31
.32
.0001810
.0000226
.0000014
.0000000
.0000000
. 0000000
.32
.33
.0001181
.0000141
.0000008
.0000000
.0000000
.0000000
.33
.34
.0000763
.0000087
.0000005
.0000000
.0000000
.0000000
.34
.35
.0000489
.0000053
.0000003
.0000000
.0000000
.0000000
.35
.36
.0000310
.0000032
.0000002
.0000000
.0000000
.0000000
.36
.37
.0000195
.0000019
.0000001
.0000000
.0000000
.0000000
.37
.38
.0000121
.0000011
.0000001
.0000000
.0000000
.0000000
.38
.39
.0000075
.0000007
.0000000
.0000000
.0000000
.0000000
.39
.40
.0000046
.0000004
.0000000
.0000000
.0000000
.0000000
.40
.41
.0000028
.0000002
.0000000
.0000000
.0000000
.0000000
.41
.42
.0000017
.0000001
.0000000
.0000000
.0000000
.0000001
.42
• ^3
.0000009
.0000001
.0000000
.0000000
.0000000
.0000001
.43
.44
.0000006
.0000000
.0000000
.0000000
.0000000
.0000002
.44
• ^5
.0000004
.0000000
.0000000
.0000000
.0000000
.0000004
.45
.46
.0000002
.OOOOQOO
.0000000
.0000000
.0000001
.0000006
.46
.47
.0000001
.0000000
.0000000
.0000000
.0000002
.0000010
.47
.48
.0000001
.0000000
.0000000
.0000000
.0000003
.0000019
.48
.49
.0000000
.0000000
.0000000
.0000001
.0000004
.0000033
.49
.50
.0000000
.0000000
.0000000
.0000001
.0000009
.0000055
.50
105
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n =36 r =3 0
n =36 r -29
11=36 r= 28 .
n-36 r *27
n-36 v -215
n =36 r =25
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
,0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.00000QQ
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000060
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17 '
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
. 0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
*23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
,26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.29
• 50
.0000000
.0000000
.0000000
.0000000
.0000002
.0000010
.30
.51
.0000000
.0000000
.0000000
'.0000001
.0000003
.0000020
-31
.52
.0000000
.0000000
.0000000
.0000001
.0000008
.0000037
.32
.55
.0000000
.0000000
.0000000
.0000003
.0000014
.0000067
.33
.54
.0000000
.0000000
.0000001
.0000005
.0000026
.0000121
.34
.55
.0000000
.0000000
.0000002
.0000009
.0000048
.0000210
.35
• 56
.0000000
.0000001
.0000003
.0000018
.0000085
.0000358
.36
.57
.0000000
.0000001
.0000006
.0000033
.0000148
.0000598
•37
.58
.0000000
.0000002
.0000012
.0000057
.0000253
.0000977
.38
.59
.0000001
.0000003
.0000021
.0000100
.0000423
.0001563
:?9
.40
.0000001
.0000007
.0000037
.0000170
.0000693
.0002454
:4o
.41
.0000002
.0000013
.0000063
.0000287
.0001111
.0003782
.41
.42
.0000003
.0000022
.0000110
.0000470
.0001753
.0005724
,42
•ft
.0000007
.0000038
.0000184
.0000759
.0002717
.0008513
.43
.44
.0000012
.0000066
.0000304
.0001204
.0004139
.0012448
.44
.45
.0000021
.0000112
.0000494
.0001878
.0006199
.0017907
.45
.46
.0000037
.0000185
.0000790
.0002882
.0009157
.0025352
.46
.47
.0000063
.0000304
.0001241
.0004354
.0013258
.0035335
.47
.48
.0000105
.0000490
.0001921
.0006477
.0018943
.0048507
.48
.49
.0000174
.0000777
.0002930
.0009489
.0026666
.0065600
.49
.50
.0000283
.0001215
.0004403
.0013700
.0036989
.0087429
.50
106
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=»36 v- 24
11=36 r=:23
n=36 r= 22
n=36 r =.21
n-36 r? 20
n=36 r-19
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
. oooo'ooo
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0O00000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000002
,0000008
.17
.18
.0000000
.0000000
.0000000
.0000001
.0000004
.0000021
.18
.19
.0000000
.0000000
.0000000
.0000002
.0000009
.0000048
.19
.20
.0000000
.0000000
.0000001
.0000004
.0000021
.0000102
.20
.21
.0000000
.0000000
.0000002
.0000010
.0000046
.0000207
.21
.22
.0000000
.0000001
.0000004
.0000021
.0000096
.0000404
.22
.23
.0000000
.0000002
.0000009
.0000043
.0000192
.0000754
*23
.24
.0000001
.0000003
.0000019
.0000088
.0000364
.0001356
.24
.25
..0000002
.0000007
.0000039
.0000169
.0000666
.0002351
.25
.26
.0000003
.0000016
.0000075
.0000316
.0001177
.0003943
,26
.27
.0000007
.0000032
.0000143
.0.000568
.0002015
.0006409
.27
.28
.0000013
.0000062
.0000263
.0000991
.0003344
.0010116
.28
.29
.0000026
.0000116
.0000467
.0001679
.0005394
.0015535
.29
.30
.0000049
.0000211
.0000808
.0002765
.0008468
.0023246
.30
• 51
.0000090
.0000372
.0001359
.0004436
.0012960
.0033938
.31
.52
.0000162
.0000638
.0002228
•0006941
.0019362
.0048403
.32
.55
.0000285
.0001068
.0003562
.0010608
.0028266
.0067516
.33
.54
.0000487
.0001745
.0005565
.0015846
.0040371
.0092198
.34
.55
.0000813
.0002788
.0008504
.0023165
.0056463
.0123365
.35
.56
.0001327
.0004356
.0012721
.0033170
.0077397
.0161874
.36
.57
.0002120
.0006566
.0018645
.0046562
.0104058
.0208446
.37
.58
.0003319
.0009997
.0026796
.0064125
.0137319
.0263584
.38
.59
.0005093
.0014707
.0037792
.0086696
.0177975
.0327497
.39
.40
.0007669
.0021238
.0052335
.0115139
.0226678
.0400022
.40
.41
.0011338
.0030121
.0071209
.0150291
.0283857
.0480562
.41
.42
.0016467
.0041981
.0095244
.0192907
.0349642
.0568048
.42
• ^5
.0023509
.0057532
.0125289
.0243586
.0423797
.0660914
.43
.44
.0033008
.0077556
.0162163
.0302704
.0505653
.0757128
.44
.^5
.0045598
.0102888
.0206592
.0370335
.0594079
.0854231
.45
.46
.0062002
.0134372
.0259147
.0446182
.0687460
.0949434
.46
.47
.0083014
.0172822
.0320166
.0529523
.0783722
.1039731
.47
.48
.0109476
.0218954
.0389686
.0619167
.0880378
.1122050
.48
.49
.0142246
.0273327
.0467366
.0713447
.0974620
.1193412
.49
.50
.0182143
.0336264
.0552434
.0810236
.1063436
.1251100
.50
107
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n=3o r=l8
n=36 r =17
n=36 r- 16
n*36 r-15
n=36 r=l4
n=36 r= 15
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000003
.0000019
.08
.09
.0000000
.0000000
.0000000
.0000002
.0000011
.0000067
.09
.10
.0000000
.0000000
.0000001
.0000006
.0000037
.0000205
.10
.11
.0000000
.0000001
.0000003
.0000020
.0000111
.0000547
.11
.12
.0000000
.0000002
.0000010
.0000059
.0000293
.0001307
.12
.13
.0000001
.0000005
.0000030
.0000153
.0000698
.0002845
.13
.14
.0000003
.0000015
.0000078
.0000365
.0001.528
.0005713
.14
.15
.0000008
.0000038
.0000186
.0000804
.0003103
.0010705
.15
.16
.0000019
.0000092
.0000412
.0001650
.0005904
.0018869
.16
.17
.0000045
.0000206
.0000856
.0003185
.0010602
.0031505
.17
.18
.0000100
.0000433
.0001676
.0005820
.0018075
.0050121
.18
.19
.0000213
.0000859
.0003116
.0010120
.0029416
.0076333
.19
.20
•0000429
.0001624
.0005521
.0016828
.0045895
.0111743
.20
.21
.0000823
.0002931
.0009372
.0026863
.0068901
.0157773
.21
.22
.0001511
.0005074
.0015291
.0041307
.0099852
.0215492
.22
.23
.0002666
.0008454
.0024057
.0061364
.0140071
.0285436
*23
.24
.0004532
.0013596
.0036597
.0088297
.0190641
.0367468
.24
.23
.0007*146
.0021160
.0053958
.0123332
.0252272
.0460669
.25
.26
.0011845
.0031939
.0077268
.0167555
.0325151
.05633.05
.26
.27
.0018289
.0046848
.0107664
.0221783
.0408842
.0672845
.27
.28
.0027459
.0066892
.0146208
.0286447
.0502212
.0786072
.28
.29
.0040148
.0093121
.0193788
.0361482
.0603415
.0899241
.29
.30
.0057253
.0126560
.0251010
.0446241
.0709929
.1008304
.30
• 51
.0079735
.0168133
.0318097
.0539446
.0818661
.1109153
.31
.52
.0108571
.0218570
.0394792
.0639188
.0926096
.1197885
.32
.0144694
.0278311
.0480297
.0742971
.1028492
.1271048
.33
.34
.0188914
.0347415
.0573234
.0847809
.1122100
.1325858
.34
.35
.0241834
.0425484
.0671656
.0950370
.1203390
.1360355
• 35
.3 6
.0303765
.0511604
.0773091
.1047149
.1269272
.1373512
.36
.37
.0374640
.0604327
.0874640
.1134669
.1317275
.1365260
• 37
.38
.0453950
.0701674
.0973110
.1209682
.1345698
.1336460
.38
• 39
.0540696
.0801193
.1065176
.1269367
.1353696
.1288803
*? 9
.40
.0633367
.0900048
.1147561
.1311498
.1341305
.1224670
.40
.41
•0729959
.0995144
.1217231
.1334571
.1309418
.1146957
.41
.42
.0828026
.1083283
.1271568
.1337885
.1259597
.1058876
.42
.43
.0924768
.1161336
.1308529
.1321571
.1194443
.0963767
.43
.44
.1017152
.1226422
.1326765
.1286561
.1116437
.0864908
.44
.45
.1102064
.1276074
.1325699
.1234513
.1028762
.0765358
.45
.46
.1176473
.1368388
.1305544
.1167691
.0934615
.0667834
.46
.47
.1237600
.1322139
.1267284
.1088812
.0837142
.0574616
.47
.48
.1283085
.1316851
.1212600
.1000877
.0739283
.0487*199
.48
.49
.1311130
.1292822
.1143752
.0906998
.0643650
.0407777
.49
.50
.1320606
.1251100
.1063436
.0810236
.0552434
.0336264
.50
108
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=36 r-12
n=36 r=ll
n=36 r=lo
n=36 r= 9
n=36 r= 8
n-36 r» 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000005
.0000059
.02
.03
.0000000
.0000000
.0000001
.0000008
.0000085
.0000754
.03
.04
.0000000
.0000001
.0000009
.0000082
.0000633
.0004186
.04
.05
.0000001
.0000008
.0000066
.0000460
.0002811
.0014735
.05
.06
.0000006
.0000046
.0000308
.0001785
.0008988
.0038845
.06
.07
.0000030
.0000194
.0001088
.0005354
.0022866
.0083802
• 07
.08
.0000116
.0000642
.0003123
.0013300
.0049165
•0155970
.08
.09
.0000367
.0001785
.0007632
.0028582
.0092891
.0259097
.09
.10
.0000999
.0004313
.0016423
.0054744
.OI58367
.0393186
.10
.11
.0002396
.0009307
.0031858
.0095467
.0248277
.0554146
.11
.12
.0005191
.0018272
.0056691
.0153976
.0362943
.0734230
.12
.13
.0010310
.0033120
.0093775
.0232434
.0499988
.0923055
.13
.14
.0019010
.0056054
.0145678
.0331436
.0654417
.1108963
.14
.15
.0032858
.0089374
.0214268
.0449699
.0819094
.1280423
.15
.16
.0053658
.0135219
.0300340
.0583996
.0985494
.1427266
.16
.17
.0083321
.0195265
.0403342
.0729353
.1144595
.1541604
.17
.18
.0123679
.0270444
.0521241
.0879459
.1287780
.1618360
.18
.19
.0176269
.0360702
.0650579
.1027229
.1407612
.1655414
.19
.20
.0242109
.0464851
.0786570
.1165437
.1498420
.1653428
.20
.21
.0321495
.0580529
.0923954
.1287343
.1556635
.1615424
.21
.22
.0413843
.0704284
.1056428
.1387227
.1580899
.1546209
.22
.23
.0517611
.0831780
.1178122
.1460795
.1571943
.1451750
*23
.24
.0630309
.0958070
.1283568
.1505419
.1532302
.1338562
.24
.25
.0748589
.1077967
.1368188
.1520210
.1465917
.1213172
.25
.26
.0868428
.1186407
.1428602
.150593^
.1377681
.1081681
,26
.27
.0985386
.1278812
.1462800
.1464808
.1272987
.0949456
.27
.28
.1094886
.1351402
.1470206
.1400197
.1157305
.0820946
.28
.29
.H92529
.1401427
.1451611
.1316275
.1035837
.0699591
.29
.30
.1274385
.1427311
.1409012
.1217664
.0913249
.0587838
.30
.31
.1337245
.1428695
.1345385
.1109098
.0793491
.0487215
.31
.32
.1378815
.1406392
.1264401
.0995129
.0679710
.0398450
.32
.33
.1397833
.1362251
.1170139
.0879902
.0574222
.0321612
• 33
.34
.1394100
.1298973
.10668o4
.0 766983
.0478559
.0256267
.34
.35
.1368452
.1219878
.0958475
.0659268
.03935^3
.0201618
• 35
• 36
.1322640
.1128654
.0848902
.0558947
.0319399
.0156640
.36
.37
.1259176
.1029121
.0741352
.0467520
.0255872
.0120186
• 37
.38
.1181126
.0925009
.0638517
.0385849
.0202353
.0091078
.38
.39
.1091902
.0819767
.0542469
.0314251
.0157988
.0068169
.39
.40
.0995044
.0716432
.0454659
.0252588
.0121784
.0050393
.40
.41
.0894019
.0617528
.0375962
.0200377
.0092683
.0036793
.41
.42
.0792056
.0525019
.0306743
.0156888
.0069638
.0026530
,42
-*3
.0692007
.0440310
.0246935
.0121235
.0051656
.0018889
.43
.44
.0596262
.0364262
.0196141
.0092457
.0037824
.0013279
.44
.45
.0506696
.0297261
.0153713
.0069581
.0027336
.0009216
.45
.46
.0424655
.0239285
.0118841
.0051671
.0019496
.0006314
.46
.47
.0350984
.0189980
.0090636
.0037855
.0013721
.0004268
.47
.48
.0286067
.0148755
.0068179
.0027356
.0009526
.0002846
.48
.49
.0229895
.0114854
.0050575
.0019496
.0006523
.0001873
.49
.50
.0182143
.0087429
.0036989
.0013700
.0004403
.0001215
• 50
109
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
n=36 r= 6
n=36 r= 5
n-36 r= 4
n=36 r= 3
11=36 r= 2
n=36 r= 1
p
.01
.0000014
.0000276
.0004271
.0051246
.0447648
.2532412
.01
.02
.0000680
.0006449
.0049375
.0293257
.1267906
.3550138
.02
.03
.0005694
.0035634
.0180025
.0705552
.2012900
.3719070
.03
.04
.0023^44
.0108904
.0408386
.1188034
.2515837
.3450290
.04
.05
.0065323
.0240223
.0713161
.1642431
.2753488
.2989501
.05
.06
.0141999
.0430578
.1054019
.2001571
.2766879
.2477015
.06
.07
.0259789
.0668026
.1386752
.2233210
.2617923
.1987485
.07
.08
.0418521
.0931547
.1673874
.2333278
.2367590
.1555846
.08
.09
.0611279
.1196266
.1889935
.2316283
.2066488
.1193971
.09
.10
.0825692
.1438301
.2022612
.2206485
.1752209
.0901136
.10
.11
.1046162
.I63827I
.2071110
.2031171
.1450061
.0670417
.11
.12
.1256349
.1783204
.2043256
.1816227
.1175205
.0492468
.12
.13
.1441386
.1867006
.1952278
.1583666
.0935151
.0357619
.13
.14
.1589514
.1889837
.1813906
.1350614
.0732055
.0256967
.14
.15
.1693004
.1856842
.1644080
.1129267
.0564633
.0182834
.15
.15 .
.1748401
.1776501
.1457368
.0927416
.0429612
.0128883
.16
.17 !
.1756220
.1659578
.1266038
.0749242
.0322770
.0090050
.17
.18
.1720256
.1516786
.1079656
.0596173
.0239639
.OO62382
.18
.19
.1646701
.1358738
.0905080
.0467697
.0175930
.0042858
.19
.20
.1543200
.1.194735
.0746710
.0362041
.0127779
.0029207
.20
.21
.1417983
.1032449
.0606871
.0276726
.0091854
.0019746
.21
.22
.1279136
.0877765
.0486261
.0208973
.0065373
.0013245
.22
.23
.1134048
.0734824
.0384386
.0155982
.0046077
.0008814
i 23
.24
.0989049
.0606192
.0299931
.0115128
.0032168
.0005821
.24
.23
.0849221
.0493095
.0231139
.0084050
.0022249
.0003814
.25
,26
.0718347
.0395714
.0175979
.0060711
.0015246
.0002480
,26
.27
.0598978
.0313444
.0132416
.0043395
.0010352
.0001600
.27
.28
.0492567
.0245149
.0098497
.0030701
.0006965
.0001024
.28
.29
.0399651
.0189378
.0072446
.0021499
.0004644
.0000650
.29
• 30
.0320045
.0144536
.0052696
.0014904
.0003068
.0000409
.30
.31
.0253038
.0109009
.0037912
.0010228
.0002009
.0000255
-31
.32
.0197565
.0081256
.0026980
.0006949
.0001303
.0000159
.32
.33
.0152360
.0059871
.0018994
.0004674
.OOOO837
.0000098
• 33
• 34
.0116074
.0043610
.0013227
.0003113
.0000533*
.0000059
.34
.35
.0087368
.0031404
.0009113
.0002051
.0000336
.0000036
• 35
.36
.0064976
.0022358
.0006210
.0001339
.0000210
.0000021
.36
.37
.0047749
.0015736
.0004187
.0000864
,0000130
.0000012
• 37
.38
.0034673
.0010949
.0002792
.0000552
.0000079
.0000008
.38
.39
.0024878
.0007532
.0001840
.0000349
.0000049
.0000004
.39
.40
.0017638
.0005120
.0001200
.0000219
.0000028
.0000003
.40
.41
.0012^54
.0003441
.0000773
.0000135
.0000018
.0000001
.41
.42
.0008548
.0002285
.0000493
.0000082
.0000010
.0000001
,42
*??
.0005842
.0001499
. 00.00311
.0000050
.0000006
.0000000
.43
.44
.000394^
.0000971
.0000194
.0000029
.0000004
.0000000
.44
• 45
.0002629
.0000622
.0000118
.0000018
.0000002
.0000000
.45
.46
.0001730
.0000393
.0000072
.0000010
.0000001
.0000000
.46
.47
.0001123
.0000245
.0000043
.0000006
.0000001
.0000000
.47
.48
.00.00720
.0000151
.0000025
.0000004
.0000000
.0000000
.48
.49
.0000454
.0000092
.0000015
.0000002
.0000000
.0000000
.49
.50
.0000283
.0000055
.0000009
.0000001
.0000000
.0000000
.50
110
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n-3 S - r» 0
n =37 r =34
n =37 r -33
n =37 r-32
n =37 r =31
n =37 r =30
p
.01
.6964132
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.4832131
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.3340277
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.2300194
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
•1577792
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.1077960
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0733476
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0497006
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0335344
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0225284
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0150675
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.OIOO317
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0066480
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0043847
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0028779
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0018796
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0012213
.0000000
.0000000
.0006000
.0000000
.0000000
.17
.18
.OOO7894
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0005075
.0000000
.0000000
.0000000
.0000000
.00000 00
.19
.20
.0003245
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0002063
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0001304
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000820
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.0000512
.0006000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000318
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0Q001Q6
.0000600
.0000000
.0000000
.0000000
.0000000
,26
.27
.0000120
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000073
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000044
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.0000027
.0000000
.0000000
.0000000
.0000000
.0000000
.30
• 31
.0000016
.0000000
.0000000
.0000000
.0000000
.0000000
.31
• 32
.0000009
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000005
.0000000
.0000000
.0000000
.0000000
.0000000
.33
.34
.0000003
.0000000
.0000000
.0000000
.0000000
.0000000
.34
.35
.0000002
.0000000
.0000000
.0000000
.0000000
.0000000
.35
«3 6
.0000001
.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.0000001
.0000000
.0000000
.0000000
.0000000
.0000001
.37
.38
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.38
.39
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.39
.40
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.40
.41
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.41
.42
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.42
.43
.0000000
.0000000
.0000000
.0000001
.0000003
.0000020
.43
.44
.0000000
.0000000
.0000000
.0000001
.0000006
.0000036
.44
-*5
.0000000
.0000000
.0000000
.0000002
.0000011
.0000062
.45
.46
.0000000
.0000000
.0000000
.0000004
.0000020
.0000105
.46
.47
.0000000
.0000000
.0000001
.0000006
.0000035
.0000176
.47
.48
.0000000
.0000000
.0000002
.0000010
.0000060
.0000290
.48
.49
.0000000
.0000000
.0000003
.0000018
.0000102
.0000470
.49
.50
.0000000
.0000001
.0000004
.0000032
.0000169
.0000749
.50
111
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q *- r
p
n=37 r=29
n=37 r=28
n=37 r=27
n=37 r=26
n=37 r=25
n-37 r-24
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
,0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.o’oooooo
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.00000O0
.0000000
.0000001
*23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.24
.23
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.26
.27
.0000000
.0000000
.0000000
.0000001
.0000002
.0000014
.27
.28
.0000000
.0000000
.0000000
.0000001
.0000006
.0000026
.28
.29
.0000000
.0000000
.0000000
.0000002
.0000012
.0000051
.29
.30
.0000000
.0000000
.0000001
.0000004
.0000022
.0000097
.30
.31
.0000000
.0000000
.0000002
.0000008
.0000042
.0000178
.31
.32
.0000000
.0000001
.0000003
.0000017
.0000077
.0000314
.32
.33
.0000000
.0000001
.0000007
.0000031
.0000139
.0000544
.33
.34
.0000000
.0000003
.0000012
.0000058
.0000245
.0000915
.34
.35
.0000001
.0000004
.0000023
.0000105
.0000421
.0001504
.35
• 36
.0000002
.0000008
.0000042
.0000184
.0000707
.0002417
.36
.37
.0000002
.0000016
.0000076
.0000314
.0001161
.0003802
.37
.38
.0000006
.0000028
.0000132
.0000528
.0001867
.0005856
.38
.39
.0000010
.0000052
.0000226
.0000867
.0002940
.0008843
.39
.40
,0000019
.0000090
.0000379
.0001397
.0004540
.0013097
.40
.41
.0000034
.0000155
.0000624
.0002207
.0006880
.0019039
.41
.42
.0000059
.0000261
.0001009
.0003421
.0010236
.0027183
.42
• *3
.0000101
.0000432
.0001601
.0005209
.0014961
.0038139
.43
.44
.0000171
.0000700
..0002495
.0007795
.0021494
.0052609
.44
.45
.0000284
.0001117
.0003822
.0011468
.0030368
.0071379
.45
.46
.0000463
.0001753
.000575.9
.0016596
.0042211
.0095292
.46
.47
.0000744
.0002705
.'0008538
.0023634
.0057745
.0125223
.47
.48
.0001177
.0004108
.0012460
.0033134
.0077773
.0162025
.48
.49
.0001832
.0006144
.0017905
.0045744
.0103157
.0206476
.49
.50
.0002809
.0009052
.0025344
.0062209
.0134786
.0259204
.50
113
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
| n=37 r=23
n=37 r=22
n=37 r=21
n*37 r=20
n=37 r=19
n=37 r =18
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000600
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.OOOO0OO
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
..0000000
.0000000
.0000000
.0006000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
. 60066.00
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0006000
.08
.09
| .0000000
.0000000
.0000000
.0000000
.00000.00
.0000000
.09
.10
| .0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
• 1 3
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.13
.i4
.0000000
.0000000
.0000000
.0000000'
.0000001
.0000004
.14
.15
' .0000000
.0000000
.0000000
.0000000
.0000002
.0000012
.15
.16
.0000000
.0000000
.0000000
.0000001
.0000006
.0000030
.16
.17
.0000000
.0000000
.0000001
.0000002
.0060015
.0000072
.17
.18
.0000000
.0000000
.0000001
.0000007
.0000036
.0000160
.18
.19
- .0000000
.0000001
.0000003
.0000016
.0006079
.0000336
.19
.20
1 .0000000
.0000002
.0000007
.0000038
.0006167
.0000667
.20
.21
1 .0000001
.0000003
.0000017
.0000081
.0000336
.0001265
.21
.22
.0000002
.0000007
.0000038
.0000164
.0000647
,0002295
.22
*23
.0000003
.0000017
.0000077
.0000321
.0001194
.0003997
.23
.24
.0000007
.0000035
.0000154
.0000602
.000211$
.0006708
.24
.23
.0000015
.0000071
.0000294
.0001087
.0003625
.0010874
.25
.26
.0000031
.0000138
.0000540
.0001896
.0005998
.0017069
,26
.27
.0000062
.0000258
.0000958
. 0003.201
.0009617
.0026000
.27
.28
.0000119
.0000466
.0001650
.0005240
.0014973
.0038500
.28
.29
.0000219
.0000818
.0002756
.0008335
.0022673
.0055510
.29
• 50
.0000390
.0001395
.0004476
.0012902
.0033448
.0078045
.30
.31
.0000677
.0002313
.0007079
.0019463
.0048135
.0107138
.31
.32
.0001147
.0003736
.0010916
.0028655
.0067656
.0143771
.32
.33
.0001891
.0005887
.0016435
.0041218
.0092985
.0188788
.33
.34
.0003044
.0009061
.0024184
.6057992
.0125681
.0242805
.34
.35
.0004788
. .0013636
.0034819
.0079879
; 0164829
,0306112
.35
• 36
.0007368
.0020083
.0049091
.0107809
.0212955
.637-8587
*36
.37
.0011098
.0028975
.0067836
.01:42681
.0269938
.0459624
.37
.38
.0016381
.0040982
.0091938
.0185299
,0335924
.0548085
.38
.39
.0023710
.0056865
.0122294
.0236289
.0.410644
.0642290
.39
.40
.0033677
.0077457
.0159754
.0296016
.0493359
.0740040
.40
.41
.0046966
.0103633
.0205053
.0364506
.0.582815
.0838685
.41
.42
.0064352
.0136262
.0258736
.0441372
.0677239
.0935234
.42
.43
.0086667
.0176157
.0321077
.0525757
.0774371
.1026493
.43
.44
.0114783
.0224001
.0392002
.0616302
.0871539
.1109231
.44
.45
.0149554
.0280277
.0471019
.0711148
.0965756
.1180368
.45
.46
.0191769
.0345183
.0557170
.0807968
.1653872
.1237153
.46
.47
.0242074
•0418564
.0648996
.0904046
.1132730
.1277333
.47
.48
.0300905
.0499837
.0744548
.0996381
.1199347
.1299293
.48
•
.*=-
vo
.0368405
.0587946
.0841422
.1081828
.1251094
.1302159
.49
.50
.0444349
.0681335
.0936836
.1157268
.1285853
.1285853
.50
US
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
| n-37 r-17
n=37 r-16
n=37 r=15
n=37 r= 14
11^37 r=!3
n=37 r-12
P
.01
.0000000
.0000000
.0000000
.onooooo
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.06
.07
.OOOOOOQ
.0000000
.0000000
.0000001
.0000006
.0000042
.07
.08
.0000000
.0000000
.0000001
.0000004
.0000026
.0000158
.08
.09
.0000000
.0000000
.0000003
.0000016
.0000094
.0000495
.09
.10
.0000000
.0000002
.0000009
.0000054
.0000284
.0001330
.10
.11
.0000001
.0000005
.0000030
.0000159
.0000750
.0003157
.11
.12
.0000003
.0000016
.0000087
.0000415
.0001773
.0006760
.12
.13
.0000008
.0000046
.0000224
.0000977
.0003815
.0013276
.13
.14
.0000024
.0000118
.0000528
.0002114
.0007574
.0024197
.14
.15
.0000061
.0000279
.0001148
.0004244
.0014028
.0041335
.15
.16
.0000144
.0000610
.0002331
.0007978
.0024435
.0066708
.16
.17
.0000317
.0001252
.0004445
.0014156
.0040314
.0102351
.17
.18
.0000657
.0002*122
.0008025
.0023844
.0063361
.0150097
.18
.19
.0001288
.0004447
.0013786
.0038330
.0095321
.0211312
.19
.20
.0002404
.0007783
.0022641
.0059064
.0137816
.0286658
.20
.21
.0004284
.0013045
.0035691
.0087564
.0192155
.0375892
.21
.22
.0007322
.0021015
.0054186
.0125293
.0259129
.0*177740
.22
.23
.0012043
.0032638
.0079467
.0173504
.0338837
.0589870
.23
.24
.0019116
.0049005
.0112860
.0233079
.0430550
.0708972
.24
.25
.0029359
.0071302
.0155567
.0304371
.0532649
.0830933
.25
.26
.0043725
.0100742
.0208530
.0387071
.0642637
.0951103
.26
.27
.0063269
.0138475
.0272289
.0480123
.0757231
.1064611
.27
.28
.0089100
.0185475
.0346861
.0581694
.0872539
.1166711
.28
.29
.0122315
.0242419
.0431642
.0689205
.0984295
.1253109
.29
• 50
.0163895
.0309580
.0535247
.0799541
.1088129
.1320262
.30
.51
.0214622
.0386715
.0626003
.0908713
.1179862
.1365594
• 31
.52
.0274961
.0472999
.0730999
.1013068
.1255783
.1387640
.32
.55
.0344966
.0566980
.0837192
.1108536
.1312887
.1386091
.33
.5*
.0424193
.0666590
.0941068
.1191378
.1349060
.1361757
.34
.55
.0511643
.0769206
.1038927
.1258329
.1363188
.1316451
• 35
.56
.0605739
.0871752
.1127113
.1306798
.1355198
.1252806
.36
.37
.0704343
.0970851
.1202232
.1335030
.1326009
.1174056
•37
.58
.0804820
.1063007
.1261368
.1342188
.1277433
.IO83801
.38
.59
.0904147
.1144810
.1302255
.1328388
.1212012
.0985769
♦39
.40
.0999053
.1213136
.1323421
.1294651
.1132820
.0883599
.40
.41
.1086200
.1265340
.1324259
.1242808
.1043253
.0780658
.41
.42
.1162362
.1299421
.1305046
.1175353
.0946811
.0679901
.42
.*5
.1224629
.1314137
.1266906
.1095252
.0846910
.0583777
.43
.44
.1270573
.1309076
.1211706
.1005765
.0746703
.0494182
.44
.45
.1298406
.1284665
.1141925
.0910230
.0648960
.0412451
• 45
. 46
.1307080
.1242132
.1060476
.0811895
.0555972
.0339385
.46
.47
.1296357
.1183402
.0970528
.0713754
.0469509
.0275312
.47
.48
.1266810
.1110973
.0875312
.0618427
.0390811
.0220157
.48
.49
.1219778
.1027742
.0777957
.0528073
.0320615
.0173525
.49
.50
.1157268
.0936836
.0681335
.0444349
.0259204
.0134786
• 50
114
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
l?)p r q !
n-r
p
n-37 r = H
n=37 r=10
n=37 r= 9
n=37 r- 8
■#
n=37 r= 7
n-37 r =6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000001
.0000017
.01
.02
.0000000
.0000000
.0000000
.0000006
.0000072
.0000795
.02
.03
.0000000
.0000001
.0000010
.0000105
.0000903
.0006592
.03
.04
.0000001
.0000012
.0000104
.0000775
.0004957
.0026863
.04
• 05
.0000011
.0000086
.0000577
.0003408
.0017264
.0074069
.05
.06
.0000062
.0000396
.0002217
.0010780
.0045034
.0159313
.06
.07
.0000256
.0001387
.0006580
.0027131
.0096122
.0288364
.07
.08
.0000841
.0003937
.0016169
.0057709
.0176975
.0459563
.08
.09
.0002311
.0009517
.0034370
.0107849
.0290794
.0663928
.09
.10
.0005524
.0020256
.0065106
.0181849
.0436437
.0886952
.10
.11
.0011787
.OO38856
.0112276
.0281922
.0608268
.1111294
.11
.12
.0022883
.0068365
.0179052
.0407498
.0796884
.1319571
.12
.13
.0041005
.0111801
.0267216
.0554986
.0990438
.1496717
.13
.14
.0068601
.0171684
.0376653
.0718054
.1176240
.1631559
.14
.13
.0108108
.0249583
.0505108
.0888293
.1342310
.1717580
.15
.16
.0161638
.0345726
.0648235
.1056177
.1478648
.1752913
.16
.17
.0230638
.0458764
.0799944
.1212087
.1578089
.1739790
.17
.18
.0315587
.0585720
.0952958
.1347284
.1636701
.I683632
.18
.19
.0415778
.0722142
.1099502
.1454695
.1653758
.1591988
.19
.20
.0529215
.0862423
.1232034
.1529422
.1631382
.1473507
.20
.21
.0652648
.1000266
.1343895
.1568980
.1573961
.1337021
.21
.22
.0781756
.1129204
.1429835
.1573267
.1487453
.1190834
.22
.23
.0911438
.1243137
.1486359
.1544299
.1378678
.1042226
*23
.24
.1036189
.1336812
.1511872
.1485804
.1254679
.0897163
.24
.25
.1150523
.1406194
.1506636
.1402731
.1122184
.0760189
.25
.26
.1249377
.1448709
.1472588
.1300721
.0987214
.0634463
.26
.27
.1328489
.1463342
.1413016
.1185654
.0854827
.0521884
.27
.28
.1384667
.1450603
.1332187
.1063125
.0729000
.0423290
.28
.29
.1415980
.1412363
.1234949
.0938325
.0612608
.0338672
.29
.30
.1421821
.1351608
.1126340
.0815625
.0507500
.0267393
.30
.31
.1402869
.1272136
.1011260
.0698546
.0414620
.0208389
-31
.32
.1360954
.1178234
.0894195
.0589707
.0334167
.0160346
.32
.33
.1298854
.1074360
.0779028
.0490861
.0265759
.0121838
• 33
.34
.1220035
.0964865
.0668919
.0402980
.0208601
.0093 436
.34
.35
.1128387
.0853753
.0566264
.0326370
.0161630
.0067781
.35
• 36
.1027943
.0744518
.0472710
.0260805
.0123641
.0049634
• 36
.37
.0922646
.0640034
.0389210
.0205668
.0093385
.0035905
.37
.38
.0816142
.0542504
.0316120
.0160069
.0069643
.0025659
.38
.39
.0711621
.0453464
.0253308
.0122959
.0051285
.0018114
•39
.40
.0611723
.0373830
.0200267
.0093227
.0037291
.0012631
.40
.41
.0518485
.0303973
.0156222
.0069768
.0026773
.0008700
.41
.42
.0433343
.0243804
.0120243
.0051533
.0018977
.0005917
,42
.^3
.0357159
.0192884
.0091316
.0037566
.0013279
.0003975
.43
.44
.0290289
.0150520
.0068419
.0027024
.0009172
.0002635
.44
.45
.0232664
.0115853
.0050571
.0019182
.0006252
.0001726
.45
.46
.OI83881
.0087943
.0036870
.0013433
.0004205
.0001114
.46
.47
.ci43289
.OO65829
.0026512
.0009278
.0002790
.0000710
.47
.48
.0110079
.0048584
.0018797
.0006320
.0001826
.0000446
.48
.49
.0083357
.0035346
.0013139
.0004245
.0001177
.0000277
.49
.50
.0062209
.0025344
.0009052
.0002809
.0000749
.0000169
.50
115
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n -37 r= 5
n-37 r* 4
n -37 r= 3
n =37 r= 2
n =37 r- 1
n =37 r= 0
p
.01
.0000316
.0004740
.0055210
.0468496
.2576729
.6894491
.01
.02
.0007308
.0054252
.0312750
.1313551
•3575777
.4735489
.02
.03
.0039966
.0195791
.0744772
.2064085
.3707707
.3240068
.03
.04
.0120882
.0439573
.1241146
.2553215
.3404286
.2208186
.04
.05
.0263869
.0759625
.1697984
.2765288
.2918915
.1498903
.05
.06
.0467985
.1110872
.2047490
.2749487
.2393071
.1013283
.06
.07
.0718338
.1446003
.2260141
.2573792
.1899704
.0682133
.07
.08
.0990933
.1726626
.2336023
.2302651
.1471138
.0457246
.08
.09
.1258697
.1928305
.2293802
.1987962
.1116694
.0395163
.09
.10
.1496733
.2040998
.2161058
.1667102
.0833550
.0202756
.10
.11
.1685883
.2066717
.1967249
.1364300
.0613246
.0134100
.11
.12
.1814411
.2016012
.1739304
.1093278
.0445409
.0088279
.12
.13
.1878091
.1904359
.1499359
.0860072
.0319770
.0057838
.13
.14
.1879207
.1749045
.1264016
.0665542
.0227130
.0037709
.14
.15
.1824928
.1566858
.1044572
.0507363
.0159726
.0024462
.15
.16
.1725524
.1372576
.0847767
.0381495
.0111270
.0015788
.16
.17
.1592676
.1178183
.0676742
.0283208
.0076817
.0010137
.17
.18
.1438102
.0992629
.0531997
.0207733
.0052574
.0006473
.18
.19
.1272543
.0821978
.0412261
.0150646
.0035679
.0004111
.19
.20
.1105130
.0669776
.0315189
.0108064
.0024015
.0002596
.20
.21
.0943078
.0537540
.0237903
.0076712
.0016032
.0001630
.21
.22
.0791634
.0425258
.0177381
.0053905
.0010618
.0001017
.22
.23
.0654224
.0331853
,0130704
.0037506
.0006976
.0000631
.23
.24
.0532691
. 02-55584
.0095217
.0025845
.0004547
.0000389
.24
.25
.0427607
.0194367
.0068600
.0017640
.0002940
.0000238
.25
.26
.0338583
.0146009
.0048890
.0011927
.0001886
.0000145
.26
.27
.0264566
.OIO8380
.0034474
.0007989
.0001200
.0000088
.27
.28
.0204086
.0079514
.0024055
.0005302
.0000757
.0000053
.28
.29
.0155468
.0057671
.0016612
.0003485
.0000475
.0000031
.29
.30
.0116984
.0041358
.OOII353
.0002271
.0000294
.0000019
.30
.31
.0086969
.0029329
.0007681
.0001465
.0000181
.0000011
.51
.32
.OO63888
.0020570
.0005142
.0000937
.0000111
.0000006
.52
.33
.0046382
.0014268
.0003408
.0000593
.0000067
.0000004
.34
.0033280
.0009788
.0002236
.0000372
.0000040
.0000002
.34
.35
.0023602
.0006641
.0001451
.0000231
.0000024
.0000001
.35
.36
.0016545
.0004456
.0000932
.0000142
.0000014
.0000001
.36
.37
.0011462
.0002958
.0000592
.0000086
.0000009
.0000000
.37
.38
.0007849
.0001941
.0000372
.0000052
.0000005
.0000000
.38
.39
.0005312
.0001258
.0000232
.0000031
.0000003
.0000000
.39
.40
.0003552
.0000808
.0000142
.0000018
.0000002
.0000000
.40
.41
.0002347
.0000512
.0000086
.0000011
.0000001
.0000000
.41
.42
.0001533
.0000320
.0000052
.0000007
.0000000
.0000000
.42
.43
.0000988
.0000198
.0000031
.0000004
.0000000
.0000000
.43
.44
.0000629
.0000122
.0000018
.0000002
.0000000
.0000000
.44
-*5
.0000395
.0000073
.0000011
.0000001
.0000000
.0000000
.43
.46
.0000246
.0000043
.0000006
.0000001
.0000000
.0000000
.46
.47
.0000151
.0000025
.0000004
.0000000
.0000000
.0000000
.47
.48
.0000091
.0000015
.0000002
.0000000
.0000000
.0000000
.48
.49
.0000054
.0000009
.0000001
.0000000
.0000000
.0000000
.49
.50
.0000032
.0000004
.0000001
.0000000
.0000000
.0000000
.50
116
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
11=38 r=34
n=38 r =33
11=38 r*32
11=38 r=31
n=3S r=30
11=38 r - 29
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.OOOOOQO
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
. 0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
:ooooooq
.0000000
.22
• 23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
*23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
• 31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.34
.35
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.35
• 36
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.36
.37
.0000000
.0000000
.0000000
.0000000
.0000002
.0000007
.37
.38
.0000000
.0000000
.0000000
.0000000
.0000003
.0000014
.38
.39
.0000000
.0000000
.0000000
.0000001
.0000005
.0000026
.39
.40
.0000000
.0000000
.0000000
.0000002
.0000009
.0000048
.40
.41
.0000000
.0000000
.0000001
.0000003
.0000017
.0000083
.41
.42
.0000000
.0000000
.0000001
.0000006
.0000031
.0000144
.42
.43
.0000000
.0000000
.0000002
.0000011
.0000055
.0000243
.43
.44
.0000000
.0000001
.0000003
.0000019
.0000095
.0000404
.44
.45
.0000000
.0000001
.0000006
.0000034
.0000162
.0000659
.45
.46
.0000000
.0000002
.0000011
.0000059
.0000270
.0001056
.46
.47
.0000000
.0000004
.0000019
.0000102
.0000443
.0001665
.47
.48
.0000001
.0000006
.0000034
.0000171
.0000715
.0002584
.48
.49
.0000002
.0000010
.0000059
.0000282
.0001137
.0003945
.49
.30
.0000003
.0000018
.0000101
.0000459
.0001779
.0005936
.50
117
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=38 r= 28
11=38 r = 27
11=38 r=26
11=38 r=25
11=38 r=24
11=38 v -23
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
,0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.23
.24
.0000000
.0000000
.0000000
.0000001
.0000002
.0000014
.24
.25
.0000000
.0000000
.0000000
.0000001 ■
.0000006
.0000030
.25
.26
.0000000
.0000000
.0000001
.0000002
.0000013
.0000059
.26
.27
.0000000
.0000000
.0000001
.0000006
.0000026
.0000115
.27
.28
.0000000
.0000000
.0000003
.0000011
.0000053
.0000215
.28
.29
.0000000
.0000001
.0000005
.0000023
.0000100
.0000392
.29
.30
.0000000
.0000002
.0000010
.0000044
.0000185
.0000692
.30
• 31
.0000001
.0000004
.0000018
.0000084
.0000333
.0001184
.31
.32
.0000002
.0000007
.0000036
.0000153
.0000581
.0001975
.32
.33
.0000002
.0000015
.0000067
.0000273
.0000988
.0003210
.33
.34
.0000006
.0000028
.0000121
.0000473
.0001639
.0005090
.34
.35
.0000011
.0000052
.0000215
.0000800
.0002654
.0007885
.35
• 36
.0000020
.0000093
.0000372
.0001323
.0004200
.0011945
.36
.37
.0000038
.0000164
.0000628
.0002138
.0006502
.0017712
.37
.38
.0000068
.0000283
.0001037
.0003382
.0009856
.0025729
.38
.39
.0000120
.0000476
.0001676
.0005242
.0014641
.0036640
.39
.40
.0000206
.0000786
.0002654
.0007963
.0021329
.0051189
.40
.41
.00003^8
.0001273
,0004123
.0011865
.0030489
.0070200
.41
.42
.0000575
.0002022
.0006283
.0017354
.0042794
.0094554
.42
• ^3
.0000934
.0003153
.0009402
.0024928
.0059006
.0125148
.43
.44
.0001490
.0004827
.0013822
.0035185
.0079966
.0162839
.44
.45
.0002334
.0007263
.0019973
.0048823
.0106557
.0208380
.45
. 46
.0003598
.0010744
.0028379
.0066628
.0139672
.0262339
.46
.47
.0005447
.0015633
.0039666
.0089460
.0180143
.0325024
.47
.48
.0008117
.0022384
.0054560
.0118214
.0228688
.0396392
.48
.49
.0011907
.0031547
.0073876
.0153783
.0285821
.0475981
.49
.50
.0017198
=========
.0043777
.0098497
.0196995
.0351776
.0562842
.50
118
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P q
=====
11=38 r-22
11=38 r- 21
11=38 r = 20
11=38 r=19
11=38 r = i8
n =38 r=l 7
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.12
.1?
.0000000
.0000000
.0000000
.0000000
.0000003
.0000013
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000007
.0000037
.14
.15
.0000000
.0000000
.0000001
.0000003
.0000020
.0000093
.15
.16
.0000000
.0000000
.0000002
.0000010
.0000048
.0000219
.16
.17
.0000000
.0000001
.0000005
.0000024
.0000114
.0000476
.17
.18
.0000000
.0000003
.0000012
.0000057
.0000250
.0000975
.18
.19
.0000001
.0000006
.0000028
.0000128
.0000517
.0001888
.19
.20
.0000002
.0000014
.0000063
.0000267
.0001015
.0003480
.20
.21
.0000007
.0000030
.0000134
.0000532
.0001899
.0006123
.21
.22
.0000015
.0000065
.0000271
.0001009
.0003401
.0010334
.22
.23
.0000031
.0000133
.0000522
.0001839
.0005847
.0016780
.23
.24
.0000064
.0000282
•0000965
.0003220
.0009686
.0026289
.24
.25
.0000127
.0000491
.0001722
.0005437
.0015495
.0039846
.25
,26
.0000243
.0000892
.0002963
.0008876
.0024000
.0058549
,26
.27
.0000447
•0001564
.0004934
.0014040
.0036063
.0083574
.27
.28
.0000798
.0002655
.0007966
.0021560
.0052668
.0116085
.28
.29
.0001380
.0004374
.0012493
.0032196
.0074884
.0157144
.29
.30
.0002319
.0007004
.0019065
.0046827
.0103801
.0207600
.30
.31
,0003791
.0010918
.0028351
.0066425
.0140459
.0267971
.31
.32
.0006034
.0016592
.0041136
.0092013
.0185752
.0338333
.32
.33
.0009367
.0024614
.005830a
.0124600
.0240327
-.0418230
.33
.34
•0014203
.0035679
.0080802
.0165107
.0304477
.0506608
.34
.35
.0021049
.0050590
.0109612
.0214278
.0378048
.0601790
.35
• 36
.0030525
.0070230
.0145661
.0272583
•0460362
.0701504
.36
.37
.0043353
.0095529
.0189766
.0340122
.0550170
.0802951
.37
.38
.0060345
.0127416
.0242536
.0416545
.0645644
.0902932
.38
.39
.0082383
.0166752
.0304287
.0500986
.0744414
.0998066
.39
.40
.0110375
.0214259
.0374954
.0592031
.0843645
.1084686
.40
.41
.0145215
.0270429
.0454013
.0687721
.0940166
.1159647
.41
.42
.0187701
.0335443
.0540436
.0785597
.1030628
.1219927
.42
• 43
.0238472
.0409089
.0632662
.0882783
.1111691
.1263118
.43
.44
.0297921
.0490694
.0728606
.0976123
.1180222
.1287514
.44
.45
.0366110
.0579078
.0825721
.1062332
.1233485
.1292222
.45
.46
.0442697
.0672537
.0921084
.1138181
.1269320
.1277204
.46
.47
.0526867
.0768870
.1011527
.1200693
.1286275
.1243268
.47
.48
.0617298
.0865428
.1093805
.1247321
.1283701
.1192008
.48
k49
.0712149
.0959221
.1164768
.1276116
.1261792
.1125680
.49
'.50
' mms
.0809086
.1047052
.1221560
.1285854
.1221560
.1047052
.50
832939 0 - 50 -9
119
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P 0.
p
J 11=38 r= 16
11=38 r=15
11=38 r=l4
11=38 r= 13
n-38 r=12
11=38 r=ll
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000002
.0000015
.05
.06
.0000000
.0000000
.0000000
.0000002
.0000011
.OOOOO83
.06
.07
.0000000
.0000000
.0000001
.0000009
.0000057
.0000335
.07
.08
.0000000
.0000001
.0000006
.0000037
.0000213
.0001088
.08
.09
.0000001
.0000003
.0000023
.0000130
.0000659
.0002959
.09
.10
.0000003
.0000013
.0000077
.0000389
.0001749
.0006998
.10
.11
.0000008
.0000045
.0000224
.0001015
.0004106
.0014765
.11
.12
.0000025
.0000126
.0000577
.0002372
.0008695
.0028341
.12
.13
.0000069
.0000322
.0001346
.0005045
.0016880
.0050209
.13
.14
.0000176
.0000750
.0002878
.0009902
.0030413
.0083033
.14
.15
.0000409
.0001613
.0005711
.0018124
.0051351
.0129330
.15
.16
.0000885
.0003234
.0010612
.0031199
.0081896
.0191092
.16
.17
.0001795
.0006096
.0018602
.0050861
.0124160
.0269419
.17
.18
.0003430
.0010873
.0030957
.0078974
.0179884
.0364212
.18
.19
.0006221
.0018450
.0049158
.0117359
.0250160
.0473988
.19
.20
.0010754
.0029926
.0074814
.0167585
.0335169
.0595857
.20
.21
.0017801
.0046584
.0109529
.0230740
.0434010
.0725648
.21
.22
.0028313
.0069830
.0154737
.0307223
.0544624
.0858194
.22
• 23
.0043408
.0101096
.0211530
.0396575
.0663830
.0987729
.23
.24
.0064330
.0141713
.0280472
.0497371
.0787504
.IIO8339
.24
• 25
.0092368
.0192768
.0361441
.0607220
.0910830
.1214440
.25
.26
.0128767
.0254951
.0453518
.0722838
.1028654
.1301204
.26
.27
.0174605
.0328404
.0554943
.0840223
.1155858
.1364900
.27
.28
.0230663
.0412615
.0663130
.0954907
.1227738
.1403130
.28
.29
.0297294
.0506336
.0774780
.1062251
.1300342
.1414931
.29
.30
.0374310
.0607575
.0886048
.1157768
.1350730
.1400758
• 30
• 31
.0460894
.0713643
.0992769
.1237439
.1377150
.1362341
.31
.32
.0555559
.0821261
.1090737
.1297977
.1379100
.1302484
.32
.53
.0656150
.0926736
.1175972
.1337044
.1357302
.1224772
• 33
.0759912
.1026174
.1244989
.1353377
.1313572
.II33278
.34
.35
.0863609
.1115717
.1295030
.1346830
.1250629
.1032264
.35
.36
.0963682
.1191800
.1324222
.1318336
.1171855
.0925910
.36
.37
.1056462
.1251367
.1331692
.1269787
.1081034
.0818080
.37
.38
.1138384
.1292080
.1317581
.1203853
.0982090
.0712160
.38
.39
.1206214
.1312447
.1283001
.1123777
.0878851
.0610940
.39
.40
.1257250
.1311914
.1229918
.1033132
.0774848
.0516566
.40
.41
.1289497
.1290864
.1160991
.0935588
.0673168
.0430535
.41
.42
.1301784
.1250574
.1079365
.0834709
.0576347
.0353737
.42
.43
.1293827
.1193095
.0988465
.0733763
.0486331
.0286521
.43
.44
.1266234
.1121092
.0891777
.0635594
.0404469
.0228791
.44
.45
.1220432
.1037662
.0792659
.0542531
.0331547
.0180099
.45
.46
.II58570
.0946129
.0694171
.0456341
.0267853
.0139749
.46
.47
.IO8335I
.0849844
.0598960
.0378236
.0213261
.OIO6883
.47
.48
.0997856
.0752007
.0509171
.0308897
.0167320
.0080561
.48
.49
.0905348
.0655514
.0426418
.0248541
.0129343
.0059832
.49
.50
.0809086
.0562842
.0351776
.0196995
.0098497
.0043777
.50
120
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
qn -r
p
[ n-38 r-10
11*38 r= 9
n=38 r= 8
11=38 r= 7
11=38 r= 6
11=38 r= 5
P
.01
.0000000
.0000000
.0000000
.0000001
.00Q002P
.OOOO36O
.01
.02
.0000000
.0000000
.0000007
.0000087
.0000925
.0008247
.02
.03
.0000001
.0000014
.0000128
.0061074
.0007593
.0044641
.03
.04
.0000016
.0000130
.0000942
.0065833
.0030624
.0133630
.04
.05
.0000109
.0000720
.0004100
.0020104
.OO83559
.0288657
.05
.06
.0000505
.0002731
.0012835
.0051890
.0177834
.0506558
.06
.07
.0001750
.0008019
.0031960
.0109579
.0318463
.0769274
.07
.08
.0004915
.0019493
.0067250
.OI99582
.0502073
.1049788
.08
.09
.0011755
.0040982
.0124315
.0324376
.0717457
.1318961
.09
.10
.0024740
.0076781
.0207307
.0481489
.0947930
.1551160
.10
.11
.0046931
.0130937
.0317820
.0663602
.1174498
.1727775
.11
.12
.0081647
.0206466
.0454224
.0859606
.1378953
.1838602
.12
.15
.0132005
.0304626
.0611595
.1056255
.1546295
.1881506
.13
.i4
.0200379
.0424450
.0782200
.1239985
.1666229
.1860984
.14
.3-5
..0207911
.0562586
.0956396
.1398600
.1733682
.1786218
.15
.16
.0394127
.0713507
.1123772
.1522530
.1748531
.1669052
.16
.3.7
.0516764
.0870009
.1274307
.1605578
.1714781
.1522212
.17
.18
.0651823
.1023936
.1399379
.1645149
.1639436
.1357917
.18
.19
.0793840
.1166989
.1492517
.1642022
.1531293
.1186936
.19
.20
.0936345
.1291512
.1549813
.1599808
.1599851
.1018059
.20
.21
.1072428
.1391162
.1570027
.1524204
.1254293
.0857914
.21
.22
.1195342
.1461391
.1554388
.1422196
.1-103011
.0711031
.22
.23
.1299078
.14996.86
.1506206
.1301294
.0952986
.0580078
*23
.24
.1378826
.I5056I6
.1430334
.1168875
.0809690
.0466185
.24
.25
.1431305
.1480660
.1332594
.1031685
.0677044
.0369297
• 25
.26
.1454917
.1427902
.1219210
.0895498
.0557534
.0288514
.26
.27
.1449754
.1351622
.1096316
.0764933
.0452408
.0222396
.27
.28
.1417447
.1256849
.0969570
.0643401
.0361913
.0169206
.28
.29
.1360913
.1148928
.0843868
.0533166
.0285543
.0127107
.29
.30
.1284027
.1033125
.0723188
.0-435468
.0222270
.0094297
.30
• 3 1
.1191265
.0914318
.0610529
.0-350689
.0170748
.0069101
.31
.32
.1087342
.0796758
.0507934
.0278545
.0129479
.0050026
.32
.33
.0976900
.0683933
.0416577
.0218266
.0096937
.0035785
.33
• 34
.0864243
.0578499
.0336891
.OI68765
.0071663
.0025293
.34
.35
.0753132
.0482301
.0268711
.0128783
.0052318
.OOI7666
.35
• 36
.0646667
.0396425
.0211426
.0096999
.0037721
.0012193
.36
.37
.0547229
.0321299
.0164124
.0072117
.0026861
.0008316
.37
.38
.0456478
.0256820
.0125707
.0052930
.0018890
.0005604
.38
.39
.0375403
.0202472
.0095006
.0038349
.0013120
.0003732
.39
.40
.0304405
.0157451
.0070852
.0027427
.0009000
.0002454
.40
.41
.0243395
.0120776
.0052140
.0019363
.0006095
.0001595
.41
.42
.0191908
.0091385
.0037859
.0013492
.0004076
.0001023
,42
• J3
.0149210
.0068203
.0027123
.0009278
.0002691
.0000648
.43
.44
.0114395
.0050205
.0019169
.0006296
.0001753
.0000406
.44
.45
.0086476
.0036446
.0013364
.0004215
.0001127
.0000250
.45
.46
.0064450
.0026089
.0009188
.0002783
.0000715
.0000153
. 46
.47
.0047350
.0018412
.0006228
.OOOI813
.0000447
.0000092
.47
.48
.0034287
.0012808
.0004162
.0001164
.0000276
.0000054
.48
•
VO
.0024465
.0008780
.0002742
.0000736
.0000168
.0000032
-.49
.50 | .0017198
—s=JLi ,i ;arf ==
.0005930
.0001779
.0000459
.0000101
.0000018
.50
121
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
5
ii
CD
II
-f=-
11=38 r* 3
n=38 r= 2
11=38 r = 1
11=38 r= 0
n=39 r=35
p
.01
.0005245
.0059343
.0489579
.2619906
.6825546
.0000000
.01
.02
.0059422
.0332766
.1358796
.3598971
.4640779
.0000000
.02
.03
.0212260
.0784352
.2113393
.3693678
.3142866
.0000000
.03
.04
.0471635
.1293629
.2587258
.3356443
.2119858
.0000000
.04
.05
.0806543
.1751349
.2772970
.2847915
.1423957
.0000000
.05
.06
.1167070
.2089609
.2728102
.2310284
.0952486
.0000000
.06
.07
.1502993
.2282096
.2526606
.1814474
.0634384
.0000000
.07
.08
.1775378
.2333353
.2236130
.1390027
.0420566
.0000000
.08
.09
.1961201
.2266276
.1909547
.1043657
.0277698
.0000000
.09
.10
.2053004
.2111662
.1583747
.0770471
.0182480
.0000000
.10
.11
.2055775
.1900925
.1281684
.0560540
.0119349
.0000000
.11
.12
.1982808
.1661781
.1015533
.0402553
.0077686
.0000000
.12
.13
.1851708
.1416252
.0789833
.0285719
.0050319
.0000000
.13
.14
.1681141
.1180230
.0604165
.0200610
.0032430
.0000000
.14
.15
.1488515
.0963990
.0455218
.0139436
.0020793
.0000000
.15
.16
.1288606
.0773164
.0338259
.0095993
.0013262
.0000000
.16
.17
.1092938
.0609841
.0248122
.0065482
.0008413
.0000000
.17
.18
.0909715
.0473630
.0179804
.0044276
.0005308
.0000000
.18
.19
.0744131
.0362555
.0128802
.0029681
.OOO333O
.0000000
.19
.20
.0598859
.0273764
.0091254
.0019731
.0002077
.0000000
.20
.21
.047^617
.0204052
.0063969
.0013008
.0001288
.0000000
.21
.22
.0370725
.0150216
.0044382
.0008505
.0000794
.0000000
.22
.23
.0285588
.0109259
.0030484
.0005517
.0000486
.0000000
.23
.24
.0217096
.0078568
.0020733
.0003549
.0000296
.0000000
.24
.25
.0162925
.0055860
.0013965
.0002264
.0000179
.0000000
.25
.26
.0120758
.0039280
.0009316
.0001434
.0000107
.0000000
,26
.27
.0088425
.0027323
.0006156
.0000900
.0000064
.0000000
.27
.28
.0063986
.0018804
.0004029
.0000560
.0000038
.0000000
.28
.29
.0045764
.0012805
.0002612
.0000346
.0000022
.0000000
.29
.30
.0032356
.0008629
.0001677
.0000212
.0000013
.0000000
.30
.31
.0022618
.0005754
.0001067
.0000128
.0000008
.0000000
.51
.32
.0015634
.0003796
.0000672
.0000078
.0000004
.0000000
.52
.33
.0010684
.0002479
.0000420
.0000046
.0000002
.0000000
.53
.34
.0007220
.0001602
.0000259
.0000028
.0000001
.0000000
.35
.0004825
.0001024
.0000158
.0000016
.0000001
.0000000
.55
• 36
.0003188
.0000647
.0000096
.0000010
.0000000
.0000000
.36
.37
.0002082
.0000405
.0000057
.0000006
.0000000
.0000000
.37
.38
.0001345
.0000251
.0000034
.0000003
.0000000
.0000000
.38
.39
.OOOO858
.0000153
.0000020
.0000002
.0000000
.0000000
.39
.40
.0000542
.0000092
.0000012
.0000001
.0000000
.0000000
.40
.41
.0000337
.0000056
.0000006
.0000001
.0000000
.0000000
.41
.42
.0000208
.OOOOO33
.0000004
.0000000
.0000000
.0000000
,42
.*3
.0000127
.0000019
.0000002
.0000000
.0000000
.0000000
.43
.44
.0000076
.0000011
.0000001
.0000000
.0000000
.0000000
.44
.45
.0000045
.0000006
.0000001
.0000000
.0000000
.0000000
.45
.46
.0000026
.0000004
.0000000
.0000000
.0000000
.0000000
.46
.47
.0000015
.0000002
.0000000
.0000000
.0000000
.0000000
.47
.48
.0000009
.0000001
.0000000
.0000000
.0000000
.0000000
.48
.49
.0000004
.0000001
.0000000
.0000000
.0000000
.0000001
.49
.50
.0000003
.0000000
.0000000
.0000000
.0000000
.0000002
.50
122
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n = 39 r =34
n =39 r =33
n =39 r = 32
n =39 r-31
n-39 r=30
n =39 r-29
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.3.6
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.3.7
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000 .
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
-31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.34
.35
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.35
• 36
.0000000
.0000000
.0000000
.0000000
.0000002
.0000010
.36
.37
.0000000
.0000000
.0000000
.0000001
.0000003
.0000019
.37
.38
.QOOOOOO
.0000000
.0000000
.0000001
.0000008
.0000034
.38
.39
.0000000
.0000000
.0000000
.0000003
.0000013
.0000063
.39
.40
.0000000
.0000000
.0000001
.0000005
.0000024
.0000111
.40
.41
.0000000
.0000000
.0000002
.0000009
.0000044
.0000192
.41
.42
.0000000
.0000001
.0000003
.0000016
.0000078
.0000325
,42
.*3
.0000000
.0000001
.0000006
.0000029
.0000136
.0000541
.43
.44
.0000000
.0000002
.0000010
.0000053
.0000231
.0000882
.44
.45
.0000001
.0000003
.0000018
.0000092
.0000385
.0001413
.45
.46
.0000001
.0000006
.0000033
.0000156
.0000632
.0002224
.46
.47
.0000002
.0000011
.0000058
.0000262
.0001018
.0003442
.47
.48
.0000004
.0000019
.0000100
.0000432
.0001612
.0005240
.48
.49
.0000006
.0000034
.0000168
.0000701
.0002513
.0007847
.49
.50
.0000010
.0000059
.0000280
.0001119
.0003855
.0011564
.50
123
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n -'
p
n-59 r=28
n-59 r=27
n=39 r=26
n=39 r=25
n=39 r=24
n=39 r=23
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.22
• 25
.0000000
.0000000
.0000000
.0000001
.0000002
.0000012
.23
.24
.0000000
.0000000
.0000000
,0000001
.0000006
.0000026
.24
• 25
.0000000
.0000000
.0000001
.0000002
.0000012
.0000054
.25
.26
.0000000
.0000000
.0000001
.0000005
.0000025
.0000107
,26
.27
.0000000
.0000000
.0000003
.0000011
.0000050
.0000205
.27
.28
.0000000
.0000001
.0000005
.0000023
.0000098
.0000379
.28
.29
.0000000
.0000002
.0000010
.0000046
.0000184
.0000679
.29
.50
.0000001
.0000004
.0000020
.0000087
.0000337
.0001180
.30
.51
.0000002
.0000008
.0000039
.0000161
.0000597
.0001992
.31
• 52
.0000005
.0000017
.0000073
.0000290
.0001027
.0003274
.32
.55
.0000006
.0000052
.0000135
.0000509
.0001721
.0005242
.33
.34
.0000015
.0000060
.0000241
.0000869
.0002813
.0008188
.34
.35
.0000025
.0000109
.0000420
.0001449
.0004485
.0012492
.35
• 36
.0000047
.0000195
.0000715
.0002358
.0006988
.0018634
.36
.37
.0000085
.0000555
.0001187
.0003753
.0010649
.0027200
.37
• 38
.0000150
.0000569
.0001928
.0005843
.0015887
.0038883
.38
• 39
.0000259
.0000944
.0003066
.0008908
.0023221
.0054479
,39
.40
.0000458
.000155^
.0004777
.0013310
.0033272
•0074864
.40
.41
.0000727
.0002441
.0007297
.0019501
.0046771
.0100956
.41
.42
.0001185
.0005812
.0010933
.0028038
.0064534
.0133675
.42
.^3
.0001888
.0005840
'. 0016078
.0039581
.0087447
.0173878
.43
.44
.0002958
.0008785
.0023222
.0054888
.0116430
.0222275
.44
.*»5
.0.004552
.0012985
.0032955
.0074804
.0152377
.0279358
.45
.46
.0006884
.0018857
.0045973
.0100228
.0196099
.0345303
. 46
.47
.0010255
.0026928
.0063069
.0132081
.0248237
.0419890
.47
.48
.0014965
.0057829
.0085114
.0171241
.0309186
.0502427
.48
.49
.0021550
.0052288
.0113031
.0218481
.0379000
.0591703
.49
.50
.0050488
.0071137
.0147746
.0274385
.0457309
.0685964
.50
124
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-39 r-22
n=39 r-:21
n-39 r-.ZO
n=39 r-19
n=39 r»l8
n=39 r=17
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
. 06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.12
.13
.0000000
.0000000
.0000000
.0000001
.0000003
.0000021
.13
.14
.0000000
.0000000
.0000000
.0000002
.0000012
.0000056
.14
.13
.0000000
.0000000
.0000001
.0000006
.0000031
.0000140
.15
.16
.0000000
.0000001
.0000003
.0000016
.0000075
.0000325
.16
.17
.0000000
.0000002
.0000008
.0000040
.0000175
.0000700
.17
.18
.0000001
.0000004-
.0000020
.0000092
.0000380
.0001417
.18
.19
.0000002
.0000010
.0000048
.0000201
.0000778
.0002711
.19
.20
.0000005
.0000023
.0000105
.0000416
.0001508
.0004934
.20
.21
.0000011
.0000052
.0000218
.0000819
.0002786
.0008576
.21
.22
.0000025
.0000111
.0000433
.0001535
.0004926
•0014290
.22
.23
.0000054
.0000223
.0000825
.0002760
.0008362
.0022905
.23
.24
.0000111
.0000430
.0001507
.0004772
.0013670
.0035420
.24
.25
.0000218
.0000799
.0002650
.0007952
.0021583
.0052976
.25
.26
.0000412
.0001430
.0004500
.0012809
.0032982
. 0076806
.26
.27
.0000749
.0002473
.0007393
.0019986
•0048891
.0108152
.27
.28
.0001318
.0004142
.0011771
.0030271
.0070425
.0148167
.28
.29
.0002249
.0006728
.0018207
.0044575
.0098740
.0197787
.29
• 30
.0003724
.0010622
.0027394
.0063919
.0134941
.0257613
.30
.31
.0006000
.0016322
.0040155
.0089376
.0179987
.0327777
.31
.32
.0009413
.0024446
.0057416
.0122009
.0234578
.0407846
• 32
.33
.0014399
.0035730
.0080180
.0162790
.0299035
.0496744
• 33
• 34
.0021504
.0051021
.0109466
.0212493
.0373201
.0592732
.34
.35
.0031389
.0071247
.0146245
.0271598
.0456358
.0693426
• 35
• 36
.0044819
.0097385
.0191353
.0340183
.0547173
.0795888
.36
.37
.0062658
.0130396
.0245398
.0417840
.0643699
.0896750
•37
.38
.0085832
.0171162
.0308659
.0503603
.0743413
.0992404
.38
.39
.0115287
.0220391
.0381000
.0595923
.0843314
.1079207
.39
.40
.0151929
.0278537
.0461784
.0692677
.0940062
.1153711
.40
.41
.0196553
.0345698
.0549833
.0791224
.1030155
.1212886
.41
.42
.0249753
.0421540
.0643404
.0888510
.1110133
.1254307
.42
.*3
.0311837
.0505226
.0740214
.0981213
.1176805
.1276323
.43
.44
.0382742
.0595375
.0837514
.1065926
.1227430
.1278151
.44
.45
•0461946
.0690067
.0932196
.1139351
.1259917
.1259917
.45
.46
.0548424
.0786869
.1020948
.1198505
.1272947
.1222632
. 46
.47
.0640609
.0882919
.1100435
. 11240916
..1266062
.1168107
.47
.48
.0-736400
.0975049
.1167493
.1264783
.1239689
.1098815
.48
.49
.0833214
.1059939
.1219329
.1269097
.1195097
.1017718
.49
.50
.0928069
.1134306
.1253707
.1253707
.1134306
.0928069
• 50
125
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-39 r=16
n=39 r=15
n=39 r=14
n-39 r-13
21=39 r =12
n=39 r=ll
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
• 03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000003
.0000019
.05
.06
.0000000
.0000000
.0000000
.0000002
.0000016
.0000108
.06
.07
.0000000
.0000000
.0000002
.0000012
.0000076
.0000435
.07
.08
.0000000
.0000001
.0000009
.0000051
.0000283
.0001394
.08
.09
.0000001
.0000005
.0000033
.0000178
.0000865
.0003751
.09
.10
.0000003
.0000020
.0000108
.0000525
.0002274
.0008772
.10
.11
.0000012
.0000064
.0000311
.0001355
.0005279
.0018303
.11
.12
.0000037
.0000180
.0000793
.0003130
.0011053
.OO34737
.12
.13
.0000102
.0000455
.0001827
.0006583
.0021214
.0060842
• 13
.14
.0000256
.0001048
.0003861
.0012774
.0037780
.0099461
.14
.13
.0000590
.0002227
.0007574
.0023108
.0063048
.0153116
.15
.16
.0001262
.0004414
.0013906
.0039310
.0099368
.0223578
.16
.17
.0002526
.0008222
.0024086
.0063322
.0148854
.0311468
.17
.18
.0004771
.0014487
.0039600
.0097138
.0213063
.0415982
.18
.19
.0008545
.0024284
.0062116
.0142592
.0292687
.0534760
.19
.20
.0014589
.0038904
.0093368
.0201102
.0387307
.0663954
.20
.21
.0023845
.0059802
.0134983
.0273427
.0495254
.0798472
.21
.22
.0037446
.0088510
.0188284
.0359451
.0613609
.0932367
.22
.23
.0056676
.0126496
.0254090
.0458044
.0738327
.1059339
.23
.24
.0082901
.0175015
.0332528
.0567003
.0864504
.1173256
.24
• 25
.0117468
.0234936
.0422886
.0683122
.0986733
.1268656
.25
.26
.0161575
.0306579
.0523541
.0802350
.1099517
.1341169
.26
.27
.0216131
.0389570
.0631968
.0920045
.1197699
.1387810
.27
.28
.0281609
.0482759
.0744828
.1031300
.1276848
.1407138
.28
.29
.0357916
.0584185
.0858147
.1131297
.1333573
.1399266
.29
.30
.0444289
.0691117
.0967564
.1215657
.1365738
.1365739
.30
• 31
.0539246
.0800172
.1068617
.1280749
.1372560
.1309307
• 31
.32
.0640583
.0907493
.1157054
.1323937
.1354583
.1233638
.32
.33
.0745443
.1008984
.1229125
.1343730
.1313567
.1142974
• 33
.34
.0850441
.1100571
.1281841
.1339844
.1252271
.1041806
.34
.35
.0951847
.1178477
.1313159
.I3I3I6O
.1174201
.0934569
• 35
• 36
.1045805
.1239471
.1322104
.1265603
.1083315
.0825382
• 36
.37
.1128577
.1281087
.1308787
.1199948
.0983741
.0717866
.37
.38
.1196788
.1301770
.1274365
.1119583
.0879517
.0615000
.38
.39
1247645
.1300963
.1220904
.1028256
.0774366
.0519080
.39
.40
.1279116
.1279115
.1151204
.0929818
.0671536
.0431701
.40
.41
.1290057
.1237616
.1068576
.0827996
.0573688
.0353808
.41
.42
.1280276
.1178667
.0976609
.0726197
.0482850
.0285769
,42
.43
.1250512
.1105104
.0878943
.0627368
.0400412
.0227477
.43
.44
.1202371
.1020194
•0779057
.0533899
.0327170
.0178457
.44
.45
.1138185
.0927411
.0680101
.0447588
.0263395
.0137969
• 45
.46
.1060847
.0830228
.0584770
.0369637
.0208925
.0105111
. 46
.47
.0973603
.0731928
.0495220
.0300698
.0163263
.0078902
• 47
.48
.0879848
.0635446
.0413040
.0240940
.0125675
.0058350
.48
.49
.0782929
.0543257
.0339258
.0190134
.0095282
.0042503
.49
.50
.0685964
.0457309
.0274385
.0147746
.0071137
.0030488
• 50
126
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
II n=39 r=lo
n=39 r= 9
n=39 r= 8
n=39 r- 7
n-39 r =6
n=39 r-5
P
.01
.0000000
.0000000
.0000000
.0000001
.0000024
.0000409
.01
.02
.0000000
.0000001
.0000008
.0000103
.0001072
.0009270
.02
.03
.0000002
.0000016
.0000157
.0001270
.0008704
.0049659
.03
.04
.0000021
.0000163
.0001138
.0006824
.0034744
.0147150
.04
.05
.0000140
.0000889
.0004900
.0023277
.0093814
.0314551
.05
.06
.0000639
.0003337
.0015178
.0059447
.0197558
.0546188
.06
.07
.0002189
.0009694
.0037394
.0124201
.0350019
.0820634
.07
.08
.0006082
.0023313
.0077837
.0223781
.0'545890
.1107835
.08
.09
.0014385
.0048483
.0142320
.0359753
.0771592
.1376763
.09
.10
.0029944
.OO89833
.0234726
.0528133
.1008253
.1601344
.10
.11
.0056172
.0151494
.0355857
.0719799
.1235360
.1763855
.11
.12
.0096626
.0236197
.0502870
.0921928
.1434110
.1855907
.12
.13
.0154445
.0344532
.0669401
.1119960
.1589873
.1877632
.13
.14
.0231749
.0474535
.0846289
.1299660
.1693495
.1835806
.14
.15
.0329113
.0621657
.1022727
.1448863
.1741562
.1741562
• 15
.16
.0445227
.0779149
.1187574
.1558690
.1735814
.1608181
.16
.17
.0576816
.0938739
.1330623
.1624143
.1682044
.1449236
.17
.18
.0718803
.1091516
.1443618
.1644120
.1588763
.1277241
.18
.19
.0864738
.1228839
.1520923
.1620984
.1465865
.1102803
.19
.20
•1007379
.1343171
.1559813
.1559812
.1323477
.0934219
.20
.21
.1139362
.1428724
.1560404
.1467522
.1171054
.0777422
.21
.22
.1253873
.1481850
.1525306
.1351975
.1016775
.0636165
.22
.23
.1345218
.1501185
.1459076
.1221184
.0867217
.Q512345
.23
.24
.1409256
.1487548
.1367584
.1082671
.0727248
.0406404
.24
.25
.1443644
.1443643
.1257367
.0943025
.0600107
.0317704
.25
.26
.1447893
.1373643
.1135044
.0807628
.0487589
.0244897
.26
.27
.1423259
.1282690
.1006842
.0680551
.0390305
.0186224
• 27
.28
.1372480
.1176411
.0878242
.0564585
.0307955
.0139744
.28
.29
.1299437
.1060461
.0753764
.0461356
.0239596
.0103518
.29
• 30
.1208757
.09^0144
.0636872
.0371508
.0183878
.0075715
.30
.31
.1105411
.0820144
.0529978
.0294908
.0139238
.0054691
.31
.32
.0994355
.070*1335
.0434529
.0230844
.0104054
.0039021
• 32
.33
.0880221
.0595706
.0351134
.0178227
.0076757
.0027502
.33
• 34
.0767091
.0496352
.0279728
.0135751
.0055897
.0019148
.34
.35
.0658341
.0407544
.0219736
.0102021
.0040189
.0013172
.35
• 36
.0556580
.0329825
.0170233
.0075658
.0028532
.0008951
.36
.37
.0463635
.0263144
.0130081
.0055372
.0020000
.0006009
.37
.38
.0380609
.0206997
.0098051
.0039995
.0013842
.0003985
.38
• 39
.0307960
.0160561
.0072909
.0028510
.0009458
.0002611
.39
.40
.02*15623
.0122812
.0053482
,0020056
.0006382
.0001689
.40
.41
.0193121
.0092636
.0038701
.0013923
.0004250
.0001079
.41
.42
.0149688
.0068905
.0027625
.0009537
.0002794
.0000681
.42
.43
.0114377
.0050539
.0019450
.0006445
.0001813
.0000424
.43
.44
.0086151
.0036550
.0013505
.0004297
.0001160
.0000260
.44
.45
.0063963
.0026059
.0009246
.0002826
.0000732
.OOOOI58
.45
.46
.0046804
.OOI8315
.0006241
.OOOI832
.0000456
.0000095
. 46
.47
.0033749
.0012686
.0004153
.0001171
.0000280
.0000056
.47
.48
.0023976
.0008659
.0002723
.0000737
.0000170
.0000032
.48
.49
. 001.6779
.0005821
.0001760
.0000457
.0000101
.0000019
.49
.50
.0011564
.OOO3855
.0001119
.0000280
.0000059
.0000010
.50
127
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q n-r
p
n-39 r- 4
n=39 r = 3
n=39 r= 2
n=39 r= 1
n=39 r» 0
n=4o r=36
p
.01
.0005786
.0063645
.0510882
.2661963
,6757290
.0000000
.01
.02
.0064890
.0353286
.1403599
.3619808
,4547963
.0000000
.02
.03
.0229423
.0824224
.2160801
.3677154
.3048580
.0000000
.03
.04
.0504516
.1345374
.2618025
.3306979
,2035064
.0000000
.04
• 05
.0853783
.1802431
.2776716
.2776717
.1352760
.0000000
.05
.06
.1222422
.2127919
.2703033
.2228816
,0895337
.0000000
.06
.07
.1557531
.2299212
.2476756
.1731868
.0589977
.0000000
.07
.08
.1820016
.2325575
.2168442
.1312478
.0387013
.0000000
.08
.09
.1988657
.2234171
.1831617
.0974721
.0252705
.0000000
.09
.10
.2058870
.2058871
.1502419
.0711672
.0164232
.0000000
.10
.11
.2038741
.1832808
.1202358
.0512009
,0106221
.0000000
.11
.12
.1944284
.1584232
.0941975
.0363570
.0068363
.0000000
.12
.13
.1795099
.1334817
.0724298
.0255118
,0043777
.0000000
.13
.14
.1611013
.1099581
.0547667
,0174066
.0027889
.0000000
.14
.15
.1409836
.0887675
.0407850
,0121640
,0017674
.0000000
.15
.16
.1206136
.0703579
.0299496
.0082756
.0011140
.0000000
.16
.17
.1010811
.0548349
.0217073
.0055780
,0006983
.0000000
.17
.18
.0831220
.0420741
.0155409
.0037261
,0004353
.0000000
.18
.19
.0671632
.0318141
.0109969
.0024675
.0002697
.0000000
.19
.20
.0533840
.0237262
.0076949
,0016200
.0001662
.0000000
.20
.21
.0417798
.0174635
.0053267
,0010547
.0001017
.0000000
.21
.22
.0322212
.0126933
.0036489
.0006809
.0000619
.0000000
.22
.23
.0245035
.0091148
.0024742
,0004360
.0000374
.0000000
.23
.24
.0183849
.0064688
.0016609
.0002768
.0000225
.0000000
.24
.25
.0136159
.0045386
.0011040
.0001743
,0000134
.0000000
.25
.26
.0099574
.0031489
.0007267
.0001089
.0000079
.0000000
,26
.27
.0071927
.0021608
.0004737
.0000674
.0000047
.0000000
.27
.28
.0051335
.0014667
.0003058
.0000414
.0000027
.0000000
.28
.29
.0036205
.0009849
.OOOl'955
.0000252
.0000016
.0000000
.29
.30
.0025238
.0006543
.0001238
.0000152
.0000009
.0000000
.30
.31
.0017390
.0004301
.0000776
,0000091
.0000005
.0000000
.31
.32
.0011845
.0002797
.0000482
.0000054
.0000003
.0000000
.32
.33
.0007976
.0001799
.0000297
.0000031
.0000002
.0000000
.33
.0005310
.0001145
.0000181
.0000018
.0000001
.0000000
.34
.35
.0003494
.0000721
.0000109
,0000010
.0000001
.0000000
.35
• 36
.0002273
.0000449
.0000065
.0000006
.0000000
.0000000
.36
.37
.0001462
.0000276
.0000038
.0000004
.0000000
.0000000
•37
.38
.0000929
.0000169
.0000022
.0000002
.oonoooo
.0000000
.38
• 39
.0000584
.0000101
.0000013
.0000001
.0000000
.0000000
.39
.40
.0000362
.0000060
.0000007
.0000001
.0000000
.0000000
.40
.41
.0000222
.0000036
.0000004
.0000000
.0000000
.0000000
.41
.42
.0000134
.0000021
.0000002
.0000000
.0000000
.0000000
.42
.43
.0000080
.0000012
.0000001
.0000000
.0000000
.0000000
.43
.44
.0000048
.0000006
.0000001
.0000000
.0000000
.0000000
.44
.45
.0000028
.0000004
.0000000
.0000000
.0000000
.0000000
.45
.46
.0000016
.0000002
.0000000
.0000000
.0000000
.0000000
.46
.47
.0000009
.0000001
.0000000
.00000O0
.0000000
.0000000
.47
.48
.0000005
.0000001
.0000000
.0000000
.0000000
.0000000
.48
.49
.0000003
.0000000
.0000000
.0000000
.0000000
.0000000
.49
.50
.0000002
.0000000
.0000000
.0000000
.0000000
.0000001
.50
128
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
7
I n-4o r-35
n=40 r=34
n = 40 r-33
n=40. r=32
n=40 r=31
na^O r^O
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
. 06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.000000.0
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
• 23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
• 23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
,26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
*29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
• 30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
-31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.34
.35
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.35
• 36
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.36
.37
.0000000
.0000000
.0000000
.0000000
.0000002
.0000009
.38
.0000000
.0000000
.0000000
.0000001
.0000003
.0000018
.38
.39
.0000000
.0000000
.0000000
.0000001
.00Q0007
.0000033
.39
.40
.0000000
.0000000
.0000000
.0000003
.0000013
.0000059
.40
.0000000
.0000000
.0000001
.0000004
.0000024
.0000105
.41
.42
.0000000
.0000000
.0000002
.0000008
.0000043
.0000182
.42
.43
.0000000
.0000001
.0000002
,0000016
.0000076
.0000309
. 43
.44
.0000000
.0000001
.0000006
.0000029
.0000131
.0000517
.44
.45
.0000000
.0000002
.0000010
.0000052
.0000223
.0000848
.45
.46
.0000001
.0000003
.0000018
.0000090
.0000375
.0001364
.46
.47
i, o
.0000001
.0000006
.0000033
.0000154
.0000617
.0002158
.47
1.0
.48
.0000002
.0000011
.0000058
.0000259
.0000999
.0003353
. 4o
.49
.0000004
.0000020
.0000100
.0000429
.0001589
.0005126
.49
• 50
.0000006
.0000035
.0000169
.0000700
.0002487
.0007709
. 50
129
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n=40 r- 29
n=40 r= 28
n=40 r= 27
n=40 r-26
n—40 r-25
n=40 r=2.4
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
. 0JOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17 '
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000003
.0000010
.24
.25
.0000000
.0000000
.0000000
.0000001
.0000005
.0000022
.25
.26
.0000000
.0000000
.0000000
.0000003
.0000010
.0000046
.26
.27
.0000000
.0000000
.0000001
.0000005
.0000022
.0000092
.27
.28
.0000000
.0000000
.0000002
.0000010
.0000044
.0000177
.28
.29
.0000000
.0000001
.0000004
.0000020
.0000086
.0000328
.29
• 30
.0000000
.0000002
.0000009
.0000040
.0000162
.0000590
.30
.31
.0000001
.0000004
.0000017
.0000077
.0000296
.0001030
.31
• 32
.0000002
.0000007
.0000035
.0000143
.0000526
.0001746
.32
• 33
.0000003
.0000015
.0000066
.0000258
.0000909
.0002883
.33
.34
.0000007
.0000029
.0000121
.0000455
.0001530
.0004640
.34
.35
.0000012
.0000054
.0000218
.0000780
.0002512
.0007287
.35
• 36
.0000023
.0000099
.0000381
.0001307
.0004025
.0011180
.36
.37
.0000043
.0000178
.0000650
.0002137
.0006304
.0016773
•n
.38
.0000078
.0000309
.0001086
.0003415
.0009660
.0024626
.38
.39
.0000139
.0000526
.0001772
.0005344
.0014490
.0035412
.40
.0000241
.0000877
.0002831
.0008-190
.0021295
.0049909
.40
.41
.0000411
.0001430
.0004432
.0012301
.0030681
.0068987
.41
.42
.0000685
.0002287
.0006803
.0018117
.0043366
.0093573
.42
• {3
.0001120
.0003588
.0010242
.0026185
.0060163
.0124613
.43
I. It
.44
.0001795
.0005522
.0015137
.0037156
.0081966
.0163002
.44
• 45
.0002826
.0008345
.0021971
.0051787
.0109711
.0209519
.45
.46
.0004368
.0012391
.0031330
.0070931
.0144328
.0264733
. 46
.47
.0006634
.0018081
.0043915
.0095504
.0186675
.0328914
.47
.48
.0009908
.00,25940
.0060525
.0126455
.0237455
.0401942
.48
• 49
.0014552
.0036601
.0082052
.0164702
.0297135
.0483224
.49
• 50
.0021026
.0 050812
.0109442
.0211065
.0365848
.0571636
• 30
130
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
KN
OJ
II
UL
n=4o r=22
n=40 r-21
n=40 r =20
n=40 r=19
n=40 r=}8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.12
• 13
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000003
.0000017
.14
.15
.0000000
.0000000
.0000000
.0000002
.0000010
.0000047
.15
.16
.0000000
.0000000
.0000001
.0000005
.0000026
.0000115
.16
.17
.0000000
.0000001
.0000002
.0000014
.0000062
.0000265
.17
.18
.0000000
.0000002
.0000007
.0000033
.0000144
.0000566
.18
.19
.0000001
.0000003
.0000017
.0000077
.0000311
.0001145
.19
.20
.0000002
.0000009
.0000039
.0000167
.0000635
.0002193
.20
.21
.0000004
.0000020
.0000087
.0000344
.0001232
.0004002
.21
.22
.0000010
.0000044
.0000182
.0000676
.0002281
.0006986
.22
.23
.0000021
.0000094
.0000361
.0001270
.0004049
.0011706
.23
.24
.0000046
.0000188
.0000689
.0002290
.0006908
.0018890
.24
.25
.0000095
.0000363
.0001263
.0003975
.0011360
.0029431
.25
.26
.0000186
.0000676
.0002229
.0006661
.0018053
.004*1377
,26
.27
.0000351
.0001214
.0003802
.0010793
.0027790
.0064892
.27
.28
.0000642
.0002108
.0006279
.0016951
.0041514
.0092193
.28
.29
.0001134
.0003548
.0010057
.0025854
.0060283
; 0127463
.29
• 30
.0001943
.0005794
.0015654
.0038351
.0085225
.0171743
.30
.31
.0003234
.0009200
.0023710
.0055413
•0117466
.0225802
.31
.32
.0003238
.0014223
.0034997
.0078086
.0158031
.0290024
.32
.33
.000.8264
.0021438
.0050399
.0107441
.0207750
.0364279
.33
.34
.0012725
.0031541
.0070892
.0144495
.0267133
.0447842
.34
.35
.0019106
.0045340
.0097496
.0190118
.0336264
.0539332
.35
• 36
.0028061
.0063743
.0131213
.0244932
.0414700
.0636710
.36
.37
.0040319
.0087721
.0172948
.0309201
.0501407
.0737328
.37
.38
.0056723
.0118257
.0223411
.0382738
.0594731
.0838030
.38
.39
.0078194
.0156277
.0283029
.0464820
.0692405
.0935313
•39
.40
.0105690
.0202572
.0351836
.0554141
.0791631
.1025521
.40
.41
.0140150
.0257703
.0429394
.0648803
.0889185
.1105073
.41
.42
.0182428
.0321904
.0514723
.0746348
.0981592
.1170686
.42
.43
.0233200
.0394994
.0606271
.0843844
.1065517
.1219598
.43
.44
.0292880
.0476301
.0701916
.0938015
.1136 88
.1249748
.44
.45
.0361523
.0564600
.0799026
.1025415
.1193605
.1259917
.45
.46
.0438739
.0658109
.0894545
.1102625
.1232148
.1249801
.46
.47
.0523627
.0754495
.0985151
.1166462
.1252734
.1220023
.47
.48
. 0614734
.0850952
.1067422
.1214192
,1252738
.1172069
.48
.49
.0710044
.0944309
.1138040
.1243716
.1232837
.1108181
.49
.50
.0807017
.1031187
.1194007
.1253706
.1194007
.1031187
• 50
131
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=40 r=17
n-40 r-16
n=40 r=15
n=40 r=l4
n=40 r-13
n-40 r=12
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
. 0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
40000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000003
.0000022
.06
.07
.0000000
.0000000
.0000000
.0000003
.0000016
.0000102
.07
.08
.0000000
.0000000
.0000002
.0000012
.0000069
.0000372
.08
.09
.0000000
.0000001
.0000008
.0000046
.0000240
.0001125
.09
.10
.0000001
.0000005
.0000029
.0000150
.0000699
.0002924
.10
.11
.0000003
.0000017
.0000091
.0000426
.0001787
.0006711
.11
.12
.0000011
.0000054
.0000253
.0001074
.0004081
.0013895
.12
.13
.0000031
.0000148
.0000634
.0002445
.0008485
.OO26365
.13
.14
.0000085
.0000366
.0001442
.0005110
.0016274
.0046415
.14
.13
.0000208
.0000835
.0003029
.0009904
.0029099
.0076558
.15
.16
.0000475
.0001766
.0005933
.0017970
.0048920
.0119241
.16
.17
.0001010
.0003495
.0010919
.0030756
.0077862
.0176499
.17
.18
.0002021
.0006519
.0019008
.0049957
.0118004
.0249589
.18
.19
.0003820
.0011535
.0031472
.0077407
.0171109
.0338681
.19
.20
.0006865
.0019452
.0049797
.0114915
.0238342
.0442636
.20
.21
.0011782
.0031396
.0075591
.0164056
.0320010
.0558930
.21
.22
.0019384
.0048680
.0110460
.0225941
.0415366
.0683736
.22
.23
.0030672
.0072735
..0155843
.0300999
.0522509
.0812160
.23
.24
.0046815
.0105009
.0212818
.0388802
.0638403
.0938605
.24
• 25
.0069099
.0146835
.0281923
.0487945
.0759025
.1057214
.25
.26
.0098846
.0199276
.0362988
.0596032
.0879613
.1162347
.26
.27
.0137307
.0262959
.0455017
.0709749
.0995012
.1249029
.27
.28
.0185531
.0337931
.0556138
.0825040
.1100053
.1313329
.28
.29
.0244225
.0423534
.0663634
.0937360
.1189957
.1352624
.29
• 30
.0313616
.0518337
.0774052
.1041991
.1260682
.1365738
.30
.31
.0393332
.0620134
.0883390
.1134377
.1309211
.1352951
.31
.32
.0482321
.0725995
.0987353
.1210456
.1333743
.1315881
.32
.33
.0578815
.0832412
.1081630
.1266945
.1333776
.1257271
• 33
.34
.0680353
.0935485
.1162203
.1301562
.1310069
.1180713
.34
.35
.0783874
.1031167
.1225616
.1313159
.1264525
.1090329
.35
.36
.0885858
.1115524
,1269220
.1301763
.1199979
.0990^59
.36
.37
.0982526
.1185006
.1291337
.1268516
.1119952
.0885367
.38
.1070069
.1236682
.1291356
.1215548
.1028358
.0779000
.38
.39
.1144898
.1268438
.1269740
.1145772
.0929238
.067^805
• 39
.40
.1203874
.1279115
.1227950
.1062650
.0826505
.0575602
.40
.41
.1244526
.1268557
.1168309
.0969938
.0723730
.0483537
.41
.42
.1265214
.1237600
.1093803
,0871436
.0623991
.0^00076
.42
.^3
.1265224
.1187987
.1007855
.0770765
.0529777
.0326051
. **3
.44
.1244807
.1122213
.091^094
,0671187
.0442939
.0261736
.44
.45
.1205138
.1043337
.0816121
.0575471
.0364701
.0206953
.45
.46
.1148212
.0954762
.0717317
,0485809
.0295709
.0161171
. 46
.47
.1076690
.0860016
.0620675
.0403795
.0236103
.0123614
.47
.48
.0993711
.0762535
.0528691
.0330432
.0185613
.0093359
.48
.49
.0902671
.0665490
.0443297
.0266188
.0143656
.0069^20
.49
.50
.0807017
.0571636
.0365848
.0211065
.0109442
.0050812
.50
132
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=40 r=11
n-40 r* Xo
n=40 r= 9
n=40 r= 8
n=40 r- 7
VO
II
u
0
-=i-
11
P
.01
.0000000
.0000000
.0000000
.0000000
.0000001
.0000028
.01
.02
.0000000
.0000000
.0000001
.0000010
.0000123
.0001236
.02
.03
.0000000
.0000002
.0000021
.0000191
.0001492
.0009934
.03
.04
.0000003
.0000026
.0000203
.0001365
.0007941
.0039240
.04
.05
.0000025
.0000178
.0001089
.0005819
.0026804
.0104850
.05
.06
.0000139
.0000801
.0004048
.0017834
.0067734
.0218475
.06
.07
.0000557
.0002714
.0011634
.0043470
.0140008
.0382963
.07
.08
. 0001^69
.0007461
.0027675
.0089512
.0249550
.0590846
.08
.09
.0004"’08
.0017453
.0056928
.0161889
.0396819
.0826058
.09
.10
.0010889
.0035934
.0104322
.0264066
.0576145
.1067563
.10
.11
.0022469
.0066657
.0173975
.0395889
.0776512
.1293494
.11
.12
.0042164
.0113374
.0268197
.0553157
.0983390
.1484726
.12
.13
.0073011
.0179156
.0386765
.0727974
.1181048
.1627282
.13
.14
.0117982
•0265739
.0526580
.0909762
.1354796
.1713^19
.14
.15
.0179516
.0372995
.0681817
.1086647
.1492768
.1741562
.15
.16
.0259042
.0498655
.0844497
.1246952
.1587030
•1715393
.16
.17
.0356577
.0638342
.1005360
.1380521
.1633986
.1642467
.17
.18
.0470490
.0785891
.1154894
.1479709
.1634156
.1532688
.18
.19
.0597456
.0933918
.1284335
.1539934
.1591511
.1396884
.19
.20
.0752639
.1074538
.1386500
.1559812
.1512545
.1245626
.20
.21
.0870059
.1200128
.1456377
.1540898
.1405264
.1088391
.21
.22
.1003098
.1304028
.1491410
.1487173
.1278232
.0933041
.22
.23
.1125091
.1381091
.1491500
.1404360
.1139771
.0785597
*23
.24
.1229896
.1428046
.1458756
.1299205
.0997370
.0650245
.24
.25
.1312403
.1443644
.1397074
.1178781
.0857296
.0529506
.25
.26
.1368917
.1428588
.1311607
.1049917
.0724417
.0424489
,26
.27
.1397381
.1385305
.1208211
.0918744
.0602184
.0335203
.27
.28
.1397434
.1317581
.1092924
.0790418
.0492728
.0260856
.28
.29
.1370316
.1230134
.0971518
.0668966
.0397046
.0200133
.29
.30
.1318644
.1128173
.0849162
.0557263
.0315220
.0151428
.30
.31
.1246100
.1016978
.0730192
.0457107
.0246649
.0113029
.31
.32
.1157068
.0901549
.0617997
.0369349
.0190271
.0083244
• 32
.33
.1056266
.0786331
.0514997
.0294075
.0144742
.0060503
• 33
.34
.0948403
.0675039
.0422701
.0230775
.0108601
.0043402
.3^
.35
.0837889
.0570562
.0341812
.0178535
.0080380
.0030733
• 35
• 36
.0728614
.0474948
.0272372
.0136186
.0058693
.0021482
.36
.37
.0623800
.0389453
.0213911
.0102439
.0042284
.0014823
.38
.0525931
.0314637
.0165598
.0075989
.0030Q57
.0010096
.38
.39
.0436743
.0250475
.0126376
.0055594
.0021080
.0006788
.39
.40
.0357270
.0196499
.0095080
.0040112
.0014586
.0004504
.40
.41
.0287927
.0151922
.0170522
.0028542
.0009957
.0002950
.41
.42
.0228615
.0115759
.0051567
.0020028
.0006705
.0001907
.42
.43
.0178843
.0086927
.0037170
.OOI3858
.0004454
.0001215
.44
.0137843
.0064326
.0026410
.0009453
.0002917
.0000764
.44
.45
.0104666
.0046906
.0018494
.0006357
.0001883
.0000474
.45
.46
.0078290
.0033699
.0012761
.0004213
.0001199
.0000290
. 46
.47
.0057680
.0023850
.0008675
.0002751
.0000753
.0000174
.47
.48
.0041850
.0016624
.0005810
.00Q1770
.0000465
.0000103
.48
.49
.0029898
.0011411
.0003830
.0001122
.0000283
.0000060
.49
• 50
.0021026
.0007709
.0002 487
.0000700
.0000169
.0000035
. 50
133
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q°- r
p
n-4o r= 5
n-40 r= 4
n-40 r- 3
n=40 r = 2
n=40 r= 1
n=40 r= 0
p
.01
.0000463
.0006364
.0068118
.0532392
.2702916
.6689718
.01
.02
.0010382
*.0070657
.0374293
.1447923
.3638371
.4457004
.02
.03
.0055061
. 02.47267
.0864321
.2206292
.3658296
.2957123
.03
.04
.0161445
.0538150
.1396280
.2645583
.3256102
.1953662
.04
.05
.0341514
.0901215
.1851144
.2776717
.2705519
.1285122
.05
.06
.0586763
.1276751
.2162426
.2674580
.2148808
.0841616
.06
.07
.0872217
.1709448
.2211640
.2424614
.1651935
.0548679
.07
.08
.1164810
.1860460
.2313005
.2099964
.1238441
.0356052
.08
.09
.1431833
.2010754
.2197941
.1754496
.0909739
.0229962
.09
.10
.1647096
.2058870
.2003226
.1423344
.0656928
.0147809
.10
.11
.1794092
.2016089
.1763458
.1126420
.0467372
.0094537
.11
.12
.1866512
.1901078
.1507161
.0872566
,0328145
.0060160
.12
.13
.1866903
.1735262
.1255450
.0663305
.0227643
.0038086
.13
.14
.1804335
.1539412
.1022313
.0495783
.0156181
.0023985
.14
.15
.1691804
.1331511
.0815701
.0364919
.0106045
.0015023
.15
.16
.1543854
.1125726
.0638926
.0264818
.0071297
.0009358
.16
.17
.1374704
.0932192
.0492032
.0189653
.0047485
.0005796
.17
.18
.1196957
.0757334
.0372981
.0134143
.0031338
.0003569
.18
.19
.1020880
.0604469
.0278588
.0093763
.0020499
.0002185
.19
.20
.0854143
.0474524
.0205200
.0064799
.0013293
.0001329
.20
.21
.0701901
.0366734
.0149148
.0044296
.0008545
.0000804
.21
.22
.0567094
.0279252
.0107034
.0029960
.00054^7
.0000453
.22
.23
.0450864
.0209641
.0075875
.0020054
.0003443
.0000288
,23
.24
.0352991
.0155250
.0053149
.0013287
.0002158
.0000171
.24
.25
.0272318
.0113465
.0036800
.0008716
.0001340
.0000101
.25
.26
.0207114
.0081871
.0025192
.0005660
.0000826
.0000059
,26
.27
.0155364
.0058342
.0017052
.00035 40
.OOOO505
.0000034
.27
.28
.0114990
.0041068
.0011416
.0002318
.0000305
.0000020
.28
.29
.0083997
.0028562
.0007560
.0001461
.0000184
.0000011
.29
• 30
.0060572
.0019630
.0004951
.0000912
.0000110
.0000008
.30
.31
.0043128
.0013332
.0003208
.0000564
.0000064
.0000004
.31
.32
.0030324
.0008950
.0002056
.0000345
.OOOOO38
.0000002
.32
.33
.0021058
.0005938
.0001303
.0000209
.0000022
.0000001
• 33
.3^
.0014444
.0003894
.0000817
.0000125
.0000012
.0000001
.34
.35
.0009785
.0002524
.0000506
.0000075
.0000007
.0000000
.35
• 36
.0006547
.0001617
.0000310
.0000044
.0000004
.0000000
• 36
.37
.0004327
.0001023
.0000188
.0000026
.0000002
.0000000
.38
.0002824
.0000640
.0000113
.0000015
.0000001
.0000000
.38
.39
.0001820
.0000395
.0000067
.0000008
.0000001
.0000000
.39
.40
.0001159
.0000241
.0000039
.0000005
.0000000
.0000000
.40
• U1
.0000728
.0000146
.0000022
.0000003
.0000000
.0000000
.41
.42
.0000451
.OOOOO87
.0000012
.0000002
.0000000
.0000000
,42
.43
.0000276
.0000051
.0000007
.0000001
.0000000
.0000000
.43
.44
.0000167
.0000030
.0000004
.0000000
.0000000
.ooodooo
.44
.45
.0000100
.0000017
.0000002
.0000000
.0000000
.0000000
.45
.46
.0000058
.0000010
.0000001
.0000000
.0000000
.0000000
. 46
.47
i, O
.0000034
.0000005
.0000001
.0000000
.0OC0000
.0000000
w47
. 48
.0000020
.0000003
.0000000
.0000000
.0000000
.0000000
. 4o
.49
.0000011
.0000002
.0000000
.0000000
.0000000
.0000000
.49
• 50
.0000006
.0000001
.0000000
.0000000
.0000000
.0000000
.50
134
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
| n=41 r=37
n=4l r-36
n=41 r= 35
n»4l r= 34
n=4l r= 33
n=4l r= 32
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.OOOOOQO
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
. 06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.-0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
. OOOOQOO
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
• 23
.0000000
.0000000
.0000000
.0000000
.0000000
.OOOOOQO
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
,26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000600
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
• 30
■.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
,33
• 34
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.34
.35
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.35
• 36
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.38
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.38
• 39
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.39
.40
.0000000
.0000000
.0000000
.0000000
.000Q001
.0000007
.40
• 4 JL
.0000000
.0000000
.0000000
.0000000
.0000003
.0000012
.41
.42
.0000000
.0000000
.0000000
.0000001
.0000004
.0000023
.42
.43
.0000000
.0000000
.0000000
.0000002
.0000008
.0000042
.43
.44
.0000000
.0000000
.0000001
.0000002
.0000016
.0000074
.44
.45
.0000000
.0000000
.0000001
.0000006
.0000028
.0000129
.45
.46
.0000000
.0000000
.0000002
.0000010
.0000052
.0000221
. 46
.47
.0000000
.0000001
.0000003
.0000019
.0000090
.0000371
.47
.48
.0000000
.0000001
.0000006
.0000034
.0000154
.0000615
.48
.49
.0000000
.0000002
.0000011
.0000060
.0000261
.0000997
.49
.50
.0000001
.0000003
.0000020
.0000103
.0000434
.0001593
. 50
832939 0 - 50 - 10
135
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n-4l r=31
n=4l r=30
n=4l 1^29
n=4l r=-28
n»4l r=27
n-4l r = 26
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
. .0000000
.01
.02
.0000000
.0000000
. 0000 Q 00
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000-
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.ooooooo
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
,23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000005)
.0000000
.0000001
.24
• 25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
,26
.27
.0000000
.0000000
.0000000
.0000000
.0000002
.0000010
.27
.28
.0000000
.0000000
.0000000
.0000001
.0000004
.0000020
.28
.29
.0000000
.0000000
.0000000
.0000002
.0000009
.0000039
.29
• 30
.0000000
. OOO 0 OOO
.0000001
.0000004
.0000018
.0000077
.30
.31
.0000000
.0000000
.0000002
.0000008
.0000036
.0000145
.31
.32
.0000000
.0000001
.0000003
.0000017
.0000069
.0000265
.32
.33
.0000000
.0000002
.0000007
.0000032
.0000129
.0000473
.33
.34
.0000001
.0000003
.0000013
.0000061
.0000235
.0000820
.34
.35
.0000001
.0000006
.0000027
.0000112
.0000414
.0001386
.35
.36
.0000003
.0000011
.0000051
.0000201
.0000714
.0002285
.36
• 37
.0000005
.0000021
.0000093
.0000353
.0001200
.0003678
•37
.38
.0000009
.0000041
.0000165
.0000604
.0001970
.0005789
.38
• 39
.0000017
.0000074
.0000290
.0001012
.0003165
.0008911
.39
.40
.0000031
.0000132
.0000496
.0001658
.0004975
.0013432
.40
• 41
.0000057
.0000230
.0000829
.0002661
.0007658
.0019837
.41
.42
.0000101
.0000394
.0001358
.0004183
.0011555
.0028722
.42
.43
.0000176
.0000658
.0002181
.0006449
.0017098
.0040795
.43
.44
.0000301
.0001080
.0003435
.0009753
.0024825
.0056872
.44
.45
.0000505
.0001738
.0005309
.0014477
.0035388
.0077853
.45
. 46
.0000830
.0002745
.0008059
.0021103
.0049546
.0104694
. 46
.47
.0001341
.0004262
.0012014
.0030223
.0068162
.0138354
.47
. 48
.0002128
.0006500
.0017603
.0042541
.0092172
.0179735
.48
.49
.0003323
.0009744
.0025356
.0058872
.0122551
.0229594
.49
• 5^
.0005098
.0014368
.0035919
.0080127
.0160253
.0288457
.50
136
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
I n=4l r=*25
n=^l r= 24
n=4l r-23
n=4l r = 22
n=41 r=21
n=4l r-20
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.16
•JL7
.0000000
.0000000
.0000000
.0000001
.000000*1
.0000022
.17
.18
.0000000
.0000000
.0000001
.0000002
.0000011
.0000054
.18
.19
.0000000
.0000000
.0000001
.0000006
.0000029
.0000121
.19
.20
.0000000
.0000001
.0000003
,0000015
.0000065
.0000260
.20
.21
.0000000
.0000002
.0000007
.0000034
.0000141
.0000531
.21
.22
.0000001
.0000004
.0000017
.0000074
.0000290
.0001029
.22
.23
.0000002
.0000009
.0000038
.0000155
.0000570
.0001909
*23
.24
.000000^
.0000019
.0000080
.0000309
.0001073
.0003398
.24
.25
.0000009
.0000041
.0000162
.0000588
.0001940
.0005822
.25
.26
.0000020
.0000083
.0000313
.0001080
.0003381
.0009622
,26
.27
.0000040
.0000163
.0000584
.0001913
.0005689
.0015382
.27
.28
.0000081
.0000307
.0001052
.0003276
.0009267
.0023829
.28
.29
.0000156
.0000562
. 0001834
.0005436
.0014638
.0035838
.29
.30
.0000290
.0000996
.0003098
.0008752
.0022463
.0052414
.30
.31
.0000523
.0001713
.0005084
.0013698
.0033538
.0074649
,51
.32
.0000917
.0002863
.0008114
.0020870
.0048785
.0103669
• 32
.33
.0001560
.0004659
.0012611
.0030995
.0069223
.0140544
,33
.34
.0002587
.0007386
.0019116
.0044920
.0095917
.0186192
• 34
.35
.0004183
.0011424
.0028288
.0063594
.0129914
.0241270
.35
• 36
.0006601
.0017257
.0040906
.0088033
.0172152
.0306048
.36
.37
.0010178
.0025485
.0057858
.0119255
.0223361
.0380318
.38
.0015347
.0036823
.0080106
.0158216
.0283955
.0463295
.38
.39
.0022650
.0052097
.0108646
.0205711
.0353927
.0553578
.39
.40
.0032740
.0072222
.0144442
.0262278
.0432758
.0649137
.40
.41
.0046387
.0098164
.0188346
.0328096
.0519352
.0747360
.41
.42
.0064453
.0130892
.0241008
.0402888
.0612005
.0845151
.42
• 43
.0087877
.0171305
.0302772
.0485843
.0708427
.0939077
• 43
.44
.0117622
.0220149
.0373585
.0575571
.0805800
.1025563
.44
.45
.0154625
.0277921
.0452907
.0670092
.0900901
.1101101
• 45
.46
.0199715
.0344775
.0539649
.0766870
.0990261
.1162482
.46
.47
.0253527
.0420430
.0632135
.0862903
.1070367
.1207010
.47
.48
.0316408
.0504082
.0728119
.0954857
.1137872
.1232694
.48
.49
.0388319
.0594365
.0824834
.1039238
.1189821
.1238385
.49
.50
.0468742
.0689326
.0919102
.1112597
.1223857
.1223857
.50
137
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=4l r= 19
n=4l r= 18
n=4l r=17
n=4l r»16
n=4l r=15
n=4l r=14
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000003
.0000016
.08
.09
.0000000
.0000000
.0000000
.0000002
.0000011
.0000064
.09
.10
.0000000
.0000000
.0000001
.0000008
.0000041
.0000205
.10
.11
.0000000
.0000001
.0000005
.0000025
.0000128
.0000576
.11
.12
.0000001
.0000002
.0000016
.0000078
.0000352
.0001434
.12
.13
.0000002
.0000009
.0000047
.0000211
.0000868
.0003231
.13
.14
.0000005
.0000027
.0000124
.0000517
.0001956
.0006672
.14
.13
.0000015
.0000071
.0000302
.0001164
.0004061
.0012783
.15
.16
.0000040
.0000173
.0000682
.0002432
.0007855
.0022927
.16
.17
.0000097
.0000392
.0001432
.000 4757
.0014291
.0038765
.17
.18
.0000220
.0000828
.0002830
.0008768
.0024578
.0062206
.18
.19
.0000469
.0001654
.0005285
.0015323
.0040200
.0095211
.19
.20
.0000946
.0003138
.0009383
.0025520
.0062821
.0139600
.20
.21
.0001813
.0005636
.0015901
.0040677
.0094169
.0196806
.21
.22
.0003317
.0009715
.0025830
.0062272
.0135865
.0267615
.22
.23
.0005810
.0016069
.0040346
.0091850
.0189229
.0351946
,23
.24
.0009783
.0025593
.0060781
.0130883
.0255054
.0448707
.24
.25
.0015877
.0039348
.0088533
.0180608
.0333429
.0555715
.25
.26
.0024898
.0058539
.0124958
.0241841
.0423580
.0669762
.26
.27
.0037808
.0084444
.0171233
.0314815
.0523795
.0786769
.27
.28
.0055704
.0118327
.0228203
.0399029
.0631431
.0902044
.28
.29
.0079765
.0161324
.0296225
.0493163
.0743014
.1010614
.29
.30
.0111180
.0214304
.0375033
.05950,52
.0854433
.1107599
.30
.31
.0151050
.0277737
.0463641
.O7OI743
.0961196
.1188576
.31
.32
.0200269
.0351559
.0560297
.0809629
.1058746
.1249908
.32
.33
.0259404
.0435076
.0662502
.0914654
.1142784
,1288999
.33
.3^
.0328575
.0526895
.0767098
.1012569
.1209585
.1304454
.34
.35
.0407337
.0624922
.0870426
.1099224
.1256256
.1296138
.35
.36
.0494623
.0726404
.0968538
.1170854
.1280935
.1265122
.36
.37
.0588698
.0828051
.1057443
.1224349
.1282893
.1213547
•3Z
.38
.0687184
.0926205
.1133382
.1257458
.1262549
.1144416
.38
.39
.0787139
.1017051
.1193079
.1268946
.1221392
.1061324
•?9
.40
.0885187
.1096863
.1233970
.1258649
.1161830
.0968192
.40
.41
.0977699
.1162249
.1254379
.1227455
.1086977
.0868993
.41
.42
.1061011
.1210388
.1253616
.1177205
.1000409
.0767509
.42
.43
.1131658
.1239217
.1232012
.1110530
.0905907
.0667140
.^3
.44
.1186602
.1247574
.1190866
.1030640
.0807215
.0570758
.44
.45
.1223445
.1235266
.1132328
.0941090
.0707828
.0480624
. 46
.1240593
.1203070
.1059224
.0845538
.0610823
.0398363
.46
.47
.1237360
.1152657
.0974853
.0747526
.0518741
.0324979
.47
.48
.1214017
.1086457
.0882747
.0650290
.0433526
.0260919
.48
.49
.1171756
.1007481
.0786452
.0556616
.0356513
.0206147
.49
.50
.1112597
.0919102
.0689326
.0468742
.0288457
.0160253
. 50
138
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
»
1
1 n=4l r=13
n=41 r =12
n=4l r = 11
n=4l r=10
n=4l r- 9
n=4l r- 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000001
.0000013
.02
.03
.0000000
.0000000
.0000000
.0000003
.0000026
.0000229
.03
.04
.0000000
.0000000
.0000004
.0000033
.0000249
.0001628
.04
• 05
.0000001
.0000004
.0000033
.0000223
.0001326
.0005868
.05
.06
.0000004
.0000028
.0000179
.0000996
.0004875
.0020828
.06
.07
.0000022
.0000134
.0000708
.0003339
.0013862
.0050228
.07
.08
.0000094
.0000484
.0002224
.0009078
.0032622
.OIO23I5
.08
.09
.0000319
.0001448
.0005855
.0021006
.0066374
.0183033
.09
.10
.0000922
.0003720
.0013394
.0042772
.0120297
.0295274
.IQ
.11
.0002328
.0008445
.0027329
.0078463
.0198384
.0437759
.11
.12
.0005259
.0017287
.0050709
.0131953
.0302393
.0604785
.12
.13
.0010810
.0032428
.0086810
.0206146
.0431122
.0786873
.15
.14
.0020494
.0056435
.'0138667
.0302257
.0580226
.0972066
.14
.15
.0036218
.0092002
.0208537
.0419318
.0742542
.1147566
.15
.16
.0060171
.0141609
.0297380
.0553990
.0908889
.1301365
.16
.17
.0094630
.0207112
.0404477
.0700736
.10.69137
.1423610
.17
.18
.0141689
.0289351
.0527262
.0852312
.1213361
.1507509
.18
.19
.0202948
.0387848
.0661383
.1000497
.1332899
.1549734
.19
.20
.0279201
.0500637
.0801019
.1136930
.1421162
.1550359
.20
.21
.0370184
.0624267
.0939373
.1253940
.1474126
.1512416
.21
.22
.0474407
.0753996
.1069303
.1345252
.1*190477
.1441206
.22
.23
.0589129
.0884134
.1183971
.1406485
.1471458
.1343505
*23
.24
.0710451
.IOO8515
.1277452
.1435416
.1420464
.1226765
.24
.25
.0833572
.1121011
.1345213
.1432001
.1342501
.1098410
.25
.26
.0953125
.1216054
.1384432
.1398173
.1243568
.0965286
.26
.27
.1063597
.1289084
.1394120
.1337490
.1130055
.0833273
.27
.28
.1159770
.1336879
.1375075
.1254676
.1008223
.0707065
.28
.29
.1237130
.1357755
.1329663
.1155135
.0883778
.0590109
.29
.30
.1292198
.1351610
.1261503
.1044470
.0761592
.0484650
.30
.31
.1322770 •
.1319827
.1175072
.0928075
.0645535
.0391865
-31
.32
.1328027
.1265061
.1075302
.0810812
.0538429
.0312045
.32
.33
.1308529
.1190940
.0967187
.0696791
.0442093
.0244795
• 33
.3^
.1266089
.IIOI727
.0855459
.0589245
.0357445
.0189237
.34
.35
.1203556
.1001975
.0744325
.0490499
.0284665
.0144181
• 35
.36
.1124552
.0896194
.0637294
.0402021
.02233^5
.0108288
.36
.37
.1033155
.0788588
.0537091
.0324503
.0172666
.0080182
.37
.38
.0933602
.0682834
.0445639
.0258002
.0131547
.0058535
.38
.39
.0830009
.0581961
.0364098
.0202077
.0098771
.0042133
•?9
.40
.0726144
.0488269
.0292962
.0155931
.0073092
.0029902
.40
.41
.0625250
.0403337
.0232165
.0118548
.0053310
.0020923
.41
.42
.0529947
.0328063
.0181215
.0088798
.0038321
.0014433
.42
.43
.0442175
.0262751
.0139320
.0065531
.0027146
.0009814
.43
.44
.0363210
.0207223
.0105495
.0047643
.0018949
.0006578
.44
.45
.0293715
.0160924
.0078674
,0034120
.0013032
.0004344
.45
.46
.0233822
.0123045
.0057778
.0024068
.0008829
.0002827
.46
.47
.0183234
.0092625
.0041779
.0016718
.0005891
.0001812
.47
.48
.0141331
.0068635
.0029742
.0011433
.0003870
.0001144
.48
.49
.0107281
.0050054
.0020839
.0007697
.0002503
.0000710
.49
.50
.0080127
.0035919
.0014368
.0005098
.0001593
.0000434
.50
139
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=4l r=7
n-4l r-6
n=4l r=5
n=4l r-4
n=4l r=* 3
n=4l r = 2
p
.01
.0000002
.0000031
.0000522
.OOO6982
.0072761
.0554097
.01
.02
.0000144
.0001419
.0011588
.0076730
.0395766
.1491732
.02
.03
.0001746
.0011287
.0060828
.0265779
.0904579
.2249853
.03
.04
.0009194
.0044128
.0176513
.0572475
.1446252
.2670004
.04
.05
.0031706
.0116684
.0369498
.0948712
.1897423
.2773157
.05
.06
.0076778
.0200573
.0668162
.1329892
.2193155
.2643034
.06
.07
.0157014
.0417211
.0923823
.1658662
.2319548
.2370527
.07
.08
.0276854
.0636763
.1220461
. 1896664
.2295962
.2031043
.08
.09
.0435451
.0880577
.1483936
.2027601
.2158030
.1678469
.09
.10
.0625286
.1125516
.1688274
.2053306
.1945237
.1346703
.10
.11
.0833379
.1348560
.1818512
.1988299
.1693385
.1053924
.11
.12
.1043550
.1530540
.1870661
.1853807
.1431010
.0807236
.12
.13
.1239059
.1658432
.1849790
.1672887
.1178471
.0606668
.13
.14
.1405004
.1726147
.1767245
.1467019
.0948599
.0448239
.14
.15
.1530086
.1734099
.1637759
.1254141
.0748083
.0326088
.15
.16
.1607568
.1687947
.1476953
.1047838
.0579069
.0233855
.16
.17
.1635428
.1596947
.1299477
.0857365
.0440627
.0165485
.17
.18
.1615892
.1472257
.1117824
.0688151
.0329990
.0115638
.18
.19
.1554552
.1325443
.0941762
.0542551
.0243472
.0079843
.19
.20
.1459161
.1167329
.0778220
.0420659
.0177120
.0054498
.20
.21
.1338720
.1007228
.0631516
.0321041
.0127129
.0036788
.21
.22
.1202290
.0852532
.0503770
.0241363
.0090079
.0024566
.22
.23
.1058311
.0708608
.0395383
.0178875
.0063035“
.0016234
.23
.24
.0914060
.0578904
.0305533
.0130746
.0043582
.0010616
.24
.25
.0775349
.0465209
.0232604
.0094299
.0029779
.0006872
.25
.26
.0646436
.0367972
.0174550
.0067135
.0020113
.0004404
.26
.27
.0530099
.0286647
.0129167
.0047194
.0013431
.0002793
.27
.28
.0427804
.0220013
.0094292
.0032765
.0008869
.0001754
.28
.29
.0339941
.0166454
.0067921
.0022472
.0005791
.0001091
.29
• 50
.0266082
.0124172
.0048289
.0015226
.0003740
.0000671
.30
.51
,0205227
.0091359
.0033892
.0010194
.0002388
.0000409
.31
.52
.0156022
.0066310
.0023484
.0006744
.0001509
.0000246
.32
• 55
.0116943
.0047486
.0016068
.0004409
.0000942
.0000147
.33
• 54
.0086433
.0033556
.OOIO856
.0002848
.0000582
.0000087
.34
• 55
.0063004
.0023401
.0007243
.0001818
.0000355
.0000051
.35
.56
.0045297
.0016106
.0004772
.0001146
.0000215
.0000029
.36
• 57
.0032124
.0010939
.0003104
.0000715
.0000128
.0000017
•ll
.58
.0022472
.0007353
.0001994
.0000439
.0000076
.0000009
.38
• 59
.0015506
.0004851
.0001264
.0000267
.0000044
.0000006
.39
.40
.0010554
.0003166
.0000791
.0000161
.0000025
.0000003
.40
.41
.0007084
.0002039
.0000489
.0000095
.0000014
.0000002
.41
.42
.0004689
.0001295
.0000298
.0000056
.0000008
.0000001
.42
• 45
.0003061
.0000812
.0000179
.0000032
.0000005
.0000000
• 43
.44
.0001969
.0000.502
.0000106
.0000018
.0000003
.0000000
.44
• 45
.0001250
.0000305
.0000062
.0000011
.0000001
.0000000
• 45
.46
.0000780
.0000184
.0000036
.0000005
.0000001
.0000000
. 46
.47
.0000481
.0000108
.0000020
.0000004
.0000000
.0000000
.47
.48
.0000292
.0000063
.0000011
.0000002
.0000000
.0000000
.48
• 49
.0000174
.0000037
.0000006
.0000001
.0000000
.0000000
.49
• 30
.0000103
.0000020
.0000003
.0000001
.0000000
.0000000
. 50
140
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n=4l r= 1
n*4l r = 0
n=42 r=37
n*42 r= 36
n=42 r=35
n-42 r=34
p
.01
.2742785
.6622820
.0000000
.0000000
.0000000
.0000000
.01
.02
.3654743
.^367864
.0000000
.0000000
.0000000
.0000000
.02
.05
.3637261
.2868409
.0000000
.0000000
.0000000
.0000000
.03
.04
.3204005
.1875515
.0000000
.0000000
.0000000
.0000000
.04
.05
.2634500
.1220865
.0000000
.0000000
,0000000
.0000000
.05
.06
.2070376
.0791119
.0000000
.0000000
.0000000
.0000000
.06
.07
.157^707
.0510271
.0000000
.0000000
.0000000
.0000000
.07
.08
.1167849
.0327568
.0000000
.0000000
.0000000
.0000000
.08
.09
.0848559
.0209265
.0000000
.0000000
.0000000
.0000000
.09
.10
.0606016
.0133028
.0000000
.0000000
.0000000
.0000000
.10
.11
.0426360
.0084138
.0000000
.0000000
.0000000
.0000000
.11
.12
.0295986
.0052941
.0000000
.0000000
.0000000
.0000000
.12
.13
.0203001
.0033135
.0000000
.0000000
.0000000
.0000000
.13
.14
.0137673
.0020627
.0000000
.0000000
.0000000
.0000000
.14
.15 .
.0092391
.0012770
.0000000
.0000000
.0000000
.0000000
.15
.16
.0061386
.0007861
.0000000
.0000000
.0000000
.0000000
.16
.17
.0040397
.0004811
.0000000
f0000000
.0000000
.0000000
.17
.18
.0026339
.0002927
.0000000
.0000000
.0000000
.0000000
.18
.19
.0017019
.0001770
.0000000
.0000000
.0000000
.0000000
.19
.20
.0010900
.0001063
.0000000
.0000000
.0000000
.0000000
.20
.21
.0006920
.0000635
.0000000
.0000000
.0000000
.0000000
.21
.22
.0004355
.0000377
.0000000
.0000000
.0000000
.0000000
.22
.23
.0002717
.0000222
.0000000
.0000000
.0000000
.0000000
.23
.24
.0001681
.0000130
.0000000
.0000000
.0000000
.0000000
.24
.25
.0001031
.0000075
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000626
.0000044
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000378
.0000025
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000226
.0000014
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000133
.0000008
.0000000
.0000000
.0000000
.0000000
.29
• 30
.0000079
.0000004
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000046
.0000002
.0000000
.0000000
.0000000
.0000000
.51
.32
.0000027
.0000001
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000015
.0000001
.000000c
.0000000
.0000000
.0000000
.33
.34
.0000009
.0000000
.0000000
.0000000
.0000000
.0000000
.3*
• 35
.0000005
.0000000
.0000000
.0000000
.0000000
.0000000
.35
• 36
.0000003
.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.0000001
.0000000
.0000000
.0000000
.0000000
.0000000
.38
.0000001
.0000000
.0000000
.0000000
.0000000
.0000000
.38
.39
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.40
.0000000
.0000000
.0000000
.0000000
.0000000
.OOtJOOOl
.40
.41
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
. 41
.42
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.42
.43
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.^3
.44
,0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.44
.45
.0000000
.0000000
.0000000
.0000001
.0000003
.0000016
.45
. 46
.0000000
,0000000
.0000000
.0000001
.0000006
.0000029
. 46
.47
.0000000
.0000000
.0000000
.0000002
.0000011
.0000052
.47
). 0
.48
.0000000
.0000000
.0000001
.0000003
.0000019
.0000092
. 48
.49
.0000000
.0000000
.0000001
.0000007
.0000034
.0000159
.49
• 50
.0000000
.0000000
.0000002
.0000012
.0000061
.0000269
.50
141
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n*42 r»33
n a*42 r=j2
n=42 r= 31
n-42 r = 3C
n-42 r=29
n=42 r=28
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000600
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000006
.0000000
.0000000
.22
• 23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
• 25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.opooooo
.0000000
.0000000
.0000000
,26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.30
.51
.0000000
.0000000
.0000000
.0000001
.0006003
.0000017
.31
.32
.0000000
.0000000
.0000000
. Q 000002
.0000007
.0000034
.32
.33
.0000000
.0000000
.0000001
.0000003
.0000015
.0000064
.33
.34
.0000000
.0000000
.0000002
.0000006
.0000030
.0000120
.34
.35
.0000000
.0000001
.0000002
.0000014
.0000056
.0000218
.35
• 36
.0000000
.0000001
.0000006
.0000025
.0000105
.0000386
.36
.37
.0000000
.0000003
.0000011
.0000048
.0000189
.0000666
.37
.38
.0000001
.0000004
.0000021
.0000089
.0000332
.0001123
.38
.39
.0000002
.0000009
.0000039
.0000158
.0000572
.0001851
.39
.40
.0000003
.0000016
.0000072
.0000278
.0000960
.0002985
.40
.41
.0000007
.0000030
.0000128
.0000476
.0001580
.0004710
.41
.42
.0000012
.0000056
.0000224
.0000798
.0002545
.0007279
.42
.43
.0000023
.0000100
.0000383
..0001313
.0004016
.0011028
.43
.44
.0000042
.0000174
.0000643
..0002116
.0006215
.0016385
.44
.45
.0000073
.0000298
.0001060
.0003345
.0009435
.0023887
.45
.46
.0000129
.0000501
.0001712
.0005189
.0014059
.0034187
.46
.47
.0000222
.0000827
.0002714
.0007906
.0020572
.0048054
.47
.48
.0000375
.0001341
.0004227
.0011830
.0029573
.0066353
.48
.49
.0000622
.0002136
.0006469
.0017395
.0041779
.0090074
.49
.50
.0001014
.0003345
.0009733
.0025143
.0058023
.0120191
.50
142
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=42 r=.27
n=42 r = 26
n-42 r=25
n=42 r-24
n=42 r-23
n-42 v - 22
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000060
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
. 06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.14
.‘0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.OpOOOOO
.0000000
.0000000
.0000001
.16
.17
.0000000
. QOQOOOO
.0000000
.0000000
.0000000
.0000002
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.18
.19
.0000000
.0000000
.6000000
.0000000
.0000003
.0000010
.19
.20
.0000000
.0000000
.0000000
.0000001
.0000006
.0000025
.20
.21
.0000000
.0000000
.0000001
.0000002
.0000013
.0000057
.21
.22
.0000000
.0000000
.0000002
.0000006
.0000030
.0000122
.22
.23
.0000000
.0000001
.0000003
.0000015
.0000066
.0000250
.23
.24
.0000000
.0000002
.0000008
.0000033
.0000135
.0000492
.24
.25
.0000001
.0000004
.0000017
.0000070
.0000269
.0000926
.25
.26
.0000002
.0000008
.0000036
.0000143
.0000513
.0001678
,26
.27
.0000004
.0000018
.0000073
.0000276
.0000943
.0002935
.27
.28
.0000009
.0000036
.0000145
.0000515
.0001676
.0004953
.28
.29
.0000017
.0000074
.0000273
.0000931
.0002878
.0008105
.29
• 30
.0000036
.0000141
.0000502
.0001626
.0004795
.0012865
.50
.31
.0000070
.0000262
.0000892
.0002758
.0007755
.0019848
.51
.32
.0000132
.0000474
.0001539
.0004543
.0012196
.0029804
.52
.33
.0000243
.0000832
.0002583
.0007283
.0018678
.0043610
.55
.34
.0000434
.0001421
.0004218
.0011374
.0027890
.0062259
.54
.35
.0000754
.0002365
.0006718
.0017326
.0040645
.0086806
.55
• 36
.0001279
.0003839
.0010437
.0025771
.0057872
.0118315
.56
.37
.0002117
.0006083
.0015841
.0037464
.0080574
.0157774
.57
.38
.0003422
.0009421
.0023508
.0053270
.0109788
.0205997
.58
.39
.0005406
.0014270
.0034133
.0074152
.0146501
.0263515
.59
.40
.0008358
.0021155
.0048533
.0101110
.0191576
.0330470
.40
.41
.0012652
.0030722
.0067615
.0135139
.0245644
.0406511
.41
.42
.0018765
.0043729
.0092358
.0177140
.0308998
.0490717
.42
.43
.0027288
.0061040
.0123751
.0227836
.0381492
.0581554
.43
.44
.0038926
.0083602
.0162733
.0287661
.0462459
.0676872
.44
.45
.0054497
.0112400
.0210108
.0356665
.0550640
.0773956
.45
.46
.0074915
.0148403
.0266442
.0434418
.0644170
.0869630
. 46
.47
.0101152
.0192486
.•0331971
.0519931
.0740596
.0960411
.47
.48
.0134203
.0245338
.0406492
.0611619
.0836955
.1042705
. 48
.49
.0175002
.0307369
.0489282
.0707295
.0929892
.1113023
.49
• 50
.0224355
.0378599
.0579034
.0804214
.1015850
.1168227
.50
143
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
n=42 r= 21
n=42 r=20
n=42 r=19
n=42 r=l8
n=42 r-17
n-42 r-16
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.000000c
.02
.03
.0000000
.0000000
.0000000
.0000000
. 6000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0006000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.6000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.6000000
.0000,001
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000007
.0000037
.11
.12
.0000000
.0000000
.0000001
.0000004
.0000023
.0000111
.12
.13
.0000000
.0000001
.0000002
.0000014
.0000068
.0000297
.13
.14
.0000000
.0000002
.0000008
.0000041
.0000179
.0000718
.14
.15
.0000001
.0000005
.0000023
.0000106
.0000432
.0001598
• 15
.16
.0000002
.0000014
.0000061
.0000254
.0000962
.0003301
.16
.17
.0000007
.0000035
.0000147
.0000568
; 0001998
.0006377
.17
.18
.0000019
.0000083
.0000330
.0001189
.0003898
.0011614
.18
.19
.0000046
.0000187
.0000695
.0002343
.0007193
.0020049
.19
.20
.0000104
.0000397
.0001383
.0004378
.0012611
.0032980
.20
.21
.0000223
.0000799
.0002617
.0007791
.0021105
.0051910
.21
.22
.0000453
.0001532
.0004724
.0013259
.0033846
.0078463
.22
.23
.0000878
.0002806
.0008170
.0021653
.0052192
.0114247
.23
.24
.0001631
.0004931
.0013577
.0034038
.0077606
.0160684
.24
.25
.0002911
.0008335
.0021745
.0051645
.0111551
.0218813
.25
.26
.0005004
.0013594
.0033644
.0075808
.0155347
.0289093
,26
.27
.0008306
.0021437
.0050400
.0107877
.0210000
.0371239
.27
.28
.00133^4
.0032754
.0073239
.0149092
.0276034
.0464102
.28
.29
.0020786
.0048577
.0103417
.0200445
.0353337
.0565620
.29
.30
.0031448
.0070044
.0142117
.0262523
.0441039
.0672866
.30
.31
.0046283
.0098333
.0190323
.0335366
.0537453
.0782173
.31
.32
.0066347
.013^581
.0248682
.0418355
.0640083
.08893^7
.32
.33
.0092759
.0179767
.0317376
.0510127
.0745712
.0989937
• 33
.34
.0126610
.0234602
.0396004
.0608564
.0850559
.1079554
.34
.35
.0168889
.0299393
.0483492
.0710848
.0950506
.1154185
• 35
.36
.0220355
.0373935
.0578065
.0813571
.1041372
.1210484
• 36
.37
.0281436
.0457418
.0677259
.0912926
.1119198
.1246010
.37
.38
.0352104
.0548373
.0778012
.100^932
.1180531
.1259393
.38
.39
.0431791
.0644667
.0876805
.1085702
.1222667
.1250400
.39
.40
.0519310
.0743557
.0969857
.1151706
.1243841
.1219922
.40
.41
.0612835
.0841799
.1053364
.1200022
.1243340
.1169859
.41
.42
.0709926
.0935813
.1123749
.1228544
.1221523
.1102951
.42
• ^3
.0807607
.1021887
.1177908
.1236119
.1179775
.1022542
.43
.44
.0902495
.1096421
.1213430
.1222622
.1120367
.0932333
.44
.45
.0990991
.1156156
.1228765
.1188944
.1046270
.0836122
.45
. 45
.1069483
.1198412
.1223333
.1136901
.0960929
.0737569
.46
.47
.1134590
.1221274
.1197550
.1069089
.0868009
.0639997
.47
.48
.1183386
.1223729
.1152789
.0988676
.0771167
.0546244
.48
.49
.1213617
.1205737
.1091261
.0899177
.0673833
.0458565
.49
.50
.1223856
.1168227
.1015850
.0804214
.0579034
.0378599
• 50
144
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=42 r=15
n=42 r- 14
n=42 r=l3
n»42 r=12
n=42 r=11
n=42 r=10
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
*0000000
.0000000
.0000000
.0000000
,02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.03
.04
.0000000
.0000000
.0000000
.0000001
.0000005
.0000041
.04
.05
.0000000
.0000000
.0000001
.0000006
.0000042
.0000279
.05
.06
.0000000
.0000001
.0000005
.OOOOO38
.0000228
.0001229
.06
.07
.0000001
.0000004
.0000031
.0000173
.0000892
.0004076
.07
.08
.0000003
.0000023
.0000125
.0000623
.0002772
.0010962
.08
.09
.0000016
.0000086
.0000421
.0001845
.0007218
.00,25090
.09
.10
.0000057
.0000277
.0001202
.0004688
.0016331
.0050524
.10
.11
.0000178
.0000768
.0003001
.0010522
.0032954
.0091654
.11
.12
.0000*182
.0001893
.0006702
.0021298
.0060459
.0152406
.12
.13
.0001175
.0004216
.0013620
.0039499
.0102323
.0235393
• 13
.14
.0002616
.0008607
.0025526
.0067947
.0161570
.0341173
.14
.15
.0005369
,0016298
.0044586
.0109482
.0240155
.0467802
.15
.16
.0010269
.0028882
.0073201
.0166533
.0338437
.0610774
.16
.17
.0018452
.0048262
.0113752
.0240664
.0454841
.0763364
• 17
.18
.0031351
.0076513
.0168268
.0332175
.0585771
.0917301
.18
.19
.0050652
.0115681
.0238079
.0439820
.0725815
.1063653
.19
.20
.0078177
.0167520
.0323489
.0560713
.0868201
.1193776
.20
.21
.0115722
.0233216
.0423541
.0690439
.1005432
.1300180
.21
.22
.0164850
.0313109
.0535917
.6823363
.1130012
.1377202
.22
.23
.0226653
.0406499
.0656980
.0953096
.1235150
.1421428
.23
.24
.0301531
.0511525
.0781987
.1073059
.1315364
.1431827
.24
.25
.0389000
.0625180
.0905432
.1177061
.1366910
.1409627
.25
.26
.0487588
.0743437
.1021486
.1259833
.1388004
.1357976
,26
.27
.0594798
.0661513
.1124478
.1317444
.1378831
.1281482
.27
.28
.0707202
.0974208
.1209360
.1347574
.1341363
.1185670
.28
.29
.0820618
.1076304
.1272111
.1349608
.1279050
.1076442
.29
.30
.0930383
.1162978
.1310022
.1324578
.1196393
.0959606
.30
.3!
.1031684
.1230176
.1321858
.1274953
.I098503
.0840488
-31
.32
.1119917
.1274907
.1307878
.1204337
.0990665
.0723650
.32
.33
.1191035
.1295444
.1269725
.1117101
.0877956
.0612741
.33
.34
.1241841
.1291409
.1210206
.1017996
.0764946
.0510433
.34
.35
.1270215
.1263733
.1133003
.0911798
.0655486
.0418457
.35
• 36
.1275242
.1214516
.1042344
.0802990
.0552596
.0337697
.36
.37
.1257235
.1146803
:0942665
.0695534
.0458433
.0268324
.37
.38
.1217658
.1064306
.083831!
.0592700
.0374337
.0209949
.38
.39
.1158965
.0971111
.0733271
.0496994
.0300910
.0161787
.39
.40
.1084375
.0871373
.0630994
.0410146
.0238149
.0122796
.40
.41
.0997604
.0769058
.0534266
•0333157
.0185581
.0091801
.41
.42
.0902591
.0667733
.0445155
.0266387
.0142400
.0067598
.42
.*3
.0803237
.0570405
.0365023
.0209676
.0107590
.0049026
.43
.44
.0703174
.0479436
.0294576
.0162463
.0080040
.0035018
.44
.45
.0605587
.0396515
.0233959
.0123911
.0058625
.0024631
.45
.46
.0513091
.0322674
.0182865
.0093022
.0042271
.0017058
.46
.47
.0427673
.0258359
.0140647
.0068728
.0030001
.0011629
.47
.48
.0350674
.0203517
.0106437
.0049966
.0020954
.0007803
.48
.49
.0282834
.0157703
.0079240
.0035739
.0014399
.0005151
.49
.50
.0224355
.0120191
.0058023
.0025143
.0009733
.0003345
• 50
145
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=42 r= 9
n=42 r= 8
n=42 r- 7
n=42 r=6
n»42 r= 5
n=42 r= 4
p
.01
.0000000
.0000000
.0000002
.0000036
.OOOO587
.0007640
.01
.02
.0000001
.0000015
.0000171
.0001622
.0012891
.OO83IIO
.02
.03
.0000032
.0000275
.0002031
.0012774
.0066976
.0284943
.03
.04
.0000304
.0001931
.0010591
.0049423
.0192352
.0607426
.04
.05
.0001602
.0008061
.0035005
.0129324
.0398459
.0996147
.05
.06
.0005831
.0024186
.OO806O6
.0263828
.O670265
. 1381688
.06
.07
.0016408
.0057703
.0175228
.0452673
.0975258
.1704868
.07
.08
.0038197
.0116279
.0305646
.0683458
.1274559
.1928607
.08
.09
.0076873
.0205751
.0475512
.0934879
.1532866
.2039339
.09
.10
.0137795
.0328276
.0675309
.1181792
.1724777
.2042499
.10
.11
.0224716
.0481276
.0890050
.1400254
.1837189
.1955359
.11
.12
.0338679
.0657437
.1101989
.1571355
. 1868638
.1803071
.12
.13
.0477370
.0845657
.1293577
.1683309
.1826792
.1608613
.13
.14
.O635083
.1032678
.1449963
.1731901
.1725214
.]394440
.14
.15
.0803295
.1204944
.1560688
.1719648
.1580216
.1178232
.15
.16
.0971686
.1350357
.1620429
.1654187
.1408295
.0972835
.16
.17 '
.1129397
.1459620
. 1628886
•1546377
.1224318
.0786519
.17
.18
.1266307
.1527018
.1590038
.1408459
.1040484
.0623631
.18
.19
.1374097
.1550646
.1511005
.1252544
.0865912
.0485726
.19
.20
.1447002
.1532119
.1400795
.1089507
.0706708
.0371951
.20
.21
.1482167
.1475939
.1269107
.0928329
.0566316
.0280319
.21
.22
.1479638
.1388644
.1125343
.0775805
.0446040
.0208080
.22
• 23
.1442029
.1277910
.0977880
.0636566
.0345586
.0152232
.23
.24
.1373977
.1151715
.0833623
.0513295
.0263584
.0109327
.24
• 25
.1281478
.1017644
.0697814
.0407058
.0198028
.0078169
.25
.26
.1171214
.0882386
.0574035
.0317682
.0146622
.0054910
,26
.27
.1049924
.0751416
.0464367
.0244127
.0107035
.0038077
.27
.28
.0923898
.0628872
.0369623
.0184811
.0077064
.0026074
.28
.29
.0798614
.0517560
.0289630
.0137879
.0054741
.0017634
.29
.30
.0678510
.0419080
.0223509
.0101407
.0038370
.0011780
• 30
.31
.0566897
.0334008
.0169928
.0073544
.0026545
.0007774
.31
.32
.0465987
.0262117
.0127314
.0052606
.0018128
.0005068
• 32
.33
.0376984
.0202604
.0094022
.0037118
.0012221
.0003265
.33
.34
.0300255
.0154283
.0068455
.0025838
.0008134
.0002077
.34
.35
.0235496
.0115768
.0049143
.0017746
.0005344
.0001306
• 35
• 36
.0181925
.OO856II
.0034788
.0012026
.0003467
.0000811
.36
.37
.0138447
.0062400
.0024285
.0008041
.0002220
.0000497
•37
.38
.0103802
.0044831
.0016719
.0005304
.0001404
.OOOO3UI
.38
.39
.0076683
.0031748
.OOII351
.0003452
.0000875
.0000180
•39
.40
.0055816
.0022162
.0007599
.0002216
.0000539
.0000107
.40
.41
.0040032
.0015248
.0005016
.0001403
.0000328
.0000062
.41
.42
.0028288
.0010340
.0003264
.0000876
.0000197
.0000035
.42
.43
.0019693
.0006910
.0002094
.0000540
.0000116
.0000020
.43
.44
.0013505
.0004550
.0001324
.0000327
.0000068
.OOOOOll
.44
.45
.0009122
.0002952
.0000824
.0000196
.0000039
.0000006
• 45
. 46
.0006068
.0001886
.0000506
.0000115
.0000022
.0000004
.46
.47
.0003974
.0001186
.0000306
.0000067
.0000012
.0000002
,47
.48
.0002561
.0000735
.0000182
.0000038
.0000007
.0000001
.48
.49
.0001625
.0000448
.0000106
.0000022
.0000003
.0000001
.49
• 50
.0001014
- ■ ■ - -
.0000269
.0000061
.0000012
.0000002
.0000000
• 30
146
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
| n=42 r= 3
n=42 r= 2
n=42 r- 1
n=42 r~ 0
n=43 r= 38
n=43 r*>7
p
.01
.0077574
.0575984
.2781585
.6556592
.0000000
.0000000
.01
.02
.0417685
.1534993
.3669005
.4280507
.0000000
.0000000
.02
.03
.0944938
.2291475
.3614195
.2782357
.0000000
.0000000
.03
.04
.1495202
.2691364
.3150866
.1800494
.0000000
.0000000
.04
.05
.1941210
.2766224
.2563818
.1159822
.0000000
.0000000
.05
.06
.2220148
.2608674
.1993621
.0743652
..0000000
.0000000
.06
.07
.2323116
.2314820
.1500197
.0474552
.0000000
.0000000
.07
.08
.2274768
.1961988
.1100627
.0301362
.0000000
.0000000
.08
.09
.2114870
.1603777
.0791023
.0190431
.0000000
..0000000
.09
.10
.1885383
.1272634
.0558718
.0119725
.0000000
.0000000
.10
.11
.1623043
.0984893
.0388716
.0074882
.0000000
.0000000
.11
.12
.1356157
.0745886
.0266821
.0046588
.0000000
.0000000
.12
.13
.1104137
.0554191
.0180918
.0028828
.0000000
.0000000
.13
.14
.0878548
.0404760
.0121287
.0017739
.0000000
.0000000
.14
.15
.0684784
.0291034
.0080448
.OOIO854
.0000000
.0000000
.15
.16
.0523835
.0206260
.0052822
.0006603
.0000000
.0000000
.16
.0393854
.0144219
.0034348
.0003993
.0000000
.0000000
.17
.18
.0291407
.0099564
.0022125
.0002400
.0000000
.0000000
.18
.19
.0212382
.0067907
.0014122
.0001433
.0000000
.0000000
.19
.20
.0152595
.0045779
.0008932
.0000851
.0000000
.0000000
.20
.21
.OIO8158
.0030516
.0005599
.0000502
.0000000
.0000000
.21
.22
.0075666
.0020120
.0003480
.0000294
.0000000
.0000000
.22
• 23
.0052271
.0013125
.0002143
.0000171
.0000000
.0000000
*23
.24
.0035670
.0008472
.0001308
.0000099
.0000000
.0000000
.24
.25
.0024052
.0005411
.0000792
.0000057
.0000000
.0000000
.25
.26
.0016028
.0003422
.0000475
.0000032
.0000000
.0000000
.26
.27
.0010559
.0002141
.0000283
.0000018
.0000000
.0000000
.27
.28
.0006877
.0001326
.0000167
.0000010
.0000000
.0000000
.28
.29
.0004428
.0000813
.0000097
.0000006
.0000000
.0000000
.29
• 30
.0002819
.0000494
.0000056
.0000003
.0000000
.0000000
.30
.31
.0001775
.0000296
.0000032
.0000002
.0000000
.0000000
.31
.32
.0001105
.0000176
.0000018
.0000001
.0000000
.0000000
.32
.33
.0000680
.0000103
.0000011
.0000000
.0000000
.0000000
.33
.34
.0000414
.0000060
.0000006
.0000000
.0000000
.0000000
.34
.35
.0000249
.0000035
.0000003
.0000000
.0000000
.0000000
.35
.36
.0000148
.0000019
.0000002
.0000000
.0000000
,0000000
.36
.37
.0000087
.0000011
.0000001
.0000000
.0000000
.0000000
'll
.38
.0000050
.0000006
.0000001
.0000000
.0000000
.0000000
.38
.39
.0000029
.0000004
.0000000
.0000000
.0000000
.0000000
.39
.40
.0000016
.0000002
.0006000
.0000000
.0000000
.0000000
.40
.41
.0000009
.0000001
.0000000
.0000000
.0000000
.0000000
.41
.42
.0000005
.0000001
.0000000
.0000000
.0000000
.0000000
.42
• (*3
.0000003
.0000000
.0000000
.0000000
.0000000
.0000000
.43
.44
.0000002
.0000000
.0000000
.0000000
.0000000
.0000000
.44
.45
.0000001
.0000000
.0000000
.0000000
.0000000
.0000000
.^5
. 46
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
. 46
.47
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.47
.48
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.48
.49
.OQOOOOO
.0000000
.0000000
.0000000
.0000001
.0000003
.49
. 50
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.50
147
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n-43 r-36
n=43 r-35
n-43 r=34
n=43 r=33
n=43 r=32
n=43 r*31
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.oooocoo
.14
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
. 000000,0
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.OOOOOO0
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0003000
.0000000
.0000000
.0000000
.28
.29
.oooocoo
.0000000
.0000000
.0030000
.0000000
.0000000
.29
• 30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.oooocoo
.0000000
.000000Q
.0030000
.0000000
.0000000
.51
• 32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.52
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.53
.34
.0000000
.oocoooo
.0000000
.0003000
.0000001
.0000003
.35
.0000000
.0000000
.0000000
.0000000
.0000002
.0000006
.35
• 36
.0000000
.0000000
.0000000
.0000001
.0000002
.0000013
.36
.37
.0000000
.0000000
.0000000
.0000001
.0000006
.0000024
•37
.38
.0000000
.0000000
.0000000
.0000003
.0000010
.0000047
.38
.39
.0000000
.0000000
.0000001
.0000004
.0000021
.0000086
•39
.40
.0000000
.0000000
.0000002
.0000009
.0000038
.0000154
.40
.41
.0000000
.0000001
.0000003
.0000016
.0000071
.0000270
.41
.42
.0000000
.0000001
.0000007
.0000030
.0000127
.0000465
.42
.*3
.0000000
.0000003
.0000012
.0000056
.0000221
.0000783
. 43
.44
.0000001
.0000005
.0000023
.0000099
.0000381
.0001291
.44
.45
.0000002
.0000009
.0000042
.0000175
.0000640
.0002088
.45
. 46
.0000003
.0000016
.0000075
.0000301
.0001058
.0003311
. 46
.47
.0000006
.0000030
.0000132
.0000507
.0001714
.0005154
.47
.48
.0000011
.0000054
.0000228
.0000839
.0002726
.0007876
.48
.49
.0000021
.0000095
.0000385
.0001365
.0004259
.0011823
.49
• 5^
.0000037
.0000165
.0000641
.0002180
.0006539
.0017438
.50
148
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n=45 r*5C
n=43 r=29
n-43 r=28
n=43 r=27
n=43 r* 26
n-43 r-25
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
. 06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.22
.25
.0000000
.0000000
.0000000
.0000000
.0000002
.0000006
.23
.24
.000000c
.0000000
.0000000
.0000001
.0000003
.0000014
.24
.25
.000000c
.0000000
.0000000
.0000002
.0000007
.0000030
.25
.26
.0000000
.0000000
.0000001
.0000003
.0000016
.0000064
.26
.27
.0000000
.000000^
.0000002
.0000008
.0000032
.0000129
.27
.28
.0000000
.0000001
.0000004
.0000016
.0000067
.0000248
.28
.29
.0000000
.0000002
.0000008
.0000034
.0000131
.0000464
.29
• 30
.0000001
.0000004
.0000016
.0000067
.0000249
.0000840
.30
.31
.0000002
.0000008
.0000033
.0000129
.0000458
.0001470
.31
.32
.0000005
.0000016
.0000065
.0000241
.0000815
.0002501
.32
.33
.0000007
.0000031
.0000123
.0000438
.0001409
.0004134
.33
.3*
.0000014
.0000061
.0000226
.0000770
.0002372
.0006651
.34
.35
.0000028
.0000113
.0000406
.0001318
.0003888
.0010431
.35
.36
.000005^
.0000206
.0000707
.0002201
.0006214
.0015958
.36
.37
.0000101
.0000365
.0001203
.0003585
.0009693
.0023842
.37
.38
.0000181
.0000633
.0001997
.0005701
.0014774
.0034817
.38
.39
.0000519
.0001071
.0003238
.0008862
.0022017
.0049740
.39
.40
.0000551
.0001770
.0005134
.0013477
.0032106
.0069564
.40
.41
.0000929
.0002863
.0007966
.0020061
.0045848
.0095300
.41
.42
.0001552
.0004533
.0012104
.0029249
.0064153
.0127967
.42
.43
.0002476
.0007031
.0018020
.0041801
.0088006
.0168507
.43
.44
.0005920
.0010689
.0026303
.0058584
.0118420
.0217701
.44
-*5
.0006086
.0015938
.0037661
.0080554
.0156369
.0276058
.45
. 46
.0009270
.0023317
.0052922
.0108719
.0202701
.0343711
. 46
.47
.0015859
.0033488
.0073011
.0144079
.0258043
.0420313
.47
.48
.0020347
.0047232
.0098926
.0187548
.0322692
.0504953
.48
.49
.0029542
.0065444
.0131689
.0239862
.0396506
.0596109
.49
.50
.0041583
.0089106
.0172273
.0301477
.0478817
.0691624
.50
149
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P 9.
p
n-43 r=24
n=43 r=23
n =43 r=22
n=43 r=21
n=43 r=20
n=43 r=!9
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
. 00000(50
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooto
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000002
.0000013
.14
.15
.0000000
.0000000
.0000000
.0000002
.0000007
.0000036
.15
.16
.0000000
.0000000
.0000001
.0000004
.0000021
.0000093
.16
.17
.0000000
.0000001
.0000002
.0000012
.0000054
.0000218
.17
.18
.0000000
.0000002
.0000006
.0000031
.0000128
.0000484
.18
.19
.0000001
.0000004
.0000017
.0000072
.0000284
.0001008
.19
.20
.0000002
.0000010
.OOO 0 O 4 O
.0000163
.0000595
.0001982
.20
.21
.0000005
.0000022
.0000092
.0000344
.0001181
.0003703
.21
.22
.0000012
.0000050
.0000195
.0000690
.0002234
.0006602
.22
.23
.0000026
.0000108
.0000395
.0001322
.0004039
.0011271
.23
.24
.0000058
.0000220
.0000766
.0002423
.0007006
.0018487
.24
.25
.0000121
.0000432
.0001423
.0004267
.0011688
.0029219
.25
.26
.0000238
.0000816
.0602543
.0007237
.0018807
.0044607
,26
.27
.0000456
.0001480
.0004384
.0011851
.0029257
.0065919
.27
.28
.0000840
.0002594
.0007302
.0018779
.0044090
.0094477
.28
.29
.0001496
.0004394
.0011782
.0028845
.0064481
.0131555
.29
• 30
.0002577
.0007215
.0018440
.0043027
.0091666
.0178239
• 30
• 31
.0004307
.0011504
.0028043
.0062418
.0126850
.0235286
-31
.32
.0006992
.0017830
.0041498
.0088182
,0171093
.0302977
• 32
.33
.0011043
.0026906
.0059829
.0121472
.0225178
.0380984
.33
.34
.0016990
.0039575
.0084138
.0163328
.0289479
.0468274
• 34
.35
.0025488
.0056801
.0115535
.0214565
.0363828
.0563067
.35
.36
.0037327
.0079631
.0155050
.0275644
.0447421
.0662847
• 36
.37
.0053414
,0109139
.0203528
.0346549
.0538760
.0764455
•37
.38
.0074748
.0146347
.0261517
.0426687
.0635636
.0864241
.38
.39
..0102368
.0192137
.0329143
. 05 l 48 r 2
.0735201
.0958275
.39
.40
.0137296
.0247134
.0406006
.0609009
.0834077
.1042596
.40
.41
.0180446
.0311599
.6491104
.0706710
.0928541
.1113494
.41
.42
.0232520
.0385320
.0582785
.0804799
.1014745
.1167763
.42
.43
.0293908
.0467519
.0678757
.0899747
.1088977
.1202939
.43
.44
.0364572
.0556801
.0776146
.0987822
.1147905
.1217475
.44
.45
.0443954
.0651132
.0871622
.1065315
.1188830
.1210846
.45
. 46
.0530904
.0747882
.0961562
.1128791
.1209875
.1183574
. 46
.47
4, O
.0623643
.0843909
.1042275
.1175332
.1210124
.1137173
.47
.48
.0719780
.0935713
.1110232
.1202751
.1189678
.1074014
.48
.49
.0816367
.1019626
.1162315
.1209755
.1149644
.0997140
.49
• 50
.0910032
.1092038
.1196042
.1196042
.1092038
.0910032
.50
150
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n=43 r=l8
n=*J3 r-17
n=43 r =16
n=43 r=15
n=43 r=l4
n=43 r=13
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.06
.07
.0000000
.0000000
.0000000
.0000001
.0000007
.0000040
.07
.08
.0000000
.0000000
.0000001
.0000005
.0000031
.6000165
.08
.09
.0000000
.0000001
.0000004
.0000022
.0000116
.6000549
.09
.10
.0000001
.0000002
.0000016
.0000079
.0000369
.0001551
.10
.11
.0000002
.0000010
.0000053
.0000242
.0001014
.0003828
.11
.12
.0000007
.0000034
.0000155
.0000651
.0002471
.0008453
.12
.13
.0000021
.00000.98
.0000410
.0001571
.0005439
.0016984
.13
.14
.0000060
.00002 5*4
.0000984
.0003455
.0010976
.0031465
.14
.13
.0000155
.0000607
.0002164
.0007008
.0020541
.0054320
.15
.16
.000036 7,
.0001336
.0004416
.0013247
.0035973
.0088134
.16
.17
.0000812
.0002742
.0008430
.0023520
.0059395
.0135327
.17
.18
.0001676
.0005288
.0015166
.0039481
.0093028
.0197772
.18
.19
.0003265
.0009635
.0025864
.0063008
..0138936
.0276410
.19
.20
.0006025
.0016684
.0042020
.0096045
.0198714
.0370933
.20
.21
.0010587
.0027574
.0065310
.0140396
.0273184
.0479590
.21
.22
.0017788
.0043662
.0097468
.0197467
.0362127
.0599155
.22
.23
.0028677
.0066465
.0140100
.0268018
.0464109
.0725087
.23
.24
.0044495
.0097544
.0194487
.0351930
.0576436
.0851844
.24
.25
.0066622
.0138366
.0261360
.0448045
.0695243
.0973339
.25
.26
.0096488
.0190122
.0340701
.0554108
.0815730
.1083456
,26
.27
.0135450
.6253535
.0431600
.0666811
.0932513
.1176579
.27
.28
.0184637
.0328693
.0532170
.0781963
.1040051
.1248060
.28
.29
.0244784
.0414899
.0639569
.0894767
.1133088
.1294585
.29
• 30
.0316078
.0510586
.0750122
.1000161
.1207092
.1314^88
.30
.31
.0398014
.0613316
.0859521
.1093217
.1258597
.1307318
• 31
• 32
.0489308
.0719848
.0963129
.1169514
.1285458
.1274745
*32
.33
.0587870
.0826306
.1056299
.1225490
.1286957
.1219359
.33
.34
.0690842
.0928417
.1134732
.1258694
.1263800
.1144855
.34
.35
.0794728
.1021793
.1194796
.1267946
.1217978
.1055581
.35
.36
.0895580
.1102252
.1233797
.1253381
.1152534
.0956176
♦ 36
.37
.0989247
.1166119
.1250163
.1216375
.1071272
.0851226
.37
.38
.1071660
.1210499
.1243533
.1159384
.0978428
.0744979
.38
.39
.1139118
.1233483
.1214740
.1085703
.0878353
.0641123
• 39
.40
.II8856O
.1234274
.1165703
.0999174
.0775221
.0542655
.40
.1217783
.1213212
.1099235
.0903900
.0672793
.0451811
.41
.42
.1225596
.1171722
.1018800
.0803951
.0574250
.0370073
.42
.43
.1211891
.1112164
.0928241
.0703119
.0482091
.0298224
. 43
.44
.1177629
.1037632
.0831503
. 060 4:7-30-
.0398098
.0236446
.44
.45
.1124740
.0951704
.0732381
.0511505
.0323364
.0184438
.45
.46
.1055954
.0858183
.0634310
.0425499
.0258362
.0141537
. 46
.47
.09Y458I
.0760844
.0540204
.0348096
.0203034
.0106845
.47
.48
.0884272
.0663204
.0452371
.0280038
.0156919
.0079331
.48
.1*9
.0788758
.0568352
.0372457
.0221520
.0119256
.0057924
.49
. 50
.0691624
.0478817
.0301477
.0172273
.0089106
.0041583
. 50
832939 0 - 50 - 11
151
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=43 r =12
n=43 r=ll
n=43 r=lo
n=43 r= 9
n=43 r* 8
n=43 r* 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.01
.02
.0000000
.0000000
.0000000
.0000002
.0000018
.0000199
.02
.03
.0000000
.0000000
.0000005
.0000039
.0000328
.0002354
•03
.04
.0000001
.0000006
..0000053
.0000369
.0002277
.0012144
.04
.05
.0000008
.0000054
.0000345
.0001925
.0009408
.0039721
.05
.06
.0000049
.0000288
.0001504
.0006934
.0027930
.0097239
.06
.07
.0000224
.0001115
.0004939
.0019298
.0065930
.0194649
.07
.08
.0000794
.0003428
.0013140
.0044445
.0131427
.0335871
.08
.09
.0002328
.0008827
.0029750
.0088473
.0230029
.0516855
.09
.10
.0005852
.0019750
.0059252
.0156843
.0362979
.0725957
.10
.11
.0012990
.0039411
.0106291
.0252937
.0526242
.0946172
.11
.12
.0025997
.0071492
.0174759
.0376930
.0710783
.1158313
.12
.13
.0047666
.0119622
.0266850
.0525247
.0903887
.1344242
.13
.14
.0081054
.0186714
.0382321
.0690746
.1091098
.1489434
.14
.15
.0129083
.0274302
.0518126
.0863543
.1258305
.1584532
.15
.16
.0194038
.0382011
.0668520
.1032273
.1393569
.1625830
.16
.17
.0277074
.0507290
.0825589
.1185536
.1488394
.1614860
.17
.18
.0377822
.0645446
.0980122
.1313236
.1538361
.1557354
.18
.19
.0494159
.0790004
.1122638
.1407641
.1543114
.1461897
.19
.20
.0622211
.0933316
.1244422
.1464025
.1505854
.1338538
.20
.21
.0756588
.1067329
.1338397
.1480859
.1432505
.1197543
.21
.22
.0890826
.1184393
.1399738
.1459620
.1330718
.1048444
.22
.23
.1017969
.1277993
.1426167
.1404281
.1208904
.0899377
.23
.24
.1131212
.1343315
.1417944
.1320633
.1075373
.0756745
.24
.25
.1224524
.1377589
.1377589
.1215520
.0937687
.0625124
.25
.26
.1293158
.1380197
.1309417
.1096119
.0802215
.0507383
,26
.27
.1334018
.1352547
.1218961
.0969327
.0673913
.0404902
.27
.28
.1345835
.1297769
.1112373
.0841291
.0556282
.0317876
.28
.29
.1329147
.1220293
.0995872
.0717108
.0451461
.0245622
.29
.30
.1286123
.1125357
.0875277
.0600681
.0360408
.0186879
• 30
.31
.1220253
.1018518
.0755675
.0494702
.0283142
.0140049
.31
.32
.1135962
.0905220
.0641198
.0400748
.0218981
.0103407
• 32
.33
.1038183
.0790435
.0534941
.0319439
.0166772
.0075244
.33
.34
.0931959
.0678412
.0438972
.0250624
.0125101
.0053966
• 34
.35
.0822089
.0572526
*0354420
.0193592
.0092449
,0038154
.35
• 36
.0712849
.0475232
.0281619
.0147252
.0067315
.0026594
.36
•37
.0607807
.0388093
.0220269
.OIIO3IO
.0048297
.0018275
•£/
.38
.0509722
.0311869
.0169614
.0081393
.0034148
.0012382
.38
.39
.0420521
.0246652
.0128596
.0059159
.0023793
.0008270
.39
.40
.03^1347
.0192008
.0096004
.0042355
.0016337
.0005445
.40
• 4 J.
.0272651
.0147132
.0070575
.0029871
.0011053
.0003534
.41
.42
.0214312
.0110983
*0051088
.0020750
.0007368
.0002261
.42
.43
.0165779
.0082407
.0036413
.0014197
.0004839
.0001425
• 43
.44
.0126197
.OO6023O
.0025552
.0009565
.0003131
.OOOO885
.44
.45
.0094533
.0043327
.0017652
.0006345
.0001995
.0000541
.45
.46
.0069677
.0030673
.0012002
.0004145
.0001250
.0000327
. 46
.47
.0050526
.0021366
.0008032
.0002663
.0000773
.0000193
.47
.48
.0036040
.0014641
.0005287
.0001685
.0000469
.0000113
.48
.49
.0025282
.0009868
.0003423
.0001048
.0000281
.0000065
.‘49
• 50
.0017438
.0006539
.0002180
.0000641
.0000165
.0000037
• 50
152
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=43 r- 6
n=43 r= 5
n=43 r- 4
n=43 r= 3
n=43 r- 2
n-43 r= 1
p
.01
.0000042
.0000657
.0008340
.0082557
.0598041
.2819335
.01
.02
.0001848
.0014295
.0089802
.0440031
.1577673
.3681235
.02
.03
.0014400
.0073515
.0304742
.0985334
.2331156
.3589241
.03
.04
.0055140
.0208955
.0642937
.1543049
.2709744
.3096850
.04
.05
.0142781
.0428343
.1043401
.1982460
.2756104
.2493618
.05
.06
.0288215
.0712951
.1431995
.2243460
.2571770
.1918623
.06
.07
.0489254
.1026331
.1748145
.2322536
.2257796
.1428402
.07
.08
.0730747
.1326882
.1956301
.2249745
.1893079
.1036686
.08
.09
.0988698
.1578449
.2046137
.2068871
.1530629
.0736969
.09
.10
.1236090
.1756550
.2026787
.1824109
.1201242
.0514818
.10
.11
.1448317
.1850242
.1919249
.1552847
.0919313
.0354195
.11
.12
.1607029
.1860770
.1749442
.1282924
.0688399
.0240393
.12
.13
.1701962
.1798429
.1543031
.1032644
.0505666
.0161146
.13
.14
.1730965
.1678906
.1322215
.0812218
.0365073
.0106790
.14
.15
.1698733
.1519919
.1104215
.0625721
.0259446
.0070009
.15
.16
.1614844
.1338622
.0900995
.0473022
.0181710
.0045428
.16
.17
.1491627
.1149892
.0719766
.0351416
.0125541
.0029188
.17
.18
.1342223
.0965459
.0563872
.0256875
.0085625
.OOI8575
.18
.19
.1179084
.0793677
.0433791
.0184932
.0057687
.0011711
.19
.20
.1012947
.0639756
.0328080
.0131232
.0038409
.0007316
.20
.21
.0852306
.0506257
.0244165
.0091853
.0025284
.0004529
.21
.22
.0703256
.0393689
.0178950
.0063^6
.0016459
.0002779
.22
.23
.0569641
.0301114
.0129241
.0043268
.0010599
.0001689
.23
.24
.0453364
.0226683
.0092029
.0029142
.0006753
.0001018
.24
.25
.0351*801
.0168063
.0064640
.0019392
.0004256
.0000609
.25
.26
.0273207
.0122777
.0044800
.0012751
.0002655
.0000360
,26
.27
.0207112
.0088417
.0030647
.0008286
.0001640
.0000211
.27
.28
.0154642
.0062787
.0020699
.0005323
.0001001
.0000123
.28
.29
.0113769
.0043980
.0013804
.0003380
.0000605
.0000071
.29
.30
.0082496
.0030393
.0009092
.0002121
.0000363
.0000040
.30
.31
.0058975
.0020726
.0005914
.0001317
.0000214
.0000023
.31
.32
.0041573
.0013948
.0003801
.0000807
.0000126
.0000012
.32
.33
.0028902
.0009266
.0002411
.0000490
.0000073
.0000007
.33
.3*
.0019819
.0006074
.0001512
.0000293
.0000042
.0000004
.34
.35
.0013406
.0003930
.0000936
.0000174
.0000024
.0000002
.35
• 36
.0008944
.0002511
.0000572
,0000102
.0000013
.0000001
.36
•37
.0005887
.OOOI583
.0000345
.0000059
.0000007
.0000001
.38
.0003822
.0000984
.0000206
.0000034
.0000004
.0000000
.38
.39
.0002447
.0000605
.0000121
.0000019
.0000002
.0000000
,39
.40
.0001546
.OOOO366
.0000070
.0000011
.0000001
.0000000
.40
.41
.0000963
.0000218
.0000041
.0000005
.0000001
.0000000
.41
.42
.0000591
.0000129
.0000023
.0000003
.0000000
.0000000
.42
• *3
.0000358
.0000074
.0000013
.0000002
.0000000
.0000000
.43
.44
.0000213
.0000043
.0000007
.0000001
.0000000
.0000000
.44
-*5
.0000126
.0000024
.0000003
.0000001
.0000000
.0000000
.46
.0000072
.0000014
.0000002
.0000000
.0000000
.0000000
.46
.47
.0000041
.0000008
.0000001
.0000000
.0000000
.0000000
.47
.48
.0000018
.0000009
.0000001
.0000000
.0000000
.0000000
.48
.1*9
.0000013
.0000002
.0000000
.0000000
.0000000
.0000000
.49
.50
.0000007
.0000001
.0000000
.0000000
.0000000
.0000000
• 5^
153
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n*43 r-0
n=^4 r=39
n-44 r=58
n-44 r=37
n=44 r-36
n=44 r=35
p
.01
.6491026
.6000000
.6000000
.0000000
.0000000
.0000000
.01
.02
,4194897
.6000000
.6000000
.0000000
.0000000
.0000000
.02
.03
• 2698886
.0000000
.0000000
.6000000
.0000000
.0000000
.05
.04
.1728475
.6000000
.6000000
.0000000
.0000000
.0000000
.04
.05
.1101831
.6000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0699033
.9000000
.6000000
.0000000
.0000000
.0000000
.06
.07
.0441333
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
• .0277253
.6000000
.6000000
.0000000
.0000000
.0000000
.08
.09
.0173293
.6000000
.6000000
.0000000
.0000000
.0000000
.09
.10
.0107753
.6000000
.6000000
.0000000
.0000000
.0000000
.10
.11
• 0066645
.6000000
.6000000
.0000000
.0000000
.0000000
.11
.12
.0040997
.0000000
.6000000
.0000000
.0000000
.0000000
.12
.13
.0025080
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0015256
.0000000
.6000000
.0000000
.0000000
.0000000
.14
.15
.0009226
.0000000
.6000000
.0000000
.0000000
.0000000
.15
as,
.0005546
.6000000
.6000000
.0000000
.0000000
.0000000
.16
.17
.0003314
.6000000
.6000000
.0000000
.0000000
.0000000
.17
.18
.0001968
.6000000
.0000000
.0000000
.0000000
.0000000
. 18
.19
.0001161
.0000000
.6000000
.0000000
.0000000
.0000000
.19
.20
.0000681
.QOOOOOO
.6000000
.0000000
.0000000
.0000000
.20
.21
.0000396
.0000000
.6000000
.6000000
.0000000
.0000000
.21
.22
.0000229
.9000000
.0000006
.0000000
,0000000
.0000000
.22
.23
.0000132
.0000000
.6000000
.0000000
.0000000
.0000000
*23
.24
.0000075
.6000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000042
.0000000
.6000000
.0000600
.0000000
.0000000
.25
.26
.0000024
.6000000
.6000000
.0000000
.0000000
.0000000
1 .26
.27
.0000013
.6000000
.0000000
.6000000
.0000000
.0000000
.27
.28
.0000007
,6000000
.6000000
.0000000
.0000000
.0000000
.28
.29
.0000004
.0000000
.6000000
.0000000
.0000000
.0000000
.29
.30
.0000002
.6000000
.6000000
.0000000
.0000000
.0000000
•30
.3!
.0000001
.6000000
.0000000
.0000000
.0000000
.0000000
*31
.32
.0000001
.6000000
.6000000
.0000000
.0000000
.0000000
.32
.33
.0000000
.6000000
.6000000
.0000000
.0000000
.0000000 !
1 •
.34
.0000000
.6000000
.6000000
.0000000
.0000000
.0000000
.34
.35
.0000000
.9000000
.6000000
.0000000
.0000000
.0000000
• 35
.36
.0000000
.0000000
.6000000
.0000000
.0000000
.0000000
• 36
• 37
.0000000
.6000000
.6000000
.0060000
.0000000
•OOOQOQO
• 3g
.38
.0000000
.6000000
.6000000
.0000000
.0000000
.0000000
• 39
.0000000
.9000000
.6000000
.0000000
.0000000
.0000000
.?o
.41
.42
.4}
.44
.45
.46
.47
.48
.49
.50
. 40
.41
.42
.0000000
.0000000
.0000000
.6000000
.0000000
.6000000
.0000000
.0060000
.0000000
.0000000
.0000001
.0000002
.0000000
.0000000
.6000000
.0000000
.0000001
.0000005
.43
.44
.45
.46
.0000000
.6060000
.6000000
.6000000
.0000001
.0000007 !
.0000000
.0000000
.0000000
.0000000
.0000005
.0000015
.0000000
.0060006
.0000000
.0000001
.0000005
.0000024 :
.0000000
.0000000
.0000000
.0000002
.0000009
.0000044
.47
.48
.49
.0000000
.0000000
.0000000
.0000000
.0000001
.0000001
.0000005
.0000007
.0000017
.0000051
.6000078
.0000158
.0000000
.0000000
.0000002
.0000012
.0000057
.0000258
• 50
.0000000
.0000001
.0000004
.0000021
.0000101
.0000405
154
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=44 r=34
n=44 r=33
n-44 r-32
n=44 r-31
n-44 r=3o
n=44 r=29
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
. 06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
,0000000
.0000000
.0000000
.0090000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
• 25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
,26
.27
.0000000
.ooccooo
.0000000
.0000000
.0000000
.0000001
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000002
.0000007
.30
.31
.0000000
.0000000
.0000000
.0000001
.0000003
.0000016
.31
.32
.0000000
.0000000
.0000000
.0000002
.0000007
.0000032
.32
.33
.0000000
.oococoo
.0000001
.0000003
.0000015
.0000062
.33
.34
.0000000
.0000000
.0000002
.0000007
.0000030
.0000117
.3^
.35
.0000000
.0000001
.0000003
.0000014
.0000058
.0000215
.35
• 36
.0000000
.0000002
.0000006
*0000027
.0000109
.0000387
.36
.37
.0000001
.0000002
.0000013
.0000052
.0000199
.0000675
.38
.0000001
.0000006
.0000024
.0000098
.0000352
.0001152
.38
• 39
.0000003
.0000010
.0000046
.0000177
.0000613
.0001916
.39
.40
.0000004
.0000021
.0000085
.0000312
.0001039
.0003116
.40
.41
.0000009
.0000038
.0000153
.0000540
.0001722
.0004955
. 41
.42
.0000017
.0000070
.0000269
.0000913
.0002793
.0007713
,42
.43
.0000031
.0000127
.0000463
.0001511
.0004434
.0011757
.43
1. 1.
.44
.0000056
.0000224
.0000781
.0002448
.0006898
.0017560
.44
*45
.0000101
.0000385
.0001292
.0003887
.0010519
.0025714
,45
. 46
.0000179
.0000648
.0002095
.0006052
.0015732
.0036935
.46
.47
.0000308
.0001075
.0003330
.0009245
.0023085
.0052064
.47
J, 0
.48
.0000521
.0001745
.0005198
.0013862
.0033251
.0072046
. 4o
.49
.0000865
.0002783
.0007965
.0020408
.0047032
.0097904
.49
.50
.0001411
.0004359
.0011989
.0029510
.00653^5
.0130690
. 50
155
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P <1
p
n=44 r-28
n=44 r=27
n=44 r=26
n=44 r=25
n=44 r-24
n=44 r-23
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.OOOO0OO
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000001
.0000002
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000002
; 0000006
.19
.20
.0000000
.0000000
.0000000
.0000001
.0000003
.0000016
.20
.21
.0000000
.0000000
.0000000
.0000002
.0000009
•.0000037
.21
.22
.0000000
.0000000
.0000001
.0000005
.0000020
;0000082
.22
.23
.0000000
.0000001
.0000002
.0000011
.0000045
.0000,174
.23
.24
.0000000
.0000001
.0000006
.0000625
.0000097
•.0000351
.24
• 25
.0000001
.0000003
.0000012
.0000653
.0000199
•.0000680
.25
.26
.0000002
.0000006
.0000028
.0006110
.0000388
.0001265
.26
.27
.0000003
.0000014
. 00000.59
.0000217
.0000733
•.0002264
.27
.28
.0000007
. .0000031
.0000117
.0000414
.0001332
.0003911
.28
.29
.0000016
.0000062
.0000228
.0000763
.0002336
.0006536
.29
• 30
.0000032
.0000122
.0000426
.0001361
.0003968
.0010583
.30
.31
.0000063
.0000231
.0000772
.0062349
.0006538
.0016631
.31
.32
.0000121
.0000425
.0001354
.0003938
.0010461
.0025^03
.32
.33
.0000227
.0000758
.0002308
.0006414
.0016278
.0037771
.33
.34
.0000411
.0001314
.0003827
.0010167
.0024668
.0054727
.34
.35
.0000725
.0002218
.0006178
.0015701
.0036447
.0077358
.35
• 36
.0001245
.0003645
.0009722
.0023651
.0052556
.0106782
.36
.37
.0002084
.0005845
.0014929
.0034783
.0074032
.0144063
.38
•0003404
.0009149
.0022390
.0049991
.0101955
.0190112
.38
.39
.0005431
.0013993
.0032829
.0070265
.0137378
.0245569
.39
.40
.0008471
.0020928
.00.47090
.0096656
.0181232
.0310683
.40
.41
.0012925
.0030633
.0066124
.0130210
.0234219
.0385196
.41
.42
.0019305
.0043909
.0090954
.0171879
.0296697
.0468255
.42
.^3
.0028245
.0061670
.0122621
.0222430
.0368561
.0558351
.43
.44
.0040506
.0084911
.0162104
.0282325
.0449152
.0653313
.44
.45
.0056962
.0114671
.0210235
.0351606
.0537184
w50352
.45
.46
.0078589
.0151951
.0267565
.0429820
.0630714
.08^6175
. 46
.47
.0106413
.0197642
.0334310
.0515878
.0727169
.0937141
.47
1.0
.48
.0141464
.0252417
.0410177
.0608070
.0823428
.1019483
.48
.49
.0184693
.0316618
.0494311
.0704036
.0915964
.1089543
.49
.50
——
.0236875
■ ■ ■ -
.0390147
.0585220
.0800828
.1001035
.1144040
.50
156
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=44 r=22
n=44 r-21
n=44 r=20
n-44 r=19
n=44 r=l8
n=44 r=17
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
..0000000
..0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.ooopooo
.03
.04
.0000000
.0000000
.0000000
.0600000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
. OO'OOOOO
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
..0000000
.0000001
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000002
.0000015
.11
.12
.0000000
.0000000
.0000000
.0000002
.0000010
.0000048
.12
.13
.0000000
.0000000
.;0000001
.0000007
.0000031
.0000138
.13
.14
.0000000
.0000001
.0000004
.0000019
.0000087
.00.00357
.14
.15
.0000001
.0000002
.0000012
.0000053
.0000223
.0000840
.15
.16
.0000002
.0000007
.0000032
.0000136
.0000523
.0001828
.16
.17
.0000004
.0000019
.0000082
.0000319
.0001140
.0003709
.17
.18
.0000011
.0000048
.0000192
.0000699
.0002326
.0007066
.18
.19
.0000027
;0000113
.0000422
.0001436
.0004475
.0012719
.19
.20
.0000065
.0000249
.0000872
.0002791
.0008156
.0021752
.20
.21
.0000144
.0000520
.0001711
.0005148
.0014155
.0035498
.21
.22
.0000304
.0001030
.0003195
.0009062
,0023481
.0055499
.22
• 23
.0000608
.0001947
.0005703
.0015274
.0037368
.0083401
*23
.24
.0001163
,0003523
.0009762
.0024729
.0057226
.0120811
.24
.25
.0002134
.0006122
.0016071
.0038570
,0084557
.0169115
.25
.26
.0003764
.0010245
.0025515
.0058096
.0120833
.0229272
,26
.27
.0006400
.0016551
.0039155
.0084692
.0167333
.0301613
.27
.28
.0010517
.0025865
.0058199
.0119722
.0224972
.0385666
.28
.29
.0016731
.0039180
.0083932
.0164391
.0294118
•0480053
.29
.30
,0025816
.0057619
.0117638
.0219591
.0374430
.0582447
.30
• 31
.0038699
.0082392
.0160466
.0285731
.0464758
.0689639
.31
.32
,0056437
.0114714
.0213296
.0362603
.0563081
.0797697
.32
.33
.0080171
.0155695
.0276594
.0449256
.0666554
.0902204
.33
.3*
.0111063
.0206219
.0350269
.0543947
.0771618
.0998564
.34
.35
.0156196
.0266807
.6433561
.0644148
.0874202
.1082344
.35
• 36
.0198464
.0337484
.0524974
.0746631
.0969982
.1149608
.36
• 37
.0256447
.0417666
.0622267
.0847629
.1054689
.II 97215
.38
.0324282
.0506087
.0722506
.0943061
.1124419
.1223051
.38
• 39
.0401554
.0600764
.0822199
.1028804
.1175920
.1226174
.39
.40
.0487207
.0699036
.0917485
.1100981
.1206846
.1206845
.40
• 1
.0579502
.0797661
.1004372
.1156252
.1215909
. 1166482
.41
. 42
.0676030
.0892977
.1079013
.1192052
.1202969
.1107495
.42
.43
.0773782
.0981116
.1137980
.1206789
.1169008
.1033078
.43
. 44
.0869284
.1058258
.1178516
.1199943
.1116031
.0946935
.44
.^5
.0958784
.1120897
.1198737
.1172098
.1046874
.0853009
.45
. 46
.1038487
.1166089
.1197777
.1124869
.0964979
.0755202
. 46
.47
.1104811
.1191684
.1175837
.1060755
.0874124
.0657144
.47
.48
.1154641
.1196475
.1134160
.0982938
.0778159
.0562004
. 48
.49
.1185561
.1180301
.1074917
.0895033
.0680758
.0472364
.49
.50
.1196042
.1144040
.1001035
.0800828
.0585220
.0390147
. 50
157
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=44 r=16
n-44 r=15
n=44 r=14
n=44 r=i3
n=44 r =12
n«44 r =11
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
•03
.04
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.04
.05
.0000000
.0000000
.0000000
.0000001
.0000010
.0000069
.05
.06
.0000000
.0000000
.0000002
.0000010
.0000063
.0000361
.06
.07
.0000000
.0000002
.0000008
.0000053
.0000287
.0001382
.07
.08
.0000001
.0000008
.0000041
.0000215
.0001006
.0004205
.08
.09
.0000006
.0000030
.0000156
.0000709
.0002913
.00-10710
.09
.10
.0000022
.0000108
.0000487
.0001981
.0007242
.0023700
.10
.11
.0000074
.0000327
.0001323
.0004836
.0015896
.0046768
.11
.12
.0000215
.0000870
.0003188
.0010559
.0031456
.OO83885
.12
.13
.0000562
.0002073
.0006940
.0020973
.0057020
.0138761
.13
.14
.0001330
.0004507
.0013845
.0038407
.0095847
.0214099
.14
.15
.0002891
.0009038
.0025608
.0065535
.0150866
.0310875
.15
.16
.0005829
.0016884
.0044319
.0105078
.0224114
.0427852
.16
.17
.0010996
.0029618
.0072303
.0159424
.0316211
.0561401
.17
.18
.0019543
.0049119
.0111882
.0230181
.0425994
.0705688
.18
.19
.0032922
.0077433
.0165057
.0317782
.0550370
.0853204
.19
.20
.0052825
.0116579
.0233158
.0421189
.0684431
.0995537
.20
.21
.0081079
.0168281
.0316529
.0537759
.0821844
.1124253
.21
.22
.0119468
.0233692
.0414273
.0663323
.0955^11
.1231769
.22
.23
.0169521
.0313119
.0524134
.0792450
.1077774
.1312073
,23
.24
.0232273
.0405811
.0642534
.0918893
.1182117
.1361226
.24
.25
.0308031
.0509845
.0764766
.1036136
.1262790
.1377589
.25
.26
.0396187
.0622130
.0885339
.1137978
.1315788
.1361794
,26
.27
.0495107
.0738551
.0998411
.1219087
.1339021
.1316478
.27
.28
.0602112
.0854228
.1098293
.1275438
.1332376
.1245858
.28
.29
.0713577
.0963880
.1179922
.1304608
.1297579
.1155211
.29
• 30
.0825133
.1062241
.1248280
.1296909
.1237893
.1050333
.30
.31
.0931967
.114*1485
.1273701
.1280327
.1157716
.0937036
• 51
.32
.1029173
.1206616
.1282029
.1230335
.1062125
.0820733
• 32
.33
.1112132
.1245774
.1264649
.1159571
.0956427
.0706122
• 33
.34
.1176879
.1260430
.1223359
.1072470
.0845753
.0597002
.34
• 35
.1220398
.1250458
.1161139
.0973858
.0734742
.0496189
• 35
• 36
.1240847
.1217076
.1081845
.0868579
.0627306
.0405532
• 36
.37
.1237662
.1162687
.0989854
.0761162
.0526513
.0325998
.37
.38
.1211557
.1090621
.0889717
.0655581
.0434538
.0257812
.38
.39
.1164415
.1004836
.0785834
.0555088
.0352712
.0200611
.39
.40 i
.1099092
.0909593
.0682194
.0462132
.0281612
.0153606
.40
.41
.1019147
.0809146
.0582191
.0378355
.0221188
.0115744
.41
. 42
.0928563
.0707477
.0488496
.0304653
.0170914
.0085827
.42
.43
l« I.
.0831438
.0608077
.0403028
.0241273
.0129929
.0062630
• ^3
. 44
.0731722
.0513812
.0326971
.0187936
.0097172
.0044972
.44
• 45
.0632986
.0^26842
.0260847
.0143981
.0071490
.0031773
.^5
.46
.0538256
.0348617
.0204622
.0108482
.0051735
.0022084
. 46
.47
J, O
.0449913
.0279917
.0157826
.0080375
.0036820
.0015099
.47
. 48
.0369651
.0220941
.0119677
.0058551
.0025769
.0010151
. 48
.49
.0298498
.0171410
.0089203
.0041930
.0017729
.0006710
.49
• 50
.0236875
.0130690
.00653^5
.0029510
.0011989
.0004359
.50
158
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
P r 23
.0000022
.0000084
.0000292
.0000939
.0002782
.0007588
*23
.24
.0000050
.0000180
.0000593
.0001803
.0005050
.0013031
.24
.25
.0000108
.0000368
.0001150
.0003311
.0008786
.0021477
.25
.26
.0000224
.0000720
.0002135
.0005834
.0014688
.0034063
,26
.27
.0000442
.0001353
.0003811
.0009890
.0023655
.0052112
.27
.28
.0000841
.0002446
.0006550
.0016170
.0036783
.0077069
.28
.29
.0001540
.000^262
.0010871
.0025549
:0055335
.0110386
.29
• 50
.0002721
.0007179
.0017449
.0039084
.0080676
.0153382
.30
.31
.0004652
.0011704
.0027137
.0057985
•0114171
.0207063
.31
.32
.0007703
.0018502
.0040955
.0083549
.0157056
.0271939
.32
.33
.0012375
.0028401
.0060066
.0117073
.0210269
.0347852
• 33
.34
.0019317
.0042389
.0085713
.0159728
.0274285
.0433836
.34
.35
.0029335
.0061585
.0119138
.0212406
.0348954
.0528046
.35
• 36
.0043386
.0087191
.0161464
.0275566
.0433369
.0627760
.36
.37
.0062-555
.0120405
.0213556
.0349078
.0525793
.0729480
•37
.38
.0088006
.0162318
.0275870
.0432100
.0623657
.0829112
.38
.39
.0120109
.0213781
.0348309
.0522998
.0723636
.0922241
.39
.40
.0162334
.0275262
.0430098
.0619341
.0821818
.1004444
.40
.41
.0213131
.03^6706
.0519707
.0717956
.0913945
.1071638
.41
.42
.0273792
.0427410
.0614826
.0815084
.0995716
.1120400
.42
.*3
.03^4310
.0515943
•0712421
.0906598
.1063103
.1148261
• 43
.44
.0424062
.0610112
.0808862
.0988282
.1112682
.1153891
.44
.45
.0511714
.0707007
.0900124
.1056145
.1141901
.1137202
.45
.46
.0605187
.0803102
.0982055
.1106732
.1149300
.1099330
. 46
.47
.0697676
.0894458
.1050672
.1137407
.1134616
.1042523
.47
.48
.0797753
.0976960
.1102471
.1146571
.1098796
.0969926
.48
.49
.0889540
.1046609
.1134717
.1133791
.1043906
.0885309
.49
.50
.0972934
.1099838
.1145666
.1099838
.0972934
.0792761
.50
184
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
| n=48 r*20
n-48
n=48 r-18
n=48 r=17
n=48 r=16
n=48 r=15
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.07
.08
.0000000
.0000000
.0000000
.0000001
.0000004
.0000025
.08
.09
.0000000
.0000000
.0000001
.0000004
.0000020
.0000100
.09
.10
.0000000
.0000001
.0000003
.0000016
.0000077
.0000338
.IQ
.11
.0000001
.0000002
.0000012
.0000058
.0000249
.0000976
.11
.12
.0000002
.0000009
.0000042
.0000179
.0000698
.0002479
.12
.13
.0000006
.0000030
.0000126
.0000489
.0001742
.0005649
.13
.14
.0000020
.0000087
.0000338
.0001206
.0003937
.0011724
.14
.15
.0000058
.0000230
.0000824
.0002713
.0008165
.0022435
.15
.16
.0000153
.0000555
.0001847
.0005630
.0015703
.0039971
.16
.0000369
.0001242
.0003840
.0010886
.0028236
.0066840
.17
.18
.0000824
.0002588
.0007469
.0019755
.0047810
.0105601
.18
.19
.0001723
.0005066
.0013678
.0033858
.0076683
.0158501
.19
.20
.0003395
.0009363
.0023722
.0055096
.0117078
.0227062
.20
.21
.0006333
.0016429
.0039144
.0085504
.0170881
.0311679
.21
.22
.0011239
.0027482
.0061710
.0127039
.0239280
.0411326
.22
.23
.0019052
.0043988
.0093267
.0181303
.0322453
.0523401
.23
.24
.0030950
.0067590
.0135555
.0249248
.0419307
.06*0785
.24
.25
.0048323
.0099980
.0189962
.0330900
.0527374
.0767088
.25
.26
.0072710
.0142722
.0257264
.0425156
.0642845
.0887096
,26
.27
.0105672
.0197038
.0337397
.0529677
.0760797
.0997320
.27
.28
•0148632
.0263585
.0429267
.0640932
.0875560
.1091607
.28
.29
.0202632
.0342239
.0530667
.0754386
.0981189
.1164713
.29
.30
.0268419
.0431939
.O6383IO
.0864807
.1072000
.1212767
.30
.31
.0345662
.0530605
.0747982
.0966694
.1143077
.1233584
• 31
.32
.0433404
.0635160
.0854820
.1054738
.1190700
.1226782
.32
.33
.0529684
.0741668
.0953680
.1124279
.1212647
.1193716
• 33
• 3 *
.0631614
.0845569
.1039552
.1171716
.1208331
.1137253
.3*
• 35
.0735492
.0942010
.1107983
.1194784
.1178782
.1061415
• 35
• 3 6
.0837014
.1026224
.1155452
.1192725
.1126462
.0970957
.36
•H
.0931565
.1093916
.1179656
.1166285
.1054976
.0870939
•3
.38
.1014572
.1141622
.1179677
.1117589
.0968700
.0766307
.38
.39
.1081860
.1166992
.1156021
.1049885
.0872381
.0661572
.39
.40
.1129999
.1168965
.1110516
.0967225
.0770756
.0560551
.40
• 41
.1156583
.1147829
.1046110
.0874091
.0668226
.0466227
. 41
.42
.1160414
.1105156
.0966573
.0775040
.0568594
.0380703
.42
.1141586
.1043630
.0876I65
.0674377
.0474906
.0305226
• 43
li h
. 44
.1101442
.0966783
.0779286
.0575894
.0389383
.0240281
.44
.45
.1042435
.0878680
.0680164
.0482697
.0313418
.0185729
.45
1 . ^
.46
.0967888
.0783598
.0582588
.0397108
.02*17652
.0140957
. 46
.47
1. 0
.0881708
.0685701
.0489717
.0320652
.0192093
.0105025
.47
1,0
• 4o
.0788064
.0588784
.0403971
.0254111
.0146246
.0076816
. 4o
.49
.0691082
.0496062
.0326996
.0197619
.0109269
.0055142
.49
. 50
.0594571
.0410049
.0259697
.0150792
.0080109
.0038840
. 50
185
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=48 r=14
n=^8 r=13
n=48 r=12
n=48 r =11
n-48 r-10
n-48 r= 9
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.02
.03
.0000000
.0000000
.0000000
.0000001
..0000013
.0000100
•03
.04
.0000000
.0000000
.0000003
.0000021
.0000145
.0000895
.04
.05
.0000001
.0000003
.0000027
.0000166
.0000909
.0004431
.05
.06
.0000004
.0000029
.0000164
.0000830
.0003767
.0015133
.06
.07
.0000027
.0000148
.0000707
.0003048
..0011720
.0039929
.07
.08
.0000124
.0000573
.0002380
.0008875
.OO29543
.0087116
.08
.09
.0000447
.0001807
.0006599
.0021637
.0063332
.0164195
.09
.10
.0001342
.0004829
.0015695
.0045813
.0119355
.0275435
.10
.11
.0003484
.0011276
.0032945
.0086450
.0202476
.0420054
.11
.12
.0008022
.0023531
.0062315
.0148207
.0314615
.0591583
.12
.13
.0016680
.0044651
.0107907
.0234210
.0453723
.0778577
.13
.14
.0031775
.0078074
.0173188
.0345038
.0613545
.0966391
.14
.15
.0056086
.0127129
.0260144
.0478101
.0784255
.1139515
.15
.15
.0092578
.0194416
.0368579
.0627581
.0953757
.1283905
.16
.17
.0143971
.0281167
.0495719
.0784953
..1109384
.1388822
.17
.18
.0212238
.0386743
.0636217
.0939997
.1239586
.14^7950
.18
.19
.0298110
.0508357
.0782601
.1082061
.1335340
.1459684
.19
.20
.0400696
.0641114
.0926054
.1201367
.1391056
.1426724
.20
.21
.0517281
.0778386
.1057410
.1290122
.1404908
.1355161
.21
.22
.0643383
.0912435
.1168193
.1343278
.1378628
.1253298
.22
.23
.0773055
.1035221
.1251517
.1358874
.1316895
.1130445
.23
.24
.0899405
.1139246
.1302750
.1337959
.1226462
.0995845
.24
.25
.1015264
.1218316
.1319843
.1284172
.1115201
.0857848
.25
.26
.IH3887
.1268118
.1303343
.1203086
.0991206
.0723366
.26
.27
.1189613
.1286545
.1256101
.1101447
.0862048
.0597622
.27
.28
.1238378
.1273760
.1182777
.0986409
.0734244
.0484117
.28
.29
.1258032
.1232003
.1089214
.0864875
.0612946
.0384785
.29
.30
.1248438
.1165208
.0981796
.0742980
.0501838
.0300245
.30
.31
.1211347
.1078490
.0866851
.0625765
.0403188
.0230107
.32
.1150107
.0977592
.0750166
.0517006
.0318027
.0173284
.32
.33
.1069238
.0868350
.0636645
.0419215
.0246381
.0128264
-33
.3^
.0973945
.0756240
.0530109
.0333741
.0187536
.0093344
.34
.35
.0869646
.0646023
.0433245
.0260951
.0140286
.0066802
.35
.36
.0761536
.0541536
.0347652
.0200449
.0103155
.0047022
.36
.37
.0654242
.0445592
.0273979
.0151299
.0074573
.0032558
.38
.0551600
.0359991
.0212100
.0112235
.0053008
.0022176
.38
• 39
.0456514
.0285615
.0161319
.0081833
.0037052
.0014859
.40
.0370952
.0222572
.0120559
.OO5865I
.0025466
.0009795
.40
.41
•0295991
.0170375
.0088535
.0041320
.0017213
.0006351
.41
.42
.0231941
.0128120
.0063890
.0028615
.0011439
.0004051
.42
.43
.0178500
.0094647
.0045306
.0019477
.0007474
.0002541
.43
. 44
.0134917
.OO68665
.0031567
.0013030
.0004801
.0001566
.44
.45
.0100148
.0048962
.0021609
.0008566
.0003031
.0000949
.45
. 46
.0073001
.0034280
.0014531
.0005532
.0001880
.0000566
. 46
.47
i, 0
.0052250
.0023568
.0009597
.0003510
.0001146
.OOOO331
.47
)i O
. 48
.0036714
.0015909
.0006224
.0002186
.0000686
.0000191
. 40
.49
.0025320
.0010542
.0003962
.OOOI337
.0000403
.0000108
.49
• 50
.0017135
.0006855
.0002475
.0000803
.0000232
.0000059
.50
186
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
l?)p P q
n-r
p
n=48 r = 8
n=48 r- 7
n=48 r= 5
n=48 r= 5
n=48 r= 4
n®48 r= 3
p
.01
.0000000
.0000005
.0000081
.0001111
.0012504
.0110035
.01
.02
.0000043
.0000412
.0003362
.0022985
.0127987
.0557454
.02
.03
.0000732
.0004619
.0024891
.0112298
.0412610
.II8587I
.03
.04
.0004831
.0022626
.0090500
.0303070
.0826557
.1763320
.04
.05
.0018943
.0070228
.0222387
.0589584
.1272966
.2149899
.05
.06
.0053342
'. 0163061
.0425770
.0930754
.1657024
.2307559
.06
.07
.0119356
.0309411
.0685126
.1270100
.1917521
.2264500
.07
.08
.0225411
.0505802
.0969453
.1555634
.2032930
.2078107
.08
.09
.0373541
.0736960
.1241915
.1752158
.2013212
.1809405
.09
.10
.0557755
.0979472
.1469209
.1845053
.1886985
.1509589
.10
.11
.0764689
.1207225
.1627926
.1837869
.1689776
.1215274
.11
.12
.0976113
.1396715
.1707095
.1746795
.1455663
.0948876
.12
.13
.1172358
.1530883
.1707524
.1594504
.1212603
.0721344
.13
.14
.1335689
.1600966
.1639084
.1404929
.0980714
.0535501
.14
.15
.1452882
.1606438
.1517192
.1199640
.0772496
.0389109
.15
.16
.1516612
.1553602
.1359402
.0995842
.0594109
.0277252
.16
.17
.1525662
.1453428
.1182692
.0805718
.0447023
.0194003
.17
.18
.1484148
.1319243
.1001648
.0636706
.0329608
.0133471
.18
.19
.1400144
.1164690
.0827543
.0492271
.0238481
.0090372
.19
.20
.1284053
.1002187
.0668124
.0372907
.0169503
.0060268
.20
.21
.1147047
.0841967
.0527900
.0277104
.0118458
.0039612
.21
.22
.0999790
.0691650
.0408703
.0202191
.0081461
.0025673
.22
.23
.0851521
.0556242
.0310367
.0144984
.0055157
.0016414
*23
.24
.0709540
.0438415
,0231386
.0102240
.0036791
.0010356
.24
.25
.0579047
.0338954
.0169477
.0070944
.0024186
.0006449
.25
.26
.0463232
.0257255
.0122031
.0048463
.0015674
.0003966
,26
.27
.0363553
.0191793
,0086425
.0032605
.0010017
.0002408
.27
.28
.0280096
.-0140536
.0060230
.0021611
.0006315
.0001443
.28
.29
.0211964
.0101257
.0041318
.0014115
.0003927
.OOOO855
.29
• 30
.0157629
.0071765
.0027909
.0009087
.0002409
.0000500
.30
.31
.0115239
.0050049
.OOI8567
.0005766
.0001458
.0000289
.31
.32
.0082851
.0034353
.0012167
.0003607
.0000871
.0000165
.32
.33
.0058593
.0023212
.0007854
.0002226
.0000513
.0000093
• 33
.34
.0040769
.0015442
.0004896
.0001453
.0000298
.0000052
.34
.35
.0027914
.0010116
.0003130
.0000812
.0000171
.0000028
.35
• 36
.0018809
.0006524
.0001933
.0000480
.0000097
.0000015
.36
•37
.0012473
.0004144
.0001176
.0000280
.0000054
.0000008
•n
.38
.0008141
.0002592
.0000705
.0000160
.0000030
.0000005
.38
.39
.0005230
.0001596
.0000416
.0000090
.0000017
.0000002
.40
.0003306
.0000968
.0000241
.0000051
.0000009
.0000001
.40
.41
.0002056
.0000578
.OOOOI38
.0000028
.0000004
.0000001
.41
.42
.0001258
.OOOO339
.0000078
.0000015
.0000003
.0000000
.42
*43
.0000757
.0000196
.0000044
.0000008
.0000001
.0000000
.43
.44
.0000449
.0000111
.0000024
.0000004
.0000001
.0000000
.44
.45
.0000262
.0000062
.0000013
.0000002
.0000000
.0000000
.45
. 46
.0000150
.0000034
.0000007
.0000001
.0000000
.0000000
. 46
.47
.0000084
.0000019
.0000003
.0000001
.0000000
.0000000
.47
UQ
.48
.0000046
.0000010
.0000002
.0000000
.0000000
.0000000
. 48
.49
.0000025
.0000005
.0000001
.0000000
.0000000
.0000000
.49
• 50
.0000014
.0000002
.0000001
.0000000
.0000000
.0000000
. 50
187
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
q“- r
p
n-48 r- 2
n=48 r= 1
n-48 r= 0
n=49 r-42
n-49 r=4l
n=49 r-40
p
.01
.0710441
.2992922
.6172901
.0000000
.0000000
.0000000
.01
.02
.1781429
.3714*170
.3791854
.0000000
.0000000
.0000000
.02
.03
.2500641
.3440599
.2317625
.0000000
.0000000
.0000000
.03
.04
.2759979
.2818702
.1409351
.0000000
.0000000
.0000000
.04
.05
.2664004
.2153876
.0852576
.9000000
.0000000
.0000000
.05
.06
.2357723
.1571816
.0513023
.0000000
.0000000
.0000000
.06
.07
.1962099
.1109271
.0307031
.0000000
.0000000
.0000000
.07
.08
.1558580
.0762710
.0182732
.0000000
.0000000
.0000000
.08
.09
.1193158
.0513369
.0108140
.0000000
.0000000
.0000000
.09
.10
.0886063
.0339343
.0063627
.0000000
.0000000
.0000000
.10
.11
.0641261
.0220782
.0037215
.0000000
.0000000
.0000000
.11
.12
.0453811
.0141614
.0021636
.0000000
.0000000
.0000000
.12
.13
.0314833
.0089659
.0012500
.0000000
.0000000
.0000000
.13
.14
.0214533
.0056078
.0007177
.0000000
.0000000
.0000000
.14
.15
.0143801
.0034675
.0004094
.0000000
.0000000
.0000000
.15
.16
.0094928
.0021207
.0002320
.0000000
.0000000
.0000000
.16
.17
.0061773
.0012834
.0001305
.0000000
.0000000
.0000000
.17
.18
.0039654
.0007687
.0000730
.0000000
.0000000
.0000000
.18
.19
.0025126
.0004558
.0000405
.0000000
.0000000
.0000000
.19
.20
.0015722
.0002676
.0000223
.0000000
.0000000
.0000000
.20
.21
.0009718
.0001556
.0000122
.'0000000
.‘0000000
.0000000
.21
.22
.0005936
.0000896
.0000066
.0000000
.0000000
.0000000
.22
.23
.0003584
.0000510
.0000036
.0000000
.'0000000
.0000000
.23
.24
.0002139
.0000288
.0000019
.0000000
.‘0000000
.0000000
.24
.25
.0001262
.0060161
.0000010
.0000000
.‘0000000
.0000000
.25
.26
.0000736
.0000089
.0000005
.0000000
.'0000000
.0000000
,26
.27
.0000424
.0000049
.0000003
.0000000
.0000000
.0000000
.27
.28
.0000242
.0000027
.0000001
.0000000
.0000000
.0000000
.28
.29
.0000136
.0000014
.0000001
.0000000
.0000000
.0000000
.29
• 30
.0000076
.0000008
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000042
.0000004
.0000000
.0000000
.0000000
.0000000
.31
.32
.Q000023
.0000002
.0000000
.0000000
.‘0000000
.0000000
.32
.33
.0000012
.0000001
.0000000
.0000000
.'0000000
.0000000
.33
.34
.0000006
.0000001
.0000000
.0000000
.'0000000
.0000000
.34
.35
.0000004
.0000000
.0000000
.0000000
.'0000000
.0000000
.35
• 36
.0000002
.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.0000001
.0000000
.0000000
.0000000
.0000000
.0000000
.38
.0000000
.0000000
.0000000
.0000000
;0000000
.0000000
.38
.39
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.39
.40
.0000000
.0000000
.0000000
.0000000
iooooooo
.0000000
.40
.41
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.41
.42
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.42
.43
.0000000
.0000000
.0000000
.ocooooo
'.0000000
.0000000
.43
.44
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.44
.45
.0000000
.0000000
.0000000
.0000000
‘.0000000
.0000002
.45
.46
.0000000
.0000000
.0000000
.0000000
*.0000001
.0000002
. 46
.47
.0000000
.0000000
.0000000
.0000000
‘.0000001
.0000005
.47
1, 0
.48
.0000000
.0000000
.0000000
.0000000
.0000003
.0000010
. 48
.49
.0000000
.0000000
.0000000
.0000001
.0000004
.0000019
.49
.50
.0000000
.0000000
.0000000
.0000002
.0000008
.0000036
.50
188
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=49 r=39
n=49 r =38
n=49 r =37
n=49 r =36
n=49 r=35
n=49 r»34
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
..0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
..0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0006000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.♦0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
..0000000
.0000000
.0000000
.0000000
.0000000
*23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
,26
.27
. OQOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
• 30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.33
• 3^
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.34
.35
.0000000
.0000000
.0000600
.0000000
.0000002
.0000068
•35
• 36
.0000000
.0000000
.0000000
.0000001
.0000004
.0000016
.36
.37
.0000000
.0000000
.0000000
.0000002
.0000008
.0000032
.38
.0000000
.0000000
.0000001
.'0000004
.0000016
.0000063
.38
.39
.6000000
.0000000
.0000002
.•0000008
.0000033
.0000118
.39
.40
.0000000
.0000001
.0000004
.•0000016
.0000062
.0000219
.40
• 4-1
.0000000
.0000002
.0000008
..*0000032
.0000117
.0000393
.41
. 42
.0000001
.0000003
.0000016
.0000060
.0000214
.0000691
.42
.0000002
.0000007
.0000030
.0000112
.0000383
.0001184
. 43
la la
. 44
.0000003
.0000014
.0000056
.0000204
.0000669
.0001984
.44
.45
.0000006
.0000027
.0000104
.0000363
.0001140
.0003252
.45
it r
.46
.0000012
.0000051
.0000189
.0000630
.0001904
.0005213
. 46
• 47
,0000024
.0000093
.0000335
.0001072
.0003110
.0008183
• 47
liQ
. 4b
.0000044
.0000169
.0000579
.0001786
.0004977
.0012581
. 4o
.49
.0000081
.0000299
.0000984
.0002916
.0007804
.0018952
.49
• 50
.0000146
.0000518
.0001639
.0004664
.0011995
.0027988
.50
189
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
r n-r
P q
p
n =49 r =^5
n =49 r= 5 2
n -49 r-31
n =49 r =30
n -49 r =29
n -49 r=28
p
.01
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.01
.02
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.02
..03
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.03
.04
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.04
.05
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.05
.06
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.06
.07
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.07
.08
.0000000
. 00 . 00.000
.0000000
.0000000
.ooooooo
.ooooooo
.08
.09
.0000000
• 00.00000
.0000000
.ooooooo
.ooooooo
.ooooooo
.09
.10
.0O00000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.10
.11
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.11
.12
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.12
.15
.0000000
.0000000
.0000000
.ooooooo
.0000009
.ooooooo
.13
.14
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.14
.15
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.15
.16
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
iooooooo
.16
.17
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.17
.18
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.18
.19
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.19
.20
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.20
.21
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.21
.22
.0000000
,0000000
.0000000
.ooooooo
.ooooooo
.0000001
.22
.23
.0000000
.0000000
.0000000
.ooooooo
.0000001
.0000002
*23
.24
.0000000
.0000000
.0000000
.ooooooo
.0000002
.0000005
.24
.25
.0000000
.0000000
.0000000
.0000001
.0000003
.0000013
.25
.26
.0000000
.0000000
.0000000
.0000002
.0000008
.0000029
.26
.27
.0000000
.0000000
.0000001
.0000004
.0000017
.0000063
.27
.28
.0000000
.0000001
.0000002
.0000009
.0000037
.0000131
.28
.29
.0000000
.0000002
.0000005
.0000021
.0000077
.0000260
.29
.30
.0000001
.0000003
.0000011
.0000044
.0000155
.0000499
.30
.51
.0000002
.0000006
.0000025
.0000090
.0000300
.0000924
• 31
.52
.0000003
.0000014
.0000051
.0000176
•0000564
.0001654
.32
.55
.0000007
.0000028
.0000102
.0000336
.0001022
.0002869
• 33
• 5*
.0000015
.0000056
.0000195
.0000618
.0001800
.0004825
.34
• 55
.0000031
.0000110
.0000364
.0001103
.0003074
.0007884
• 35
.56
.0000060
.0000209
.0000660
.0001913
.0005103
.0012528
.36
.57
.0000117
.0000383
.0001162
.0003228
.0008243
.0019383
•37
.58
.0000217
.0000686
.0001991
.0005300
.0012972
.0029227
.38
.59
.0000394
.0001195
.0003325
.0008483
.0019902
.0042989
•2 ?
.40
.0000697
.0002029
.0005412
.0013244
.0029799
.0061728
.40
• 4-1
.0001203
.0003361
.0008598
.0020186
.0043572
.0086589
.41
.42
.0002027
.0005434
.0013341
.0030058
.0062263
.0118738
.42
.0003337
.0008584
.0020231
.0043755
.0087001
.0159261
• 43
ll ll
.44
.0005367
.0013260
.0030003
.0062302
.0118941
.0209047
.44
.45
.0008445
.0020037
.0043537
.0086819
.0159169
.0268650
• 45
ll s
. 46
.0013005
.0029635
.0061848
.0118458
.0208590
.0338150
.46
.47
1 . 0
.0019608
.0042923
.0086048
.0158317
. 026,7791
.0417017
.47
1,0
. 48
.0028961
.0060903
.0117295
.0207325
.0336902
.0504017
. 4o
.49
.0041917
.0084690
.0156706
.0266113
.0415462
.0597151
.49
• 50
.0059475
.0115450
.0205245
.0334873
.0502310
.0693666
• 50
190
BINOMIitL DISTRIBUTION
Table 1 - Individual Terms
p r q
n-r
p
n =49 r -27
n =49 r =26
n =49 r - 2 5
n =49 r -24
n -49 r =23
n =49 r =22
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.00*00000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005
.15
.16
.0000000
.0000000
.0000000
.0000001
.0000003
.0000014
.16
.17
.0000000
.0000000
.0000001
.0000002
.0000009
.0000038
.17
.18
.0000000
.0000000
.0000002
.0000006
.0000024
.0000097
.18
.19
.0000000
.0000001
.0000004
.0000016
.0000062
.0000229
.19
.20
.0000001
.0000002
.0000010
.0000040
.0000148
.0000504
.20
.21
.0000002
.0000006
.0000025
.0000094
.0000328
.0001050
.21
.22
.0000004
.0000015
.0000059
.0000210
.0000686
.0002071
.22
.23
.0000009
.0000036
.0000132
.0000441
.0001363
.0003887
.23
.24
.0000022
.0000081
.0000279
.0000884
.0002582
.0006966
.24
.25
.0000049
.0000173
.0000564
.0001690
.0004679
.0011959
.25
.26
.0000105
.0000353
.0001088
.0003097
.0008136
.0019725
,26
.27
.0000217
.0000689
.0002016
.0005452
.0013607
.0031338
.27
.28
.0000427
.0001291
.0003595
.0009244
.0021941
.0048063
.28
.29
.0000810
.0002330
.0006179
.0015127
.0034187
.0071300
.29
.30
.0001482
.0004059
.0010260
.0023939
.0051562
.0102487
.30
.31
.0002617
.0006838
.0016488
.0036700
.0075403
.0142967
-31
.32
.0004473
.0011158
.0025687
.0054586
.0107071
.0193819
• 32
.33
.0007411
.0017663
.0038850
.0078879
.0147828
.0255671
.33
.34
.0011919
.0027162
.0057119
.0110878
.0198677
.0328532
.34
.35
.0018633
.0040622
.0081729
.0151782
.0260198
.0411636
• 35
• 36
.0028345
.0059156
.0113929
.0202541
.0532375
.0503350
.36
.37
.0042004
.0083960
.0154871
.0263699
.0414462
.0601158
.37
.38
.0060692
.0116245
.0205468
.0335237
.0504891
.0701731
.38
.39
.0085577
.0157129
.0265247
.0416438
.0601247
.0801092
.39
.40
.0117842
.0207506
.0337197
.0505795
.0700331
.0894868
.40
.41
.0158585
.0267898
.0417636
.0600989
.0798311
.0978599
.41
.42
.0208690
.0338311
.0506125
.0698934
.0890950
.1048083
,42
• ^3
.0268689
.0418112
.0600429
.0795917
.0973895
.1099721
• 43
.44
.0338621
.0505924
.0697563
.0887806
.1043018
.1130814
.44
.**5
.0417900
.0599596
.0793910
.0970333
.1094736
.1139786
.45
.46
.0505219
.0696228
.0885420
.1039407
.1126313
.1126314
. 46
.47
.0598504
.0792283
.0967879
.1091437
.1136096
.1091331
.47
.48
.0694932
.0883773
.1037205
.1123639
.1123639
.1036939
.48
.49
.0791031
.0966503
.1089783
.1134263
.1089747
.0966193
.49
.50
.0882847
.1036386
.1122752
.1122752
.1036386
.0882847
. 50
191
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
| n-49 r*21
n=49 r =20
n-49 r-19
n-49 r=l8
n=49 r=17
n-49 r=26
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.08
.09
.0000000
.0000000
.0000000
.0000001
.0000005
.0000028
.09
.10
.0000000
.0000000
.0000001
.0000004
.0000023
.0000103
.10
.11
.0000000
.0000001
.0000003
.0000018
.0000078
.0000329
.11
.12
.0000001
.0000002
.0000013
.0000059
.0000241
.0000911
.12
.15
.0000002
.0000010
.0000042
.0000173
.0000653
.0002249
.13
.14
.0000006
.0000030
.0000122
.0000460
.0001589
.0005026
.14
.15
.0000020
.0000085
.0000319
.0001107
.0003531
.0010305
.15
.16
.0000057
.0000218
.0000762
.0002452
.0007242
.0019585
.16
.17
.0000146
.0000517
.0001684
.0005038
.OOI3835
.0034799
.17
.18
.0000346
.0001142
.0003467
.0009680
.0024805
.0058212
.18
.19
.0000763
.0002359
.0006702
.0017512
.0041995
.0092228
.19
.20
.0001584
.0004588
.0012236
.0029996
.0067493
.0139075
.20
.21
.0003103
.0008453
.0021199
.0048880
.0103433
.0200449
.21
.22
.0005769
.0014813
.0035012
.0076082
.0151733
.0277130
.22
.25
.0010225
.0024787
.0055322
.0113516
.0213767
.0368671
.23
.24
.0017331
.0039743
.0083902
.0162842
.0290062
.0473181
.24
.25
.0028189
.0061237
.0122476
.0225196
.0380019
.0587302
.25
.26
.0044111
.0090914
.0172502
.0300917
.0481755
.0706350
.26
.27
.0066573
.0130341
.0234935
.0389312
.0592080
.0824659
.27
.28
.0097107
.0180819
.0309976
.0488533
.0706628
.0936053
.28
.29
.0137155
.0243161
.0396883
.0595545
.0820158
.1034411
.29
• 50
.0187894
.0317475
.0493850
.0706259
.0926965
.1114230
.30
.51
.0250029
.0402995
.0597991
.0815783
.1021373
.1171134
• 51
.52
.0323608
.0497965
.0705452
.0918793
.1098246
.1202246
• 52
.55
.0407857
.0599638
.0811632
.1009978
.1153441
.1206399
• 33
• 54
.0501081
.0704359
.0911523
.1084487
.1184165
.1184165
• 34
.55
.0600652
.0807774
.1000100
.2038364
.0289183
.1137703
• 35
• 56
.0703091
.0905130
.1072746
.1168870
.1168870
.1070481
.36
.57
.0804251
.0991635
.1125640
.1174708
.1125101
.0986882
.37
.38
.0899586
.1062851
.1156084
.1156083
.1061011
.0891791
.38
.59
.0984492
.1115062
.1162713
.1114628
.0980659
.0790165
•39
.40
.1054666
.1145586
.1145586
.1053199
.0888637
.068667 4
.40
• hi
.1106464
.1152994
.1106124
.0975582
.0789686
.0585407
.41
.42
.1137205
.1137206
.1046952
.0886129
.0688332
.0489680
.42
1 .1.
.1145391
.1099465
.0971520
.0789396
.0588605
.0401943
.43
.44
i, f.
.1130814
.1042192
.0884284
.0689793
.0493830
.0323778
.44
.45
.1094556
.0968746
.0789348
.0591304
.0406521
.0255958
.45
.46
.1038867
.0883114
.0691133
.0497267
.0328359
.0198572
. 46
.47
1. 0
.0966940
.0789585
.0593589
.0410256
.0260230
.0151171
.47
.48
.0882632
.0692409
.0500074
.0332038
.0202336
.0112920
.48
.49
.019 0138
.0595523
.0413219
.0263601
.0154328
.0082747
.49
^0
.0693666
.0502310
.033^873
.0205245
.0115450
.0059475
• 50
192
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
n-r
p
n=49 r*i5
n=49 r=14
n =r49 r-13
n=49 r =12
n=49 r-11
n=49 r-10
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000002
.0000015
.03
.04
.0000000
.0000000
.0000000
.0000004
.0000026
.0000175
.04
.05
.0000000
.0000001
.0000005
.0000034
.0000202
.0001086
.05
.06
.0000001
.0000006
.0000037
.0000204
.0001006
.0004449
.06
.07
.0000007
.0000036
.0000186
.0000871
.0003655
.0013695
.07
.08
.0000033
.0000160
.0000718
.0002899
.0010528
.0034149
.08
.09
.0000131
.0000570
.0002238
.0007952
.0025390
.0072410
.09
.10
.0000438
.0001691
.0005916
.0018706
.0053168
.0134963
.10
.11
.0001252
.0004342
.0013659
.OO3883I
.0099213
.0226409
.11
.12
.0003145
.0009883
.0028185
.0072622
.0168176
.0347851
*12
.13
.0007084
.0020316
.0052874
.0124327
.0262746
.0495954
.13
.14
.0014532
.0038256
.0091390
.0197247
.0382629
.0662944
.14
.15
.0027483
.0066743
.OI 4708 I
.0292837
.0524025
.0837543
.15
.16
.0048388
.0108873
.0222281
.0410020
.0679769
.1006581
.16
.17
.0079952
.0167294
.0317641
.0544889
.0840106
.1156889
.17
.18
.0i24796
.0243648
.0431649
.0690898
.0993923
.1277091
.18
.19
.0185027
.0338057
.0560463
.0839499
.1130183
.1358966
.19
.20
.0261788
.0448780
.0698102
.0981116
.1239305
.1398190
.20
.21
.0354855
.0572113
.0836981
.1106280
.1314227
.1394461
.21
.22
.0462378
.0702575
.0968701
.1206712
.1351055
.1351055
.22
.23
.0580822
.0833353
.1084969
.1276209
.1349219
.1274012
.23
.24
.0705134
.0956967
.1178487
.1311200
.1311200
.1171114
.24
.23
.0829132
.1066027
.1243698
.1310925
.1241929
.1050863
.25
.26
.0946061
.1153987
.1277277
.1277276
.1147997
.0921568
,26
.27
.1049238
.1215785
.1278325
.1214345
.1036809
.0790653
.27
.28
.1132703
.1248285
.1248285
.1127794
.0915802
.0664209
.28
.29
.1191776
,1250484
.1190594
.1024156
.0791815
.0546780
.29
• 30
.1223469
.1223468
.IIIOI85
.0910151
.0670638
.0441360
.30
.31
.1226691
.1170161
.1012882
.0792114
.0556766
.0349533
-31
.32
.1202246
.1094903
.0904815
.0675555
.0453333
.0271709
• 32
.33
.1152638
.1002945
.0791888
.0564893
.0362180
.‘0207402
.33
.34
.1081-728
,0899926
.0679355
.0463344
.0284031
.0155511
.34
.35
.0994296
.0791378
.0571551
.0372942
• .0218718
.0114567
.35
• 36
.0895565
.0682336
.0471738
.0294659
.0165423
.0082947
.36
.37
.0790761
.0577042
.0382095
.0228588
.0122910
.0059028
•37
.38
.0684718
.0478788
.0303793
.0174151
.0089729
.0041292
.38
.39
.0581599
.0389864
.0237139
.0130320
.0064368
.0028397
•? 9
.40
.0484712
.0311600
.0181766
.0095796
.0045377
.0019198
.40
.41
..0396430
.0244489
.0136820
.0069177
.0031436
.0012760
.41
.42
.0318223
.0188336
.0101144
.0049075
.0021401
.OOO8335
.42
.0250734
.0142443
.0073430
.0034200
.0014316
.0005353
.43
.44
.0193920
.0105775
.0052353
.0023411
.0009409
.0003378
.44
.45
.0147218
.0077114
.0036653
.0015740
.0006075
.0002094
• 45
.46
.0109698
-OO55189
.0025195
.0010392
.OOO3852
.0001276
. 46
.47
.0080221
.0038769
.0017002
.0006736
.0002399
.0000763
.47
.48
.0057567
.0026727
.0011260
.0004286
.0001467
.0000448
.48
.49
.0040529
.0018079
.0007317
.0002676
.0000880
.0000258
.49
.50
.0027988
.0011995
.0004664
.0001639
.0000518
.0000146
.50
193
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
rn-r
P <1
p
n-49 r= 9
n=49 r= 8
n=49 r» 7
n-49 r= 6
n-49 r» 5
n-49 r= 4
p
.01
.0000000
.0000000
.0000006
.0000091
.0001225
.0013479
.01
.02
.0000005
.0000051
.0000470
.0003754
.0025086
.0136576
.02
.03
.0000119
.0000849
.0005227
.0027513
.0121307
.0435808
.03
.04
.0001052
.0005543
.0025341
.0099003
.0324010
.0864026
.04
• 05
.0005156
.0021508
.0077835
.0240747
.0623753
.1316813
.05
.06
.0017425
.0059925
.0178824
.0456069
.0974330
. 1696056
.06
.07
.00^5488
.0132661
.0335711
.0726074
.1315419
.1941810
.07
.08
.0098180
.0247842
.0542894
.1016347
.1593818
.2036545
.08
.09
.0183035
.0406250
.0782406
.1287836
.1775653
.1994869
.09
.10
.0303666
.0599927
.1028446
.1506793
.1849246
.1849246
.10
.11
.0^57963
.0813369
.1253502
.1651019
.1821579
.1637581
.11
.12
.0637727
.1026585
.1433960
.1711859
.1711860
.1394848
.12
.13
.0829769
.1218966
.1553847
.1692831
.1544856
.1148740
.13
.14
.1018092
.1372828
.1606303
.1606302
.1345539
.0918384
.14
.15
.1186520
.1475916
.1593051
.1469559
.1135569
.0714987
.15
.16
.1321137
.1522531
.1522530
.1301233
.0931564
.0543413
.16
•n
.1412085
.1513382
.1407403
.1118606
.0744740
.0404010
.17
.18
.1454466
.1454465
.1262076
.0935958
.0581428
.0294304
.18
.19
.1448371
.1355408
.1100632
.0763841
.0444052
.0210340
.19
.20
.1398190
.1227679
.0935374
.0609082
.0332226
.0147656
.20
.21
.1311457
.1082980
.0776013
.0475233
.0243788
.0101901
.21
.22
.1197526
.0932000
.0629402
.0363270
.0175631
.0069187
.22
.23
.1066292
.0783606
.0499691
.0272329
.0124324
.0046246
*23
.24
.0927132
.0644470
.0388728
.0200391
.0086532
.0030447
.24
.25
.07881^7
.0519024
.0296585
.0144844
.0059254
.0019752
.25
. 2 6
.0655731
.0409678
.0222097
.0102903
.0039938
.0012630
.26
.27
.0534423
.0317178
.0163344
.0071893
.0026507
.0007962
.27
.28
.0426991
.0241019
.0118051
.0049416
.0017328
.0004951
.28
.29
.0334667
.0179858
.0083875
.0033^29
.0011161
.0003036
.29
.30
.0257460
.0131869
.0058609
.0022262
.0007084
.0001836
.30
.31
.0194498
.0095030
.0040290
.0014598
.0004431
.0001096
-31
.32
.0144345
.0067332
.0027253
.0009428
.0002732
.0000645
.32
.33
.0105272
.0046918
.0018144
.0005997
.0001660
.0000375
• 33
.34
.0075468
.0032158
.0011890
.0003758
.0000994
.00002i5
.34
• 35
.0053191
.0021685
.0007670
.0002319
.OOOO588
.0000121
.35
• 36
.0036865
.0014387
.0004871
.0001410
,0000342
.0000067
.36
.37
.0025126
.0009392
.0003045
.0000845
.0000196
.0000037
.37
.38
.0016843
.0006032
.0001875
.0000498
.0000111
.0000020
.38
• 39
.0011104
.0003812
.0001136
.0000289
.0000062
.0000010
.39
. 40
.0007200
.0002370
.0000677
.0000166
.0000034
.0000005
.40
. 41
.0004590
.0001450
.0000397
.0000093
.0000019
.0000003
.41
• 42
If -T
.0002878
.0000873
.0000229
.0000052
.0000009
.0000002
.42
.43
li ),
.0001773
.0000517
.0000130
.0000028
.0000005
.0000001
.43
• 44
1. c
.0001075
.0000300
.0000073
.0000015
.0000003
.0000000
.44
.45
I. r
.0000640
.0000172
.0000040
.0000007
.0000002
.QD00000
.45
. 46
.0000374
.0000097
.0000021
.0000004
.0000001
.0000000
.46
.47
i, Q
.0000215
.OOOOO53
.0000012
.0000002
.0000000
.0000000
.47
. 4o
.0000121
.0000029
.0000006
.0000001
.0000000
.0000000
.48
.49
.0000067
.0000015
.0000003
.0000001
.0000000
.0000000
.49
• 50
.0000036
.0000008
.0000002
.0000000
.0000000
.0000000
.50
194
BINOMIAL DISTRIBUTION
Table 1 - Individual Terms
, r n-r
) p q
p
n=49 r= 3
n=49 r- 2
n=49 r- 1
n=49 r= 0
p
.01
.0116039
.0733266
.3024722
.6111172
.01
.02
.0581934
.1820090
.3716017
.3716017
.02
.03
.1225314
.2528840
.3406909
.2248097
.03
.04
.1803187
.2762328
.2762328
.1352977
.04
.05
.2175604
.2638498
.2088811
.0809947
.05
. 06
.2310569
.2310569
.1508288
.0482242
. 06
.07
.2243332
.1902401
.1053115
.0285538
.07
.08
.2036544
.1494911
.0716311
.0168114
.08
.09
.1753943
.1131978
.0476897
.0098408
.09
.10
.1447236
.0831391
.0311772
.0057264
.10
.11
.1152132
.0595009
.0200589
.0033122
.11
.12
.0889469
.0416347
.0127217
.0019039
.12
• 13
.0668497
.0285561
.0079628
.0010875
.13
.14
.0490565
.0192350
.0049232
.0006172
.14
.15
.0352313
.0127432
.0030088
.0003480
.15
.16
.0248079
.OO83I33
.0018186
•0001948
.16
•17
.0171523
.0053453
.0010875
.0001083
.17
.18
.0116584
.0033900
.0006435
.0000598
.18
.19
.0077975
.0021218
.0003769
.0000328
.19
.20
.0051358
.0013113
.0002186
.0000178
.20
.21
.0033334
.0008004
.0001255
.0000096
.21
.22
.0021331
.0004827
.0000713
.0000052
.22
.23
.0013463
.0002877
.0000402
.0000027
.23
.24
.OOO8383
.0001695
.0000224
.0000014
.24
.25
.0005152
.0000987
.0000123
.0000008
.25
.26
.0003126
.0000568
.0000067
.0000004
.26
.27
.0001873
.0000323
.0000036
.0000002
.27
.28
.0001107
.0000182
.0000019
.0000001
.28
.29
.0000646
.0000101
.0000010
.0000001
.29
.30
.0000373
.0000055
.OOO0OO6
.0000000
.30
.31
.0000212
.0000030
.0000003
.0000000
.31
.32
.0000119
.0000017
.0000001
.0000000
• 32
.33
.0000066
.0000008
.0000001
.0000000
.33
.34
.0000036
.0000005
.0000000
.0000000
.34
.35
.0000019
.0000003
.0000000
.0000000
.35
• 36
.0000011
.0000001
.0000000
.0000000
.36
.37
.0000005
.0000001
.0000000
.0000000
.37
.38
.0000003
.0000000
.0000000
.0000000
.38
.39
.0000002
.0000000
.0000000
.0000000
.39
.40
.0000001
.0000000
.0000000
.0000000
.40
.41
.0000000
.0000000
.0000000
.0000000
.41
.42
.0000000
.0000000
.0000000
.0000000
.42
.^3
.0000000
.0000000
.0000000
.0000000
.43
.44
.0000000
.0000000
.0000000
.0000000
.44
.45
.0000000
.0000000
.0000000
.0000000
.45
.46
.0000000
.0000000
.0000000
.0000000
.46
.47
.0000000
.0000000
.0000000
.0000000
.47
.48
.0000000
.0000000
.0000000
.0000000
.48
.49
.0000000
.0000000
.0000000
.0000000
.49
.50
.0000000
.0000000
.0000000
.0000000
.50
195
.
'
Table 2
Partial Sums
p = .01(.01).50
q = l-p
n = 2(1)49
r = l(l)n
197
BINOMIAL DISTRIBUTION
Table E - Partial Sums
n
2
s-r
8 q n " 8
p
| ns 2 r a 2
n= 2 r= 1
n- 3 r- 3
n s 3 r- 2
n= 3 r- 1
n- 4 r- 4
P
.01
i0001000
.0199000
.0000010
.0002980
.0297010
.0000000
.01
.02
.0004000
.0396000
♦0000080
.0011840
.0.588080
.0000002
.02
.03
.0009000
.0591000
.0000270
.0026460
. 0873270
.0000008
.03
.04
.0016000
.0784000
.0000640
.0046720
.1152640
.0000026
.04
.05
.0025000
.0975000
.0001250
.0072500
.1.426250
.0000062
.05
.06
.0036000
.ii64ooo
.0002160
.0103680
.1694160
.0000130
.06
.07
.0049000
.1351000
.0003430
.0140140
.1956430
.0000240
.07
.08
.0064000
.1536000
.0005120
.0181760
.2213120
.0000410
.08
.09
.0081000
.1719000
.0007290
.0228420
.2464290
.OOOO656
.09
.10
.0100000
.1900000
.001.0000
.0280000
.2710000
.0001000
.10
.11
.0121000
.2079000
.0013310
.0336380
.2950310
.0001464
.11
.12
.0144000
.2256000
.0017280
.0397440
.3185280
.0002074
.12
• 13
.0169000
.2431000
.0021970
.0463060
.3414970
.0002856
.13
.14
.0196000
.2604000
.0027440
.0533120
.3639440
.0003842
.14
.15
.0225000
.2775000
.0033750
.0607500
.3858750
.0005062
.15
• 16
.0256000
.2944000
.0040960
.0686080
.4072960
.0006554
• 16
.17
.0289000
.3111000
.0049130
.0768740
.4282130
.0008352
.17
. l8
.0324000
.3276000
.0058320
.0855360
.4486320
.0010498
.18
.19
.0361000
.3439000
.0068590
.0945820
.4685590
.0013032
.19
. 20
.0400000
.3600000
.0080000
.1040000
.4880000
.0016000
.20
.21
.0441000
.3759000
.0092610
.1137780
.5069610
.0019448
.21
.22
.0484000
.3916000
.0106480
.1239040
.5254480
. 0023426
.22
.23
.0529000
.4071000
.0121670
.1343660
.5434670
.0027984
.23
.24
.0576000
.4224000
.0138240
.1451520
.5610240
.0033178
.24
.25
.0625000
.4375000
.0156250
.1562500
.5781250
.0039082
.25
.26
.0676000
.4524000
.0175760
.1676480
.5947760
.0045698
.26
.27
.0729000
.4671000
.0196830
.1793340
.6109830
.0053144
* 2 I
. c8
.0784000
.4816000
.0219520
.1912960
.6267520
.0061466
.28
.29
.o84iooo
.4959000
.0243890
.2035220
.6420890
.0070728
• 29
.30
.0900000
.5100000
.0270000
.2160000
.6570000
.0081000
.30
. 31
.0961000
.5239000
.0297910
.2287180
.6714910
.0092352
.31
• 32
.1024000
.5376000
♦0327680
.2416640
.6855680
.0104858
.32
• 33
.1089000
.5511000
.0359370
.2548260
.6992370
.0118592
.33
.34
.1156000
.5644000
.0393040
.2681920
.7125040
.0133634
.34
• 35
.1225000
•5775000
.0428750
.2817500
.7253750
.0150063
.35
.36
.1296000
.5904000
• 0466560
.2954880
.7378560
.0167962
.36
• 37
.1369000
.6031000
.0506530
.3093940
.7499530
.0187416
.37
.38
.1444000
.6156000
.0548720
.3234560
.7616720
.0208514
.38
• 39
I* A
.1521000
.6279000
.0593190
.3376620
.7730190
.0231344
.39
.40
It i
.1600000
.6400000
.0640000
.3520000
.7840000
.0256000
.40
.41
.1681000
.6519000
.0689210
.3664580
.7946210
.0282576
.41
• 42
.1764000
.6636000
.0740880
.3810240
.8o4888o
.0311170
.42
• 43
h li
.1849000
.6751000
.0795070
.3956860
.8148070
.0341880
.43
.44
iie
.1936000
.6864000
.0851840
.4104320
.8243840
.0374810
.44
• 45
ii a
.2025000
.6975000
.0911250
.4252500
.8336250
.0410062
.45
.4o
.2116000
.7084000
.0973360
.4401280
.8425360
.0447746
.46
• 47
.2209000
.7191000
.1038230
.4550540
.8511230
.0487968
.47
.23o4ooo
.7296000
.1105920
.4700160
.8593920
.0530842
.48
• 49
.2401000
.7399000
.1176490
.4850020
.8673490
.0576480
.49
• 50
.2500000
.7500000
.1250000
.5000000
.8750000
.0625000
• 50
198
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
q “- 8
p
3
11
11
n= 4 r= 2
n = - 4 r = 1
n- 5 r= 5
n= 5 r= 4
n- 5 r- 3
P
.01
.0000040
.0005920
.0394040
.0000000
.0000000
.0000099
.01
.02
.0000515,
.0025365-
.0776318
.0000000
.0000008
.0000776
.02
.03
. 0.0010 5?
.0051864
.1147072
.0000000
.0000040
.0002580
.03
.04
.0002485
.0.090957
.1506534
.0000001
.0000124
.0006022
.04
.05
.0004812
.0140188
.1854938
.0000003
.0000300
.0011581
.05
.06
.0008251
.0199109
.2192510
.0000008
.0000617
.0019703
.06
.07
.0015000
.0267280
.2519480
.0000017
.0001133
.0030799
.07
.08
.0019251
.0.54*1269
.2836070
.0000033
.0001917
.0045253
.08
.09
.0027192
.0429648
.3142504
.0000059
.0003044
.0063413
.09
.10
.0057000
.0525000
.3439000
.000010c
.0004600
.0085600
.10
.11
.0048848
.0623912
.3725776
.0000161
.0006676
.0112105-
.11
.12
.0062899
.0731981
.4003046
.0000249
.0009373
.0143189
.12
.13
.0079312
.0846808
.4271024
.0000371
.0012795,
.0179086
.13
.14
.0098255,
.0.968005-
.4529918
.0000538
.0017057
.0220003
.14
.15
.0119812
.1095188
.4779938
.0000759
.0022275
.0266119
.15
.16
.0144179
.1227981
.5021286
.0001049
.0028574
.0317587
.16
.17
.0171464
.1366016
.5254168
.0001420
.0036081
.0374538
• 17
.18
.0201787
.1508933
.5478782
.0001890
.0044930
.0437073
.18
.19
.0255264
.1656376
.5695328
.0002476
.0055256
.0505275,
• 19
.20
.0272000
.1.808000
.5904000
.0003200
.0067200
.0579200
.20
.21
.0512096
.1963464
.6104992
.0004084
.0080904
.0658883
.21
.22
.0-555645
.2122437
.6298494
.0005154
.0096513
.0744338
.22
• 23
.0402728
. 2.284-592
.6484696
.0006436
.0114175,
.0835557
.23
.24
.0453427
.2449613
.6663782
.0007963
.0134038
.0932512
.24
.25
.0.507812
.2617188
.6835938
.0009766
.0156250
.1035156
• 25
. 26
.0565947
.2787013
.7001342
.0011881
.0180962
.1143424
.26
.27
.0627888
.2958792
.7160176
.0014349
.0208325-
.1257232
•27
.28
.0695685
.3132237
.7312614
.0017210
.0238487
.1376478
.28
.29
.0.765376
.3.307064
.7458832
.0020511
.0271596
.1501045,
• 29
.30
.0857000
.3483000
.7599000
.0024300
.0307800
.1630800
.30
. 3i
.0914584
.3.659776
.7733288
.0023629
.0347244
.1765593
.31
• 32
.0996147
.3837133
.7861862
.0033554
.0390070
.1905263
• 32
«33
.1081704
.4014816
.7984888
.0039135,
.0436419
.2049631
• 33
.34
.1171259
.4192581
.8102526
.0045435,
.0486426
.2198509
.34
• 35
.1264812
.4370188
.8214938
.0052522
.0540225
.2351694
• 35
• 36
.1362555,
.4547405-
.8322278
.0060466
.0597943
.2508973
.36
• 37
.1465872
.4724008
.8424704
.0069344
.0659705-
.2670122
.37
.38
.1569339
.4899781
.8522366
.0079235,
.0725627
.2834907
.38
• 39
.1678728
.5074512
.8615416
.0090224
.0795824
.3003084
.39
.40
.1792000
.5248000
.8704000
.0102400
.0870400
.3174400
.40
.41
.1909112
.5420048
.8788264
.OH5856
.0949456
.3348596
.41
.42
.2030011
.5590469
.8868350,
.0130691
.IG33083
.3525403
.42
.43
.2154640
.5759080
.8944400
.0147008
.1121367
.3704549
.43
,44
.2282951
.5925709
.9016550,
.0164916
.1214383
.3885753
.44
.45
.2414812
.6090188
.9084937
.0184528
.1312200
.4068731
.45
.46
.2550205
.6252357
.9149694
.0205963
.1414876
.4253194
.46
.47
It O
. 2689016.
.6412064
.9210952
.0229345,
.1522460
.4438849
.47
la O
.48
.2851155,
.6569165-
.9268838
.0254804
.1834992
.4625400
.48
.49
.2976520
.6723520
.9323480
.0282475,
.1752500-
.4812550-
• 49
• 50
.5125000
.6875000
.9375000
,0312500
.1875000
.5000000
• 50
832939 0 - 50 - 14
199
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n -s
p
n= 5 r= 2
n- 5 r= 1
n= 6 r- 6
n- 6 r= 5
n= 6 r= 4
n= 6 t - 3
P
.01
.0009801
.0490100
.0000000
.0000000
.0000001
.0000196
.01
.02
.0038424
.0960792
.0000000
.0000000
.0000023
.0001529
.02
.03
.0084721
.1412660
.0000000
.0000001
.0000116
.0005044
.03
.04
.0147580
.1846273
.0000000
.0000006
.0000360
.0011684
.04
.03
.0225925
.2262191
.0000000
.0000018
.0000864
.0022298
• 05
.06
.0318713
.2660960
.0000000
.0000044
.0001762
.0037643
.06
.07
.0424934
.3043116
.0000001
.0000095-
.0003210
.0058339
• 07
.08
.0543613
.3409185-
.0000003
.0000184
.0005384
.0085121
.08
.09
.0673805,
.3759679
.0000005,
.0000328
.0008477
.0118348
• 09
.10
.0814600
.4095100
.0000010
.0000550
.0012700
.0158500
.10
. n
.0965117
-.4415941
.0000018
.0000878
.0018273
.0205936
.11
.12
.1124509'
.4722681
.0000030
.0001344
.0025431
.0260947
• 12
• 13
^ la
.1291956
.5015791
.0000048
.0001986
.0034413
.0323759
.13
.14
.1466673
.5295730
.0000075,
.0002850,
.004-5469
.0394537
.14
• 15
t r
.1647900
.5562947
.0000114
.0003987
.0058852
.0473386
• 15
• 16
.1834910
.5817881
.0000168
.0005453
.0074816
.0560359
• 16
• 17
.2027002
.6060959
.0000241
.0007312
.0093619
.0655457
• 17
• 18
.2223506
.6292602
.0000340
.0009637
.0115516
.0758631
.18
.19
.2423777
.6513216
.0000470
.0012504
.0140760
.0869790
• 19
• 20
.2627200
.6723200
.0000640
.0016000
.0169600
.0988800
.20
.21
.2833185,
.6922944
.0000858
.0020216
.0202280
' .1115487
.21
• c 2
.3041169
.7112826
.0001134
.0025253
.0239035-
.1249641
.22
.23
.3250616
.7293216
.0001480
.0031216
.0280093
.1391020
• 23
• 24
.3461014
.7464475-
.0001911
.0038221
.0325671
.1539352
• 25
.3671875
.7626953
.0002441
.0046387
.0375977
.1694336
•25
• 2b
.3882738
.7780993
.0003089
.0055842
.0431203
.1855646
• 26
• 27
.4093166
.7926928
.0003874
.0066722
.0491530
.2022934
•27
. cO
.4302743
.8065082
.0004819
.0079168
.0557124
.2195832
• 28
• <=9
Oa
.4511077
.8195771
.0005948
.0093326
.0628136
.2373955-
.29
• 30
^ -i
.4717800
.8319300
.0007290
.0109350
.0704700
.2556900
.3°
• 31
.4922565-
.8435969
.0008875,
.0127400
.0786932
.2744255-
• 3i
• 32
or*
.5125046
.8546066
.0010737
.0147640
. 0874932.
.2935593
• 32
• 33
.5324940
.8649875-
.0012915-
.0170239
.0968779
.3130483
• 33
.34
.5521962
.8747667
.0015448
.0195372
.1068534
.3328483
• 34
• 35
.5715850
.8839709
.0018383
.0223218
.1174239
.3529148
• 35
• 36
O rr
.5906359
.8926258
.0021768
.0253958
.1285914
.3732032
• 36
• 37
.6093266
.9007563
.0025657
.0287777
.1403559
.3936685,
• 37
• 38
n r\
.6276363
.9083867
.0030109
.0324864
.1527154
.4142660
.38
• 39
.6455465-
.9155404
.0035187
.0365408
.1656655,
.4-349512
• 89
• 40
h
.663o46o '
.9222400
.0040960
.0409600
.1792000
.4556800
.40
• 41
.6801017
.9285076
.0047501
.0457632
.1933103
.4764088
.41
hO
.6967179
.9343643
.0054890
.0509696
.2079858
.4970949
.42
• 4j
iiil
.7128768
.9398308
.0063214
.0565983
.2232135,
.5176963
• 43
• 44
he
.7285679
.9449268
.0072563
.0626682
.2389786
.5381721
.44
• 43
h.2
.7437825
.9496716
.0083038
.0691980
.2552639
. 5584823
.45
la /*
• 40
47
.7585132
.9540835-
.0094743
.0762063
.2720502
.5785885,
.46
•4 f
k q
.7727541
.9581805-
.0107792
.0837109
.2893163
.6984534
.47
la O
• 40
4q
.7865008
.9619796
.0122306
.0917294
.3070388
.6180412
• 48
• 4y
cn
•7997501
.9654975-
.0138413
.1002787
.3251924
.6373176
• 49
• 3U
.8125000
.9687500
.0156250
.1093750
.3437500
.6562500
• 50
200
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n= 6 r= 2
n= 6 r= 1
n= 7 r- 7
n= 7 r= 6
n= 7 r= 5
n- 7 r- 4
P
.01
.0014604
.0585199
.0000000
.0000000
.0000000
.0000003
.01
.02
.0056871
.1141576
.0000000
.0000000
.0000001
.0000053
.02
.03
.0124559
.1670280
.0000000
.0000000
'.0000005-
.0000264
.03
.04
.0215528
.2172422
.0000000
.0000000
.0000020
.OOOO813
.04
.05
.0327738
.2649081
.0000000
.0000001
.0000060
.0001936
.05
.06
.0459248
.3101302
.0000000
.0000003
.0000147
.0003915-
.06
.07
.0608207
.3530098
.0000000
.0000008
.0000313
.0007072
.07
.08
.0772859
.3936450-
.0000000
.0000017
.OOOOoOO
.0011763
.08
.09
.0951534
.4321307
.0000000
.0000034
.0001061
.OOI8366
.09
.10
.1142650
.4685590
.0000001
.0000064
.0001765
.0027280
.10
.11
.1344708
.5030187
.0000002
.0000112
.0002791
.0038916
.11
.12
.1556289
.5355959
.0000004
.0000188
.0004234
.0053693
.12
.13
.1776055-
.5663738
.0000006
.0000300
.0006202
.0072028
.13
.14
.2002741
.5954328
.0000011
.0000464
.0008817
.0094339
.14
.15
.22-55157
.6228505-
.0000017
.0000695-
.0012216
.0121032
.15
• 16
.2472185.
.6487020
.0000027
.0001013
.0016551
.0152503
• 16
.17
.2712775-
.6730596
.0000041
.0001443
.0021984
.0189131
•17
• 18
.2955943
.6959933
.0000061
.0002014
.0628695-
.0231276
.18
.19
.3200770
.7175705-
.0000089
.0002757
.OO36873
.0279276
.19
.20 |
.3446400
.7378560
.0000128
.0003712
.0046720
.0333440
.20
.21
I . 369203
.7569125,
.0000180
.0004923
.0058450-
.0394053
.21
.22
.3936934
.7748004
.0000249
.0006440
.0072285-
.0461368
.22
.23
.4i8o4l4
.7915776
.0000340
.0008320
.0088458
.0535606
.23
.24
.4421844
.8073001
.0000459
.0010625,
.0107209
.0616955-
.24
.25
.4660645-
.8220215-
.0000610
.0013428
.0128784
.0705566
.25
• 26
.48Q6285-
.8357935,
.0000803'
.0016805,
.0153436
.0801558
.26
.27
.5128282
.8486058
.0001046
.0020843
.0181420
.0905009
.27
.28
.5356198
.8606859
.0001349
.0025637
.0212996
.1015962
r Q
• cO
.29
.5579638
.8713997
.0001725-
.0031288
.0248421
.1134424
.29
.30
.5798250
.8823510
.0002187
.0037908
.0287955
.1260360
.30
. 3i
.6011720
.8920818
.0002751
.0045618
.0331855-
.1393702
.31
• 32
.6219773
.9011325,
.0003436
.0054546
.0380373
.1534344
• 32
.33
.6422168
.9095416
.0004262
.0064852
.0433757
.1682141
. 33
.34
.6618702
.9173460
.0005252
.0076622
.0492247
.1836917
.34
.35
.6809201
.9245811
.0006434
.0090075,
.0556075;
.1998457
.35
• 36
.6993523
.9312805,
.0007836
.0105356
.0625462
.2166517
.36
• 37
.7171556
.9374765-
.0009493
,0122642
.0700617
.2340816
• 37
.38
.7343215-
.9431998
.0011442
.0142116
.0781734
.2521046
.38
• 39
.7508441
.9484796
.0013723
.0163973
.0868994
.2706869
• 39
.4o
.7667200
.■9533440
.0016384
,0188416
.0962560
.2897920
.40
.41
.7819481
.9573195-
.0019475,
.0215655-
.1062575,
.3093807
.41
.42
.7965294
.9619313
.0023054
.0245909
.1169164
.3294116
.42
.43
.8104670
.9657036
.0027182
.0279404
.1282428
.3498411
.43
.44
.8237658
.9691590
.0031928
.0316375,
.1402448
> .3706237
.44
.45
i, r
.8364326
.9723194
.0037367
.0357062
.1529277
.3917122
.45
.46
.8434755,
.9752051
.0043582
,0401710
.1662945
.4130579
• 46
.47
i* n
,8599045>
.9778356
.0050662
.0450571
.1803454
.4346107
.47
1, O
.48
.8707306
.9802294
.0058707
.0503900
.1950779
.4563199
.46
• 49
.8809663
.9824037
.0067822
.0561956
.2104864
.4781337
• 49
• 50
.8906250
.9343750
.0078125
.0625000
.2265625
.5000000
.50
201
BINOMIAL DISTRIBUTION
Table B - Partial Sums
n
2
s-r
8 q n “®
p
n= 7 r= 5
n= 7 r= 2
n- 7 r= 1
n= 8 r= 8
n- 8 r- 7
n- 8 r= 6
p
.01
.0000340
.0020310
.0679347
.0000000
.0000000
.0000000
.01
.02
.0002636
.0078565,
.131874.5-
.0000000
.0000000
.0000000
.02
.03
.0008630
.OI70930
.1920172
.0000000
.0000000
.0000000
.03
.04
.0019838
.0293803
.2485525,
.0000000
.0000000
.0000001
.04
.03
•0037570
.0443805,
.3016627
.0000000
.0000000
.0000004
.05
.06
.0062940
.0617771
.3515224
.0000000
.0000000
.0000012
.06
.07
.0096876
.0812739
.5982991
.0000000
.0000001
.0000029
• 07
.08
.0140140
.1025946
.4421534
.0000000
.0000002
.0000064
.08
.09
.0193335-
.1254814
.4832390
.0000000
.0000004
.0000127
.09
.10
.0256915
.1496944
.5217031
.0000000
.0000007
.0000234
.10
.11
.0331201
.1750111
.5576867
.0000000
.0000014
.0000407
.11
.12
.0416388
.2012250-
. 5913244
.0000000
.0000026
.0000673
.12
.13
.0512558
.2281454
.6227452
.0000001
.0000044
.0001067
.13
.14
.0619685,
.2555963
.6520722
.0000001
.0000074
.0001633
.14
• 15
.0737652
.2834159
.6794229
.0000003
.0000119
.0002423
.15
• 16
.0866251
.3114559
.7049097
.0000004
.0000185-
.0003499
.16
.1005201
.3395804
.7286395-
.0000007
.0000279
.0004935,
.17
. 18
.1154147
.3676661
.7507145,
.0000011
.0000413
.0006816
.18
.19
.1312677
.3956008
.7712321
.0000017
.0000596
.0009239
.19
.20
.1480320
.4232832
.7902848
.0000026
.0000845-
.0012314
.20
.21
.1656562
.4506224
.8079609
.0000038
.0001176
.0016164
.21
.22
.1840845-
.4775369
.8243443
.0000055-
.0001611
.0020926
.22
.23
.2032581
.5039547
.8395148
.0000078
.0002176
.0026751
.23
.24
.2231150,
.5298122
.8535481
.0000110
.0002899
.0033805,
.24
• 25
.2435913
.5550537
.8665161
.0000153
.0003815-
.0042267
.25
• 26
.2646212
.5796314
.8784872
.0000209
•0004964
.0052329
• 26
.27
.2861378
.6035043
,8895260
.0000282
.0006391
.0064199
.27
. 28
.3080735-
.6266383
.8996939
.0000378
.0008150-
.0078097
.28
• 29
.3303603
.6490052
.9090488
.0000500,
.0010298
.0094256
.29
• 30
.3529305
.6705828
.9176457
.0000656
.0012903
.0112922
.30
• 31
.3757169
.6913541
.9255365-
.0000853
.0016040
.0134351
.31
• 32
.3986531
.7113070
.9327701
.0001100
.0019791
.0158811
.32
• 33
.4216739
.7304340
.9393929
.0001406
.0024250-
.0186577
.33
.34
.4447157
.7487320
.9454484
.0001786
.0029518
.0217935-
.34
• 35
.4677167
.7662014
.9509777
.0002252
.0035708
.0253175,
.35
• 36
.4906169
.7828465-
.9560195,
.0002821
.0042944
.0292594
.36
• 37
.5133587
.7986743
.9606102
.0*003512
.0051358
.0336492
.37
• 3o
.5358371
.8136952
.9647839
.0004348
.0061098
.0385171
• 38
• 89
.5581494
.8279219
.9685726
.0005352
.0072321
.0438932
.39
• 40
it i
.5800960
.8413696
.9720064
.0006554
.0085197
.0498074
.40
•4i
.6016799
.8540554
.9751135-
.0007985-
.0099909
.0562892
.41
.6228574
.8659932
.9779202
.0009683
.0116653
.0633676
.42
• 43
ii ii
.6435877
.8772187
.9804510
.0012688
.0135637
.0710705-
.43
• 44
Ji r
.6638333
.8877388
.9827291
.0014048
.0157085-
.0794247
.44
• 45
.6835599
.8975816
.9847756
.0016815/
.0181230
.0884559
.45
• 40
.7027366
.9067711
.9866107
.0020048
.0208321
.0981878
• 46
•47
.7213354
•9153321
.9882529
.0023811
.0238619
.1086426
.47
• Ho
Jl A
.7393321
.9232900
.9897193
.0028179
.0272400
.1198402
.48
• 49
.7567054
.9306706
.9910259
.0033233
.0309948
.131798]
.49
.7734375
.9375000
.9921875
.0039062
.0351562
.1445312
• 50
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
a-r
s q n-s
p
n= 8 r= 5
3
n
03
4
II
n= 8 r =■ 3
ns 8 rs 2
n- 8 r - 1
ir= 9 r= 9
p
.01
.0000000
.0000007
.0000539
.0026901
.0772553
.0000000
.01
.02
.0000002
.0000105,
.0004155-
.0103369
.1492370
.0000000
.02
.03
.0000013
.0000515-
.0013499
.0223408
.2162566
.0000000
.03
.04
.0000052
.0001574
.0030797
.0381472
.2786104
.0000000
.04
.05
.0000154
.0003718
.0057882
.0572447
.3365796
.0000000
.05
.06
.0000375
.0007456
.0096229
.0791618
.3904311
.0000000
.06
.07
.0000786
.0013359
.0146987
.1034657
.4404182
.0000000
.07
.08
.0001493
.0022033
.0211005-
.1297593
.4867811
.0000000
.08
.09
.0002619
.0034113
.0288868
.1576795,
.5297475-
.0000000
.09
.10
.0004316
.0050244
.0380918
.1868953
.5695328
.0000000
.10
.11
.OOO6765
.0071068
.0487281
.2171054
.6063411
.0000000
.11
.12
.0010169
.0097216
.0607892
.2480369
.6403655-
.0000000
.12
.13
.0014759
.0129297
.0742514
,2794433
.6717883
.0000000
.13
.14
.0020790
.0167887
.0890764
.3111029
,700782!
.0000000
.14
*15
.0028539
.0213525-
.1052128
.3428170
.7275095-
.0000000
.15
.16
.0038303
.0268703
.1225980
.3744085-
.7521241
.0000001
.16
.0050399
.0327863
.1411603
.4057205-
.7747708
.0000001
.17
. 18
.0065160
.0397393
.1608200
.4366148
.7955859
.0000002
.18
*19
.0082929
.0475622
.1814910
.4669707
.8146980
.0000003
.19
.20
.0104064
.0562816
.2030822
.4966835,
.8322278
.0000005,
.20
• 21
i .0128926
.0659180
.2254991
. 5256634
.8482891
.0000008
.21
.22
' .0157883
.0764853
.2486441
.5538346
.8629886
.0000012
.22
.23
.0191302
.0879910
.2724183
.5811335,
.8764264
.0000018
.23
.24
.0229548
.1004362
.2967223
.6075088
.8886965,
.0000026
.24
*25
.0272980
.1138153
.3214569
.6329193
.8998871
.0000038
.25
• 26
.0321948
.1281168
.3465239
•6573339
.9100805,
.0000054
• 26
.0376789
.1433229
.3718268
.6807302
.9193540
.0000076
• c. 8
.0437826
.1594099
.3972716
.7030939
.9277796
.0000106
. c 8
• 29
.0505362
.1763486
.4227673
.7244179
.9354246
.0000145,
•29
.30
.0579676
.1941044
.4482262
.7447017
.9423520
.0000197
.30
. 3l
,0661027
.2126377
.4735644
.7639506
.9486202
.0000264
.31
• 32
.0749644
.2319043
.4987023
.7821752
.9542837
.0000352
.32
. 33
.0845724
.2518558
.5235647
.7993904
.9593932
.0000464
.33
.34
.0949435-
.2724399
.5480813
.8156156
.9639959
.0000607
.34
• 35
.1060909
.2936006
.5721863
.8308731
.9681355,
.0000788
• 35
• 36
.1180242
.3152791
.5958195,
.8451888
.9718525,
.0001016
• 36
• 37
.1307490
•3374141
.6189255,
.8585906
.9751844
.0001300
• 37
.38
.1442673
.3599420
.6414542
.8711089
.9781660
.0001652
.38
• 39
i. ^
.I585766
.3827973
.6633607
.8827757
.9808293
.0002087
» 39
.40
1. ^
.1738704
.4059136
.6846054
.8936243
.9832038
.0002621
.40
.41
.1895380
.4292234
.7051559
.9036892
.9853170
.0003274
.41
.42
.2061644
.4526588
.7249765,
.9130054
.9871937
.0004067
.42
.43
). i.
.2235301
.4761522
.7440490
.9216086
.9888571
.0005026
.43
.44
.2416115,
.4996359
.7623517
.9295345,
,9903283
.0006181
.44
• 45
i. r
.2603807
.5230437
.7798697
.9368189
.9916266
.0007567
• 45
ll ^
• 46
.2798656
.5463101
.7965925-
,9434974
.9927698
.0009222
.46
• 47
Ji Q
.2998501
.5693713
.8125139
.9496049
.9937740
.0011191
.47
l| Q
• 4o
.3204741
.5921658
.8276319
.9551761
.9946540
.0013526
• 4o
.49
.3416336
.6146339
.8419484
,9602447
.9954232
.0016284
• 49
• 50
.3632812
. 6367188
.8554688
.9648438
.9960938
.0019531
• 50
203
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
n= 9 r= 8
n- 9 r- 7
n= 9 r= 6
n= 9 r= 5
n- 9 r= 4
.0000000
.0000000
.0000000
.0000000
.0000012
.0000000
.0000000
.0000000
.0000004
.0000186
.0000000
.0000000
.0000001
.0000028
.0000904
.0000000
.0000000
.0000003
.0000113
.0002743
.0000000
.0000000
.0000012
.0000332
.0006426
.0000000
.0000001
.0000033
. .0000798
.0012783
.0000000
.0000003
.0000082
.0001666
.0022713
.0000000
.0000007
.0000178
.0003136
.0037151
.0000000
.0000015-
.0000351
.0005453
.0057041
.0000001
.0000030
.0000642
.0008909
.0083311
.0000002
.0000057
.0001106
.COI3838
.0115851
.0000003
.0000103
.0001813
.0020615-
.0158497
.0000006
.0000177
.0002847
.0029649
.0209015,
.0000012
.0000292
.0004315,
.0041384
.0269090
.0000020
.0000464
.0006340
.0056287
.0339315,
.0000033
.0000715,
.0009068
.0074847
.0420187
.0000053
.0001071
.0012664
.0097568
.0512099
.0000083
.0001565,
.0017318
.0124962
.0615338
.0000127
.0002238
.0023240
.0157541
.0730086
.0000189
.0003139
.0030664
.0195814
.0856417
.0000277
.0004323
.0039844
.0240280
.0994300
.0000397
.0005861
.0051056
.0291417
.1143602
.0000561
.0007828
.0064598
.0349682
.1304093
.0000779
.0010316
.0080784
.0415503
.1475448
.0001068
.0013428
.0099945,
.0489273
.1657257
•0001445,
.0017279
.0122430
.0571345-
.1849026
.0001932
.0021999
.0148598
.0662028
.2050189
.0002554
.0027735-
.0178821
.0761583
.2260112
.0003342
.0034646
.0213477
.0870218
.2478100
.0004330
.0042909
.0252948
.0988087
.2703409
.0005561
.0052716
.0297621
.1115286
.2935250-
.0007081
.0064277
.0347877
.1251852
.3172797
.0008945-
.0077818
.0404096
.1397759
.3415198
.0011215-
.0093580
.0466645-
.1552923
.3661579
.0013962
.0111822
.0535882
.1717193
.3911056
.0017265,
.0132818
.0612147
.1890360
.4162737
.0021215,
.OI56858
.0695762
.2072151
.4415733
.0025913
.0184246
.0787022
.2262237
.4669166
.0031470
.0215299
.0886197
.2460227
.4922170
.0038011
.0250348
.0995526
.2665677
.5173903
.0045674
.0239732
.1109212
.2878090
.5423549
.0054610
.0333803
.1233422
.3096920
.3670323
.0064986
.0382916
.1306281
.3321576
.5913478
.0076984
.0437436
.1507869
.3551423
.6152309
.0090802
.0497728
.1656220
.378579]
.6386154
.0106653
.0564157
.1817320
.4023977
.6614400
.0124771
.0637089
.1985102
.4265251
.6836483
.0145405,
.0716881
.2161445-
.4508861
.7051895,
.0168823
.0803884
.2346175,
.4754037
.7260180
.0195312
.0898437
.2539062
.5000000
.7460938
n- 9 r= 3
.01
.02
.03
.04
.03
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
.23
.24
.25
.26
• 27
.28
.29
.30
.31
.32
.33
.34
.35
.36
.37
.38
.39
.4o
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
.0000803
.0006139
.0019796
.0044824
.OO836IO
.0137953
.0209123
.0297932
.0404781
.0529721
.0672496
.0832589
.1009264
.1201601
.1408534
.1628877
.1861356
.2104631
.2357321
.2618025-
.2885336
.3157860
.3434228
.3713111
.3993225,
.4273345-
• 4552307
. *1829018
.5102460
.5371688
. 56358*11
.5894136
.6145872
.6390429
.6627267
.6855925-
.7076016
.7287230
.7489326
.7682130
.7865533
.8039487
.8203997
.8359122
.8504969
.8641687
.8769467
.8888531
.8999136
.9101563
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
•!7
.18
.19
.20
.21
.22
.23
.24
.25
• 26
:3
.29
.30
.31
.32
.33
.34
.35
.36
.37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
204
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-s
q
p
n= 9 r= 2
n- 9 r* 1
n=10 r=10
n=10 r= 9
n=10 r- 8
n=10 7
p
.01
.0034357
.0864828
.0000000
.0000000
.0000000
.0000000
.01
.02
.0131149
.1662522
.0000000
.0000000
.0000000
.0000000
.02
.03
.0281582
.2397689
.0000000
.0000000
.0000000
.0000000
.03
.04
.0477658
.3074660
.0000000
.0000000
.0000000
.0000000
.04
.03
.0712114
.5697506
.0000000
.0000000
.0000000
.0000001
.05
.06
.0978380
.4270052
.0000000
.0000000
.0000000
.0000003
.06
.07
.1270524
.4795889
.0000000
.0000000
.0000000
.0000008
.07
.08
.1583210
.5278386
.0000000
.0000000
.0000001
.0000020
.08
.09
.1911657
.'5720702
.0000000
.0000000
.0000002
.0000045-
.09
.10
.2251590
.6125795,
.0000000
.0000000
.0000004
.0000091
.10
.11
.2599213
.6496436
.0000000
.0000000
.0000008
.0000173
.11
.12
.2951163
.6835216
.0000000
.0000000
.0000015,
.0000308
.12
.13
.3504482
.7144558
.0000000
.0000001
.0000029
.0000525-
.13
.14
.3656580
.7426726
.0000000
.0000002
.0000051
.0000856
.14
.15
.4005208
.7683831
.0000000
.0000003
.0000087
.0001346
.15
• 16
.4348430
.7917843
.0000000
.0000006
.0000142
.0002051
.16
.17
.4684590
.8130597
.0000000
.0000010
.0000226
.0003042
.17
. 18
.'5012296
.8323804
.0000000
.0000017
.0000350,
.0004401
.18
.19
.5550389
.8499054
.0000001
.0000027
.0000528
.0006229
.19
.20
.5637924
.8657823
.0000001
.0000042
.0000779
.0008644
.20
.21
.5954148
.8801484
.0000002
.0000064
.0001127
.0011783
.21
.22
.6218484
.8951511
.0000003
.0000097
.0001599
.0015804
.22
.23
.6490509
.9048483
.0000004
.0000143
.0002232
.0020885,
.23
.24
.6749958
.9154094
.0000006
.0000207
.0003068
.0027228
.24
.25
.6996613
.9249155
.0000010
.0000296
.0004158
•0035057
.25
. 26
.7230486
.9554596
.0000014
.0000416
.0005362
.0044618
• 26
.27
.7451586
.9411284
.0000021
.000057-7
.0007350,
.0056181
•27
.28
.7660059
.9480015
.0000030
.0000791
.0009605-
.0070039
,28
.29
.7856098
.9541515-
.0000042
.0001072
.0012420
.0086507
.29
.30
.8039968
.9596484
.0000059
.0001437
.0015904
.0105921
.30
• 3i
.8211982
.9645479
.0000082
.0001906
.0020179
.0128637
.31
• 32
.8372499
.9689129
.0000113
.0002505,
.0025384
.0155029
.32
. 33
.8521914
.9727955-
.0000155
.0003263
.0031673
.0185489
.33
.34
.8680649
.9762373
.0000206
.0004214
.0039219
.0220422
.34
• 35
.8789150-
.9792881
.0000276
.0005399
.0048213
.0260243'
.35
.36
.8907877
.9819856
.0000366
.0006865,
.0058864
.0305376
.36
• 37
.9017503
.9843662
.0000481
.0008668
.0071403
.0356252
.37
.38
.9117905
.9864629
.0000628
.0010871
.0086079
.0413301
.38
.39
.9210166
.9883059
.0000814
.0013546
.0103163
.0476949
.39
.40
.9294561
.9899223
.0001049
.0016777
.0122946
.0547619
.40
.4l
•9571566
.9915570
.0001342
.0020658
.0145738
.0625719
.41
.42
.9441645-
.9925723
.0001708
.0025295-
.0171871
.0711643
.42
.43
.9505255-
.9956485,.
.0002161
.0030809
.0201696
.0805763
.43
.44
.'9562838
.9945858
.0002720
.0037335-
.0235583
.0908427
.44
.45
.9614824
.9955946
.0003405,
.0045022
.0273918
.1019949
.45
.46
.9661627
.9960957
.0004242
.0054040
.0317105,
.1140612
• 46
.47
.9703644
.9967002
.0005260
.0064574
.0365560
.1270655-
.47
.48
.9741255-
.9972201
.0006495
.0076828
.0419713
.1410272
.48
• 49
.9774822
.9976658
.0007979
.0091028
.0480003
.1559607
.49
• 50
.9804683
.0980469
.0009766
.0107422
.0546875
.1718750
• 50
205
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
p
n=10 6
n=10 r= 5
n>10 r= 4
n=10 r- 3
n=10 r= 2
n=10 r= 1
P
.01
.0000000
.0000000
.0000020
.OOOII38
.0042662
.0956179
.01
.02
.0000000
..0000007
.0000305,
.0008639
.OI61776
.1829272
.02
.03
.•0000001
.0000054
.0001471
.0027650-
.0345066
.2625759
.03
.04
.0000007
..0000218
.•0004426
.0062137
.0581538
.3351674
.04
.05
.0000028
.OOOO637
.0010285-
.0115036
.0861384
.4012631
.05
.06
.0000079
,0001517
.0020293
.OI88378
.1175880
.4613849
.06
.07
.0000193
.0003139
.0035761
.0283421
.1517299
.5160177
• 07
.08
.0000415-
.0005857
.OO58OI3
.0400754
.1878825-
.5656115,
.08
.09
.0000810
.0010096
.OO88338
.0540400
.2254471
.6105839
.09
.10
.0001469
.0016349
.0127952/
.0701908
.2639011
.6513216
.10
.11
.0002507
.0025170
.0177972
.0884435-
.3027908
.6881828
.11
.12
.0004069
.0037161
.0239388
.1086818
.3417250-
.7214990
.12
.13
.OOO6332
.0052967
.0313048
.1307642
.3803692
.7515766
.13
.14
.0009505-
.0073263
.0399642
.1545298
.4184400
.7786984
.14
.15
.OOI3832
.0098741
.0499698
.1798035,
.4557002
.8031256
.13
• 16
.0019593
.0130101
.0613577
.2064005,
.4919536
.8250988
.16
.17
.0027098
.OI68038
.0741472
.2341305,
.5270412
.8448396
.17
.18
.0036694
.0213229
.0885411
.2628010
.5608368
.8625520
.18
.19
.0048757
.0266325-
.1039261
.2922204
.5932435,
.8784233
.19
.20
.0063694
.0327935-
.1208739
.3222005-
.6241904
.8926258
.20
.21
.0081955,
.0398624
.1391418
.3525586
.6536289
.9053172
.21
.22
.0103936
.0478897
.1586739
.3831197
.6815306
.9166422
.22
.23
.0130167
.0569196
.1794024
.4137173
.7078843
.9267332
.23
.24
.0161116
.0669890
.2012487
.4441949
.7326936
.9357111
.24
.25
.0197277
.0781269
.2241249
.4744072
.7559748
.9436865-
.25
.26
.0239148
.0903542
.2479349
.5042200
.7777550,
.9507601
.26
.27
.0287224
.IO3683I
.2725761
.5335112
.7980705-
.9570237
• 27
.28
.0341994
.1181171
.2979405,
.5621710
.8169646
.9625609
.28
.29
.0403932
.1336503
.3239164
.5901015-
.8344869
.9674476
.29
.30
.0473490
.1502683
.3503893
.6172172
.8506917
.9717525-
.30
. 3i
.0551097
.1679475-
.3772433
.6434445-
.8656366
.9755381
.31
• 32
.0637149
.1866554
.4043626
.6687212
.8793821
.9788608
.32
.33
.0732005-
.2063514
.4316320
.6929966
.8919901
.9817716
.33
.34
.0835979
.2269866
.4589388
.7162304
.9035235,
.9843166
.34
.35
.0949341
.2485045-
.4861730
.7383926
.9140456
.9865373
.35
• 36
.1072304
.2708415,
.5132284
.7594627
.9236190
.9884708
.36
•37
.1205026
.2939277
.5400038
.7794292
.9323056
.9901507
.37
.38
.1347603
.3176870
.5664030
.7982887
.9401661
.9916070
.38
.39
.1500068
.3420385-
.5923361
.8160453
.9472594
.9928666
.39
.4o
.1662386
.3668967
.6177194
.8327102
.9536426
.9939534
.40
.41
.1834452
.3921728
.6424762
.8483007
.9593705,
.9948888
.41
• 42
.2016092
.4177749
.6665372
.8628393
.9644958
.9956920
.42
.43
.2207058
.4436094
.6898401
.8763538
.9690684
.9963797
.43
.44
.2407033
.4695813
.7123307
.88887-,7
.9731358
.9969669
.44
.45
.2615627
.4955954
.7339621
.9004403
.9767429
.9974670
.45
.46
.2832382
.5215571
.7546952
.9110859
.9799319
.9978917
.46
.47
.3056772
.5473730
,.7744985,
.9208530
.9827422
.9982511
.47
.48
.3288205-
.5729517
,7933480
.9297839
.9852109
.9985544
.48
.49
.3526028
,5982047
.8112268
.9379222
.9873722
.9988096
.49
• 50
.3769531
.6230469
.8281250
.9453125
.9892578
.9990234
.50
206
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=ll r-11
n=ll r=10
n=l'l r= 9
n=ll r= 8
n=ll r= 7
n=ll r= 6
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
,0000000
• 01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000016
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000002
.0000058
.05
.06
.0000000
.0000000
.0000000
.0000000
.00000*07
.0000166
.06
.07
.0000000
.0000000
.0000000
.0000001
.0000021
.0000399
.07
.08
.0000000
.0000000
.0000000
.0000002
.0000052
.0000850,
.08
.09
.0000000
.0.000000
.0000000
.0000006
.0000114
.0001646
.09
.10
.0000000
.0.000000
.0000000
.0000012
.0000229
.0002957
.10
.11
.0000000
.0000000
.0000001
.0000026
.0000429
.0005000-
.11
.12
.0000000
.0000000
.0000002
.0000051
.0000760
.0008040
.12
.13
.0000000
.0000000
.0000005-
.0000093
.0001279
.0012394
.13
.14
.0000000
.0000000
.0000009
.0000164
.0002066
.0018431
.14
.15
.0000000
.0000001
.0000016
.0000276
.0003219
.0026569
.15
.16
.0000000
.0000001
.0000028
.0000448
.0004858
.0037274
.16
.17
.0000000
.0000002
.0000047
.0000705-
.0007131
.0051058
.17
.18
.0000000
.0000003
.0000077
.0001079
.0010214
.0068470
.18
.19
.0000000
.0000006
.0000122
.0001611
.0014309
.0090095,
•19
.20
.0000000
.0000009
.0000189
.0002352
.0019654
.0116542
.20
.21
.0000000
.0000015-
.0000287
.0003364
.0026515-
.0148440
.21
.22
.0000001
.0000023
.0000427
.0004724
.0035193
.0186427
.22
.23
.0000001
.0000036
.0000623
.0006522
.0046020
.0231144
.23
.24
.0000002
.0000055-
.0000894
.0008867
.0059361
.0283222
.24
.25
.0000002
.0000081
.0001261
.0011883
.0075612
.0343275,
.25
.26
.0000004
.0000119
.0001754
.0015716
.0095196
.0411890
• 26
.27
.0000006
.0000171
.0002406
.0020534
.0118563
.0489618
.27
.28
.0000008
.0000243
.0003259
.0026526
.0146187
.0576964
.28
.29
.0000012
.0000341
.0004363
.0033905,
.0178560
.0674377
• 29
.30
.0000018
.0000472
.0005777
.0042909
.0216192
.0782248
.30
.31
.0000025,
.0000648
.0007571
.0053801
.0259599
.0900894
.31
.32
.0000036
.0000878
.0009826
.0066870
.0309308
.1030559
.32
• 33
.0000051
.0001179
.0012638
.0082432
.0365839
.1171403
.33
.34
.0000070
.0001569
.0016116
.0100828
.0429711
.1323501
.34
.35
.0000097
.0002069
.0020384
.0122423
.0501427
.1486837
.35
• 36
.0000132
.0002706
.0025585-
.0147609
.0581470
.1661304
.36
.37
.0000178
.0003510
.0031880
.0176797
.0670298
.1846699
.37
.38
.0000239
.0004520
.0039450,
.0210423
.0768336
.2042725-
.38
.39
.0000317
.0005780
.0048497
.0248940
.0875966
.2248992
.39
.40
.0000419
.0007340
.0059245-
.0292815-
.0993526
.2465019
.40
.41
.0000550,
.0009262
.0071941
.0342530
.1121300
.2690235,
.41
.42
.0000717
.0011615-
.0086857
.0398575,
.1259511
.2923988
.42
.43
.0000929
.0014480
.0104290
.046144-5,
.1408320
.3265543
.43
.44
.0001197
.0017950,
.0124564
.0 53163 2 !
.1567813
.3414096
.4.4
.45
.0001532
.0022133
.0148026
.0609632
.1738004
. 366877*;
.45
.46
.0001951
.0027149
.0175050,
.0695918
.1918826
.3928649
.46
.47
.0002472
.0033137
.0206038
.0790955-
.2110130
.4192743
.47
.48
.0003116
.0040254
.0241413
.0895181
.2311679
.4460035-
.48
.49
.0003910
.0048673
.0281626
.1009009
.2523153
,4729477
.49
• 50
.0004883
.0058594
.0327148
.1132812
.2744141
.5000000
.50
207
BINOMIAL DISTRIBUTION
Table £ - Partial Sums
n
2
s-r
8 q n -®
p
n-11 r= 5
n-11 r= 4
n=ll r- 5
n*ll r- 2
n-l‘l r»l
n*12 r*12
p
.01
.0000000
.0000051
.0001554
.0051797
.1046617
.0000000
.01
.02
.0000015
.0000472
.0011702
.0195126
.1992686
.0000000
.02
.03
.0000096
.0002256
.0057172
.0413486
.2846986
.0000000
.03
.04
.0000586
.0006754
.0082915
.0692343
.3617607
.0000000
.04
.05
.0001119
.0015525
.0152553
.1018946
.4311999
.0000000
.05
.06
.0002644
.0050578
.0247628
.1382158
.4937018
.0000000
.06
.07
.0005425
.0055098
.0369793
.1772301
.5498965-
.0000000
.07
.08
.0010050
.0085455.
.0519000
.2181008
.6003626
.0000000
.08
.09
.0017158
.0129025
.0694666
.2601094
.6456313
.0000000
.09
.10
.0027510
.0185548
.0895619
.3026431
.6861894
.0000000
.10
.11
.0041978
.0255685
.1120217
.3451839
.7224827
.0000000
.11
.12
.0061428
.0541080
.1566470
.3872979
.7549191
.0000000
.12
.13
.0086777
.0442-545“
.1652129
.4286261
.7838716
.0000000
.13
.14
.0118956
.0560055
.1914773
.4688762
.8096806
.0000000
.14
.15
.0158884
.0694449
.2211880
.5078140
.8326568
.0000000
.15
.16
.0207458
.0845646
.2520890
.5452568
.8530830
.0000000
.16
.17
.0265522
.1015444
.2859254
.5810669
.8712169
.0000000
.17
.18
.0555862
.1197459
.5164475-
.6151455,
.8872926
.0000000
.18
.19
.0417182
.1597020
.5494148
.6474277
.9015229
.0000000
.19
.20
.0504096
.1611592
.5825985-
.6778775-
.9141007
.0000000
.20
.21
.0607111
.1859593
.4157854
.7064834
.9252006
.0000000
.21
.22
.0722625
.2080520
.4487701
.7332552
.9349809
.0000000
.22
.23
.0850907
.2552948
.4815757
.7582195,
.9435846
.0000000
.23
.24
.0992115
.2595558
.5154546
.7814178
.9511404
.0000000
.24
.25
.1146264
.2866955-
.5447991
.8029027
.9577649
.0000001
.25
• 26
.1515252
.5145690
.5753391
.8227363
.9635625-
.0000001
• 26
.27
.1492842
.5450286
.6049422
.8409878
.9686273
.0000002
.27
.28
.1684676
..5719251
.6535132
.8577316
.9730439
.0000002
.28
.29
.1888275,
.4011101
.6609733
.8730455,
.9768878
.0000004
.29
.30
.2105046
.4504577
.6872595,
.8870099
.9802267
.0000005,
.30
.31
.2528292
.4597657
.7123240
.8997060
.9831213
.0000008
.31
.32
.2565217
.4889575
.7361327
.9112152
.9856253
.0000012
.32
*33
.2806940
.5178825
.7586644
.9216180
.9877870
.0000017
.33
.34
.5058504
.5464180
.7799101
.9309932
.9896490
.0000024
.34
.35
.5516885-
.5744499
.7998711
.9394177
.9912492
.0000034
.35
.36
.5581008
.6018728
.8185590
.9469656
.9926213
.0000047
.36
.37
.5849758
.6285912
.8359935-
.9537083
.9937949
.0000066
.37
.38
.4121991
.6545196
.8522021
.959713.6
.9947963
.0000091
.38
.39
.4596545,
.6795827
.8672188
.9650462
.9956486
.0000124
.39
.40
.4672258
.7037157
.8810832
.9697669
.9963720
.0000168
.40
.41
.4947972
.7268643
.8938393
.9739330
.9969844
.0000226
.41
.42
.5222551
.7489841
.9055350,
.9775982
.9975013
.0000301
.42
.43
.5494886
.7700410
.9162210
.9808122
.9979364
.0000400
.43
.44
.5765910
.7900105-
.9259501
.9836215,
.9983015“
.0000527
.44
.45
.6028604
.8088773
.9347765-
.9860688
.9986069
.0000690
.45
.46
.6288006
.8266549
.9427551
.9881934
.9988615,
.0000898
.46
.47
.6541220
.8452851
.9499409
.9900314
.9990731
.0001162
.47
.48
.6787420
.8588572
.9563888
.9916158
.9992483
.0001496
.48
.49
.7025856
.8753076
.9621527
.9929765-
.9993929
.0001916
.49
.50
.7255859
.8867188
.9672852
.9941406
.9995117
.0002441
.50
£08
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
S q Il-8
p
n-12 r-11
n=12 r=10
n-12 r= 9
n-12 r- 8
n=12 r= 7
n=12 r- 6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
..0000000
.0000000
.0000000
.0000001
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000006
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000001
.0000031
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000005-
.0000111
.05
.06
.0000000
.0000000
.0000000
.0000001
.0000017
.0000314
.06
.07
.0000000
.0000000
.0000000
.0000002
.0000048
.0000751
.07
.08
.0000000
.0000000
.0000000
.0000006
.0000116
.0001584
.08
.09
.0000000
.0000000
.0000001
.0000015,
.0000252
.0003040
.09
.10
.0000000
.0000000
.0000002
.0000034
.0000502
.0005412
.10
.11
.0000000
.0000000
.0000004
.0000070
.0000932
.0009067
.•11
.12
.0000000
.0000000
.0000008
.0000136
.0001633
.0014446
.12
•13
.0000000
.0000000
.0000016
.0000247
.0002724
.0022064
.13
.14
.0000000
.0000001
.0000030
.0000430
.0004357
.0032504
.14
.15
.0000000
.0000003
.0000055-
.0000717
.0006721
.0046416
.15
.16
.0000000
.0000005,
.0000095-
.0001153
.0010045-
.0064503
.16
.17
.0000000
.0000010
.0000159
.0001797
.0014599
.0087517
.17
.18
.0000001
.0000016
.0000257
.0002723
.0020700
.0116241
.18
.19
.0000001
.0000028
.0000405-
.0004024
.0028708
.0151482
.19
.20
1 .0000002
.0000045,
.0000622
.0005812
.0039031
.0194053
.20
.21
.0000003
.0000072
.0000934
.0008226
.0052119
.02-44761
.21
.22
; .0000006
.0000112
.0001373
.0011427
.0068464
.0304390
.22
.23
i .0000009
.0000171
.0001980
.0015607
.0088599
.0373689
.23
.24
! .0000014
.0000256
.0002807
.0020985,
.0113088
.04-53356
.24
.25
i .0000022
.0000376
.0003917
.0027815,
.0142528
.0544022
.25
.26
! .0000034
.0000544
.0005384
.0036381
.0177536
.0646244
.26
t2 l
.0000050,
.0000774
.0007301
.0047002
.021-8748
.0760489
.27
.28
.0000074
.0001087
.0009774
.0060031
.0266804
.0887123
.28
.29
.0000107
.0001507
.0012930
.0075855,
.0322347
.1026408
.29
.30
.0000154
.0002064
.0016917
.0094894
.0386008
.1178487
.30
.31
.0000218
.0002794
.0021902
.0117598
.04584-01
.1343387
.31
.32
.0000306
.0003742
.0028080
.0144450,
.0540108
.1521009
.32
• 33
.0000423
.0004961
.0035670
.0175957
.0631675,
.1711130
.33
.34
.0000580
.0006515-
.0044918
.0212648
.0733600
.1913402
.34
.35
.0000787
.0008479
.0056098
.0255075-
.0846321
.2127354
.35
•36
.0001058
.0010942
.0069513
.0303799
.0970210
.2352397
.36
.37
.0001411
.0014007
.0085500-
.0359393
.1105567
.2587831
'.37
.38
.0001866
,0017794
.0104420
.0422430
.1252603
.2832846
.38
.39
.0002448
.0022439
.0126670
.•0493480
.1411446
.3086538
.39
.4o
.0003188
.0028102
.0152673
.0573099
.1582123
.3347914
.40
.41
.0004122
.0034960
.0182882
.0661826
.1764563
.3615907
.41
.42
.0005294
.0043216
.0217779
.0760168,
.1958591
.3889384
.42
.43
.0006756
.0053098
.0257867
.0868601
.2163926
.4167161
.43
.44
.0008568
.0064860
.0303675-
.0987553
.2380178
.4448014
.44
.45
.0010803
.0078785-
.0355749
.1117400
.2606851
.4730698
.45
.46
.0013542
.0095184
.0414650-
.1258456
.2843345-
.5013954
.46
.47
.0016885-
.0114400
.0480949
.1410967
.3088958
.5296527
.47
.48
.0020942
.0136810
.0555222
.1575100
.3342890
.5577180
.48
.49
.0025844
.0162820
.0638044
.1750940
.3604252
.5854703
.49
.50
.0031738
.0192871
.0729980
.1938477
.3872070
.6127930
.50
209
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-s
p
n=12 r- 5
n=12 r= 4
n»12 r= 3
n=12 r ~ 2
n=12 r= 1
n-13 r-13
p
.01
.0000001
.0000046
.0002056
.0061745,
.1136151
.0000000
.01
.02
.0000023
.OOOO696
.0015370
.0231078
.2152833
.0000000
.02
.03
.0000161
.0003304
.0048461
.0486491
.3061576
.0000000
.03
.04
.oooo64o
.0009782
.0107290
.0809354
.3872902
.0000000
.04
.03
.0001839
.0022364
.0195683
.1183599
.4596399
.0000000
.05
.06
.0004308
.0043413
.0315700
.1595^50-
.5240797
.0000000
.06
.07
.0008760
.0075266
.0467968
.2033167
.5814037
.0000000
• 07
.08
.0016062
.0120118
.0651960
.2486817
.6323336
.0000000
.08
.09
.0027207
.0179931
.0866245-
.2948064
.6775245,
.0000000
.09
.10
.0043293
.0256375-
.1108700
.3409977
.7175705-
.0000000
.10
.11
.0065486
.0350782
.1376695,
.3866868
.7530096
.0000000
.11
.12
.0094986
.0464127
.1667251
.4314124
.7843288
.0000000
.12
.13
.0133001
.0597017
. 1977166
.4748081
.8119683
.0000000
.13
.14
.0180707
.0749697
. 2303131
.5165888
.8363254
.0000000
.14
.15
.0239219
.0922063
.2641819
.5565404
.8577582
.0000000
.15
.16
.0309568
.III3685-
.2989959
.5945090
.8765897
.0000000
.16
.17
.0392669
.1323832
.3344394
.6303924
.8931100
.0000000
.17
.18
.0489306
.1551505,
.3702131
.6641320
.9075799
.0000000
.18
.19
.0600112
.1795475-
.4060373
.6957058
.9202336
.0000000
.19
.20
.0725555
.2054311
.4416543
.7251221
.9312805,
.0000000
.20
.21
.0865932
.2326424
.4768304
.7524140
.9409085-
.0000000
.21
.22
.1021360
.2610100
.5113568
.7776348
.9492851
.0000000
.22
.23
.1191776
.2903534
.5450498
.8008535-
.9565601
.0000000
.23
.24
.1376940
.3204867
.5777506
.8221512
.9628667
.0000000
.24
.25
.1576437
.3512214
.6093250-
.8416182
.9683236
.0000000
.25
• 26
.1789686
.3823692
.6396624
.8593511
.9730362
.0000000
• 26
.27
.2015952
.4137453
.6686745,
.8754505,
.9770980
.0000000
.27
.28
.2254357
.4451697
.6962943
.8900190
.9805916
.0000001
.28
.29
.2503895-
.4764704
.7224742
.9031598
.9835903
.0000001 .
.29
• 30
.•2763445,
.5074842
.7471847
.9149749
.9861587
.0000002
.30
• 3i
.3031795-
.5380588
.7704125-
.9255648
.9883537
.0000002
.31
.32
.3307653
.5680534
.7921591
.9350265-
.9902252
.0000004
.32
*33
.3589662
.5973 404
.8124391
.9434537
.9918173
.0000006
.33
.34
.3876433
.6258053
.8312783
.9509361
.9931683
.0000008
.34
.35
. 4166550-
.6533473
.8487124
.9575587
.9943120
.0000012
.35
• 36
.4458587
.6798798
.8647854
.9634017
.9952776
.0000017
.36
• 37
.4751135,
.7053300
.8795480
.9685403
.9960908
.0000024
.37
.38
.5042809
.7296389
.8930565-
.9730451
.9967737
.0000034
.38
.39
.5332265,
.7527608
.9053715-
.9769811
•9973457
.0000048
.39
.40
.5618218
.7746627
.9165567
.9804090
.9978232
.0000067
.40
.41
.5899447
.7953240
.9266777
.9833841
.9982208
.0000093
.41
.42
.6174813
.8147355-
.9358016
.9859575,
.9985508
.0000127
.42
.43
.6443261
.8328984
.9439953
.9881756
.9988238
.0000172
.43
.44
.6703836
.8498239
.9513255,
.9900807
.9990488
.0000232
.44
.45
.6955680
.8655319
.9578580
.9917109
.9992338
.0000310
.45
.46
.7198044
.8800502
.9636567
.9931007
.9993852
.0000413
.46
.47
.7430287
.8934134
.9687835-
.9942810
.9995087
.0000546
.47
.48
.7651877
.9056620
.9732978
.9952794
.9996091
.0000718
.48
.49
.7862393
.9168417
.9772563
.9961205,
.9996904
.0000939
.49
• 50
.8061523
.9270020
.9807129
.9968262
.9997559
.0001221
.50
■ . .-J
210
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-a
p
ri-13 r=12
n=13 r =11
n=13 r=10
n»l3 r= 9
n=13 r = 8
n=13 r= 7
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000010
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000002
.0000035-
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000005,
.0000097
.07
.08
.0000000
.0000000
.0000000
.0000001
.0000015-
.0000233
.08
.09
.0000000
.0000000
.0000000
.0000002
.0000037
.0000503
.09
.10
.0000000
.0000000
.0000000
.0000005-
.0000081
.0000993
.10
.11
.0000000
.0000000
.0000001
.0000011
.0000165,
.0001827
.11
.12
.0000000
.0000000
.0000001
.0000023
.0000315,
.0003171
.12
.13
.0000000
.0000000
.0000003
.0000046
.0000569
.0005239
.13
.14
.0000000
.0000000
.0000006
.0000086
.0000980
.0008298
.14
.15
.0000000
.0000001
.0000011
.0000154
.0001618
.0012675,
.15
.16
.0000000
.0000001
.0000020
.0000264
.0002576
.0018758
.16
.17
.0000000
.0000002
.0000035-
.0000437
.0003974
.0026995-
.17
.18
.0000000
.0000003
.0000060
.0000701
.0005959
.0037897
.18
.19
.0000000
.0000006
.0000099
.0001093
.0008714
.0052035,
.19
.20
.0000000
.0000011
.0000161
.0001660
.0012456
.0070036
.20
• 21
.0000001
.0000018
.0000253
.0002465,
.0017444
.0092574
.21
.22 |
.0000001
.0000029
.0000390
.0003585-
.0023975,
.0120368
.22
.23
.0000002
.0000046
.0000587
.0005114
.0032395-
.0154169
.23
.24
.0000004
.0000072
.0000868
.0007170
.0043090
.0194752
.24
.25
.0000006
.0000111
.0001261
.0009891
.0056493
.0242901
.25
.26
.0000009
.0000166
.0001802
.0013443
.0073081
.0299400
.26
.27
.0000015“
.0000246
.0002536
.0018020
.0093373
.0365018
•27
.28
.0000022
.0000358
.0003520
.0023846
.0117928
.0440494
.28
.29
.0000034
.0000513
.0004820
.0031178
.0147338
.0526525-
.29
• 30
.0000050-
.0000727
.0006520
.0040310
.0182228
.0623752
.30
• 3i
.0000073
.0001017
.0008717
.0051568
.0223247
.073274?
.31
• 32
.0000106
.0001405,
.0011530
,0065319
.0271061
.0853996
.32
*33
.0000151
.0001920
.0015095-
.0081965-
.0326344
.0987895,
.33
.34
.0000213
.0002598
.0019572
.0101946
.0389772
.1134732
.34
• 35
.0000297
.0003479
.0025146
.0125739
.0462011
.1294682
.35
• 36
.0000411
.0004616
.0032028
.0153856
.0543707
.1467798
.36
• 37
.0000564
.0006072
.0040459
.0186840
.0635477
.1654004
.37
.38
.0000765,
.0007918
.0050712
.0225264
.0737896
.1853096
.38
• 39
.0001030
.0010245-
.0063089
.0269726
.0851487
.2064732
.39
.4o
.0001376
.0013153
.0077930
.0320843
.0976709
.2288440
.40
.41
.0001823
.0016766
.0095608
.0379249
.1113948
.2523614
.41
• 4<
.0002398
.0021221
.0116532
.0445582
.1263506
.2769524
.42
.43
.0003133
.0026683
.0141149
.0520483
.1425591
.3025317
.43
.44
.0004065-
.0033337
.0169939
.0604581
.1600308
.3290026
.44
.45
.0005240
.0041394
.0203418
.0698492
.1787653
.3562582
.45
.46
.0006714
.0051097
.0242138
.0802801
.1987505-
.3841825-
• 46
.47
.0008552
.0062717
.0286678
.0918057
.2199623
.4126515,
.47
.48
.0010830
.0076559
.0337648
.1044764
.2423639
.4415349
.48
.49
.0013641
.0092962
.0395680
.1183363
.2659063
.4706973
.49
• 50
.0017090
.0112305-
.0461426
.1334229
.2905273
.5000000
• 50
211
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-13 r= 6
n=13 r= 5
n*13 r= 4
11=13. r= 3
n=13 r= 2
n=13 r= 1
P
.01
.0000000
.0000001
.0000067
.0002653
.0072489
.1224790
.01
.02
.0000001
.0000036
.0000990
.0019684
.0269513
.2309776
.02
.03
.0000010
.0000256
.0004658
.0061602
.0563744
.3269729
.03
.04
.0000055,
.0001006
.0013682
.0135373
.0931896
.4117986
.04
.03
.0000197
.6002866
.0031030
.0245078
.1354239
.4866579
.05
.06
.0000554
.0006654
.0059750,
.0392485,
.1814171
.5526349
.06
.07
.0001312
.0013416
.0102755,
.0577532
.2297828
.6107054
.07
.08
.6002743
.0024386
.0162665,
.0798749
.2793739
.6617469
.08
.09
.0005215,
.0040953
.0241699
.1053609
.3292510
.7065473
.09
.10
.0009200
.0064602
.0341607
.1338828
.3786550,
.7458134
.10
.11
.0015273
.0096868
.6463632
.1650614
.4269823
.7801785,
.11
.12
.0024111
.0139283
.0608501
.1984876
.4737624
.8102094
.12
.13
.0036486
.0193323
.0776436
.2337385-
.5186389
.8364124
.13
.14
.0075356
.0341646
.1180027
.3080357
.5613519
.8592398
.14
.15
.0053253
.0260365,
.0967178
.2703917
.6017231
.8790945,
.15
.16
.0103714
.0438226
.1413889
.3462780
.6396419
.8963353
.16
.17
.0139393
.0550967
.1667327
.3847514
.6750544
.9112813
•17
.18
.0183393
.0680502
.1938618
.4231185,
.7079526
.9242156
.18
.19
.0236721
.0827231
.2225805,
.4610743
.7383661
.9353892
.19
.20
.0300353
.0991306
.2526757
.4983478
.7663538
.9450244
.20
.21
.0375207
.1172635,
.2839219
.5347030
.7919979
.9533177
.21
.22
.0462124
.1370883
.3160863
.5699380
.8153979
.9604424
.22
.23
.0561849
.1585481
.3489336
.6038846
.8366660
.9665513
.23
.24
.0675016
.1815643
.3822301
.6364067
.8559229
.9717787
.24
.23
.0802126
.2060381
.4157473
i6673983
.8732946
.9762427
.25
.26
.0943539
.2318528
.4492655-
.6967815-
.8889093
.9800468
• 26
.27
.1099464
.2588757
.4825762
.7245040
.9028953
.9832815,
•27
.28
.1269949
.2869612
.5154846
.7505372
.9153793
.9860259
.28
.29
.1454879
.3159529
.5478115,
.7748730
.9264846
.9883491
.29
• 3o
.1653975-
.3456864
.5793944
.7975217
.9363301
.9903111
.30
• 3i
.1866794
.3759921
.6100884
.8185097
.9450293
.9919640
.31
. 32
.2092735-
.4066974
.6397673
.8378767
.9526901
•9933532
.32
. 33
.2331045,
.4376297
.6683230
.8556739
.9594137
.9945176
• 33
.34
.2580832
.4686184
.6956661
.8719620
.9652951
.9954911
.34
.35
.2841072
.4994973
.7217251
.8868086
.9704224
.9963028
.35
.36
.3110626
.5301063
.7464458
.9002872
.9748770
.9969777
• 36
• 37
.3388253
.5602936
.7697907
.9124751
.9787340
.9975372
.37
.38
.3672632
.5899169
.7917376
.9234521
.9820620
.9979997
.38
.39
.3962371
.6188449
.8122790
.9332993
.9849233
.9983808
• 39
.40
.4256036
.6469582
.8314203
.9420976
.9873747
.9986939
.40
.41
.4552159
.6741502
.8491791
.9.499274
.9894672
.9989503
.41
.42
.4849264
.7003280
.8655832
.9568671
.9912467
.9991594
.42
.43
h I.
.5145884
.7254122
.8806700
.962992$
.9927543
.9993295,
.43
• 44
li r-
.5440576
.7493373
.8944846
.9683778
.9940267
.9994673
.44
• 45
.5731940
.7720518
.9070787
.9730918
.9950962
.9995786
.45
• 4o
.6018635,
.7935175-
.9185092
.9772009
.9959916
.9996680
.46
• 47
liQ
.6299394
.8137095-
.9288373
.9807673
.9967380
.9997396
.47
I, fs
• 4o
.6573034
.8326154
.9381272
.9838490
.9973577
.9997967
.48
• 49
.6838471
.8502345-
.9464449
.9864998
.9978698
.9998421
.49
• 50
.7094727
.8665771
.9538574
.9887695,
.9982910
.9998779
• 50
212
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
[
n=l4 r=l4
n~l4 r =13
n=l4 r-12
n=l4 r = ll
n=l4 r=10
n=l4 r = 9
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005,
.09
.10
.0000000
.0000000
.0000000
.00000.00
.0000001
.0000013
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000002
.0000028
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000004
.0000058
.12
• 13
.0000000
.0000000
.0000000
.0000000
.0000008
.0000114
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000017
.0000211
.14
.15
.0000000
.0000000
.0000000
.0000002
.0000032
.0000374
.15
• 16
.0000000
.0000000
.0000000
.0000004
.0000059
.0000634
.16
.17
.0000000
.0000000
.0000000
.0000008
.0000103
.0001038
•.17
• 18
.0000000
.0000000
.0000001
.0000014
.0000175,
.0001647
.18
.19
.0000000
.0000000
.0000001
.0000024
.0000288
.0002541
.19
.20
.0000000
.0000000
.0000002
.0000041
.0000460
.0003819
.20
.21
.0000000
.0000000
.0000004
.0000067
.0000718
.0005611
.21
.22
.0000000
.0000000
.0000007
.0000108
.0001092
.0008071
.22
.23
.0000000
.0000001
.0000012
.0000171
.0001628
.0011389
.23
.24
.0000000
.0000001
.0000020
.0000263
.0002381
.0015791
.24
.25
.0000000
.0000002
.0000032
.0000398
.0003419
.0021542
.25
. 26
.0000000
.0000003
.0000050,
.0000592
.0004829
.0028949
• 26
.27
.0000000
.0000004
.0000077
.0000864
.0006717
.0038365-,
•27
.28
.0000000
.0000007
.0000116
.0001243
.0009211
.0050189
.28
.29
.0000000
.0000010
.0000173
.0001762
.0012464
.0064865-
.29
.30
.0000000
.0000016
.0000253
.0002465-
.0016657
.0082885,
.30
• 3i
.0000001
.0000024
.0000366
.0003404
.0022001
.0104789
.31
• 32
.0000001
.0000036
.0000521
.0004645,
.0028742
.0131156
.32
. 33
.0000002
.0000053
.0000735-
.0006268
.0037162
.0162610
.33
.34
.0000005
.0000078
.0001024
.0008369
.0047579
.0199807
.34
• 35
.0000004
.0000112
.0001411
.0011062
.0060353
.0243434
.35
• 36
.0000006
.0000159
.0001925,
.0014485-
.0075886
.0294202
.36
.37
.0000009
.0000224
.0002601
.0018795,
.0094620
.0352836
.37
.38
.0000013
.0000312
.0003483
.0024180
.0117042
.0420064
.38
.39
.0000019
.0000431
.0004624.
.0030854
.0143677
.0496612
.39
.4o
.0000027
.0000591
.0006087
.0039064
.0175095,
.0583189
.40
.4l
.0000038
.0000802
.0007950-
.0049091
.0211901
.0680476
.41
.42
.0000053
.0001081
.0010304
.0061252
.0254733
.0789110
.42
.43
.0000074
.0001445,
.0013259
.0075903
.0304262
.0909679
« 43
.44
.0000102
.0001918
.0016945-
.0093442
.0361181
.1042701
.44
.45
.0000140
.0002529
.0021510
.0114305,
.0426201
.1188614
.45
.46
.0000190
.0003312
.0027130
.0138976
.0500043
.1347765-
.46
• 47
.0000257
.0004309
.0034009
.0167979
.0583426
.1520393
.47
.48
.0000345-
.0005572
.0042380
.0201881
.0677063
.1706624
.48
• 49
.0000460
.0007163
.0052508
.0241294
.0781644
.1906456
.49
• 50
.0000610
.0009155,
.0064697
.0286865,
.0897827
.2119751
.50
213
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
£
s-r
s q n -s
p
n=l4 r= 8
n=l4 r = 7
n=l4 r= 6
n=14 r= 5
n-14 r- 4
n=14 r- 3
P
.01
.0000000
.0000000
.0000000
.0000002
.0000092
.0003351
.01
.02
.0000000
.0000000
.0000002
.0000055,
.0001364
.0024681
.02
.03
.0000000
.0000001
.0000018
.0000383
.OOO6367
.0076667
.03
.04
.0000000
.0000004
.0000093
.0001513
.0018550-
.0167234
.04
.05
.0000001
.0000020
.0000331
.0004274
.0041732
.0300536
.05
.06
.0000004
.0000066
.0000.920
.0009840
.0079714
.0477786
.06
.07
.0000012
.0000182
.0002159
.0019669
.0135990
.0697953
• 07
.08
.0000032
.0000434
.0004474
.0035449
.0213552
.0958348
.08
.09
.0000078
.0000927
.0008432
.0059020
.0314771
.1255110
.09
.10
.0000172
.0001814
.0014741
.0092302
.0441329
.1583600
.10
.11
.0000348
.0003306
.0024249
.0137212
.0594200
.1938727
.11
.12
.0000658
.‘0005684
.0037932
.0195589
.0773666
.2315205,
.12
.13
.0001176
.0009301
.0056875-
.0269128
.0979359
.2707755,
.13
.14
.0002004
.0014592
.0082248
.0359319
.1210321
.3111261
.14
.15
.0003276
.0022075-
.OII5283
.0467403
.1465076
.3520888
.15
.16
.0005165,
.0032351
.0157236
.0594332
.1741711
.3932162
.16
•17
.0007887
.0046102
.0209360
.0740748
.2037959
.4341029
.17
.18
.0011708
.0064086
.0272872
.0906963
.2351280
.4^43887
.18
.19
.0016945-
.0087126
.0348918
.1092960
.2678943
.5137597
.19
.20
.0023972
.0116099
.'0438544
.1298396
.3018101
.5519490
.20
.21
.0033221
.0151927
.0542667
.1522618
.3365859
.5887349
.21
.22
.0.045182
.0195554
.0662051
.1764678
.3719336
.6239392
.22
•23 II .0060403
.0247936
.0797285-
.2023367
.4075723
.6574244
.23
.24
.0079489
.0310016
.0948767
.2297241
.4432325-
.6890906
.24
.25
.0103095,
.0382708
.1116690
.2584654
.4786600
.7188724
.25
.26
.0131924
.0466877
.1301036
.2883801
.5136196
.7467347
.26
.27
.0166717
.0563318
.1501573
.3192748
.5478967
.7726697
.27
.28
.0208246
.0672741
,1717855-
.3509478
.5812994
.7966930
.28
.29
.0257302
.0795747
.1949228
.3831919
.6136594
.8188404
.29
.30
.0.314685,
.0932819
.£194842
.4157988
.6448326
.8391642
.30
.31
.0381192
.1084301
.2453663
.4485619
.6746990
.8577308
.31
.32
.0457600
.1250393
.2724491
.4812797
.7031623
.8746170
.32
*'33
.0544656
.1431135-
.3005978
.5137585-
.7301488
.8899081
.33
.34
.0643058
.1626406.
.3296652
.5458146
.7556067
.9036952
.34
. 35
.0753446
.1835919
.3594937
,5772770
.7795043
.9160734
.35
.36
.0876380
.2059216
.3899183
.•6079885,
.8018287
.9271396
.36
.37
.1012332
.2295676
.4207686
.6378075,
.8225839
.9369909
.37
.38
.II61672
.2544519
.4518716
.6666088
.8417891
.9457239
.38
.39
.1324652
.2804811
,4830542
.6942842
.8594769
.9534326
.39
.4o
.1501401
.3075478
.5141454
.7207430
.8756912
.9602084
.40
.41
.1691911
.5355318
.5449790
.7459120
.8904859
.9661387
.41
.42
.1896034
.3643015,
.5753951
.7697352
.9039224
.9713065-
.42
.43
.2113473
.3937161
.6052426
.7921731
.9160688
..9757903
.43
.44
.2343784
.4236268
.6343807
.8132021
.9269976
.9796633
.44
.45
.2586371
.4538793
,6626800
.8328139
.9367846
.9829938
.45
.46
.2840492
.4843158
.690024.3
..8510137
.9455074
.9858446
.46
.47
.3105262
.5147768
.7163113
.8678196
.9532444
.9882776
.47
.48
.3379660
.5451038
.7414532
.8832610
.9600736
.9903331
.48
.49
.3662539
.5751407
.7653769
.8973776
.9660718
.9920711
.49
• 50
.3952637
.6047383
.7880249
.9102173
.9713135-
.9935303
.50
214
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V ’ 8
p
| n=14 r- 2
n=l4 r- 1
n=15 r=15
n-15 r=14
n=15 r=13
n=15 r=12
p
.01
.0084012
.1312542
.0000000
.0000000
.0000000
.0000000
.01
.02
.0310518
.2463581
.0000000
.0000000
.0000000
.0000000
.02
.03
.0644923
.3471637
.0000000
.0000000
.0000000
.0000000
.03
.04
.1059339
.4353267
.0000000
.0000000
.0000000
.0000000
.04
.05
.1529856
.5123250,
.0000000
.0000000
.0000000
.0000000
• 05
.06
.2036901
.5794768
.0000000
.0000000
.0000000
.0000000
.06
.07
.2564474
.6379561
.0000000
.0000000
.0000000
.0000000
.07
.08
.3099637
.6888072
.0000000
.0000000
.0000000
.0000000
.08
• 09
.3632077
.7329580
.0000000
.0000000
.0000000
.0000000
.09
.10
.4153709
.7712321
.0000000
.0000000
.0000000
.0000000
.10
.11
.4658339
.8043589
.00000^0
.0000000
.0000000
.0000000
.11
.12
.5141360
.8329843
.0000000
.0000000
.0000000
.0000000
.12
.13
.5599495-
.8576788
.0000000
.0000000
.0000000
.0000000
.13
.14
.6030562
.8789462
.0000000
.0000000
.0000000
.0000000
.14
.15
.6433288
.8972303
.0000000
.0000000
.0000000
.0000000
.15
.16
.6807129
.9129217
.0000000
.0000000
.0000000
.0000001
.16
.17
.7152130
.9263635-
.0000000
.0000000
.0000000
.0000002
.17
.18
.7468800
.9378568
.0000000
.0000000
.0000000
.0000003
.18
.19
.7758005-
.9476652
.0000000
.0000000
.0000000
.0000006
-19
.20
.8020879
.9560195,
.0000000
.0000000
.0000001
.0000010
.20
.21
.8258750,
.9631210
.0000000
.0000000
.0000001
.0000018
.21
.22
.8473077
.9691451
.0000000
.0000000
.0000002
.0000030
.22
.23
.8665396
.9742445-
.0000000
.0000000
.0000003
.0000049
.23
.24
.8837283
.9785518
.0000000
.0000000
.0000006
.0000079
.24
.25
.8990316
.9821821
.0000000
.0000000
.0000009
.0000124
.25
.26
.9126050,
.9852346
.0000000
.0000001
.0000015-
.0000191
• 26
.27
.9245996
.9877955-
.0000000
.0000001
.0000024
.0000290
.27
.28
.9351604
.9899387
.0000000
.0000002
.0000037
.0000432
.28
.29
.9444253
.9917279
.0000000
.0000003
.0000058
.0000634
.29
.30
.9525244
.9932178
.0000000
.0000005,
.0000087
.0000917
.30
• 31
.9595791
.9944552
.0000000
.0000008
.0000130
.0001307
.31
.32
.9657023
.9954801
.0000000
.0000012
.0000192
.0001841
.32
.33
.9709980
.9963268
.0000001
.0000019
.0000278
.0002561
.33
.34
.9755617
.9970241
.0000001
.0000028
.0000399
.0003521
.34
.35
.9794805,
.9975968
.0000001
.0000042
.0000566
.0004789
.35
• 36
.9828333
.9980657
.0000002
.0000061
.0000795-
.0006447
.36
.37
.9856912
.9984484
.0000003
.0000088
.0001104
.0008593
.37
.38
.9881183
.9987598
.0000005-
.0000127
.0001517
.0011348
.38
.39
.9901717
.9990123
.0000007
.0000180
.0002066
.0014854
.39
.40
.9919024
.9992164
.0000011
.0000252
.0002789
.0019278
.40
.41
.9933552
.9993807
.0000016
.0000351
.0003733
.0024818
.41
.42
.9945700
.9995125-
.0000022
.0000485-
.0004954
.0031702
.42
• 1*3
.9955817
.9996178
.0000032
.0000663
.0006525*
.0040196
.43
.44
.9964206
.9997017
.0000045-
.0000901
.0008530
.0050603
.44
.45
.9971133
.9997682
.0000063
.0001215-
.0011070
.0063268
.45
.46
.9976897
.9998207
.0000087
'.0001626
.0014268
.0078579
.46
.47
.9981488
.9998620
.0000121
.0002161
.0018268
.0096975,
.47
.48
.9985284
.9998943
.0000165,
.0002854
.0023240
.0118941
.48
.49
.9988362
.9999195-
.0000225,
.0003744
.0029382
.0145013
.49
• 50
.9990845-
.9999390
.0000305,
.0004883
.0036926
.0175781
.50
832939 0 - 50 - 15
215
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-a
p
n=15 r=ll
n-15 r*10
n=15 r- 9
n=15 T ’- 8
n-15 r = 7
n=15 r= 6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.02
.03
.0000000
.0000000
.0000000
.0000000
.ooooool
.0000029
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000008
.0000150-
.04
.03
.0000000
•OOOOOOO
.0000000
.0000002
.0000035,
.0000528
.03
.06
.0000000
.0000000
.0000000
.0000007
.0000117
.0001455,
.06
.07
.0000000
.0000000
.0000001
.0000024
.0000320
.0003385-
• 07
.08
.0000000
.0000000
.0000004
.0000065-
.0000757
.0006952
.08
.09
.0000000
.ooooool
.0000012
.0000155-
.0001602
.0012985-
.09
.10
.0000000
.0000002
.0000028
.0000336
.0003106
.0022497
.10
.11
.0000000
.0000005-
.0000063
.0000673
.0005610
.0036675-
.11
.12
.0000001
.0000010
.0000130
.•0001261
.0009554
.0056851
.12
.13
.0000001
.0000022
.0000252
.0002233
.0015485,
,0084468
.13
.14
.0000003
.0000044
.0000462
.0003767
.0024064
.0121038
.14
• 15
.0000007
.0000083
.0000809
.0006096
.0036056
.0168101
.15
• 16
.0000013
.0000151
.0001359
.0009515-
.0052332
.0227171
.16
.17
.0000024
.0000262
.0002203
.0014384
.0073856
.0299696
.17
.18
.0000043
.0000440
.0003458
.0021136
.0101668
.0387009
.18
.19
.0000074
.0000.716
,0005277
.0030279
.0136866
.0490286
.19
.20
.0000125-
.0001132
,0007850-
.0042397
.0180588
.0610514
.20
.21
.0000204
.0001745,
.0011409
.0058149
.0233982
.0748456
.21
.22
.0000325-
.0002628
.0016235,
.0078264
.0298183
.0904629
.22
.23
.0000506
.0003873
.0022662
.0103538
.0374286
.1079284
.23
.24
.0000771
.0005599
.0031078
.0134815,
.0463316
.1272400
.24
.25
.0001153
.0007949
.0041930
.0172998
.0566203
.1483681
.25
.26
.0001693
.0011100
.0055723
.0219012
.0683758
.1712555-
• 26
.27
.0002444
.0015262
.0073020
.0273800
.0816647
.1958190
• 2 Z
• 28
.0003474
.0020685-
.0094445-
.0338305-
.0965373
.2219509
.28
• 29
.0004866
.0027660
.0120671
.0413451
.1130257
.2495208
.29
.30
.0006722
.0036525,
.0152425,
.0500125,
,1311426
.2783786
.30
. 31
.0009169
.0047665,
.0190474
.0599156
,1508803
.3083569
.31
. 32
.0012356
.0061515-
.0235618
.0711294
.1722104
.3392749
.32
. 33
.0016463
.0078560
.0288685,
.0837194
.1950833
.3709408
.33
.34
.0021700
.0099337
.0350512
.0977397
,2194290
.4031560
.34
.35
.0028314
.0124432
.0421938
.1132311
.2451575,
.4357179
• 35
• 36
.0036589
.0154480
.0503786
.1302201
,2721604
.4684236
•36
• 37
.0046850,
.0190160
.0596849
.1487170
.3003120
.5010730
• 37
.38
.0059467
.0232190
.0701875-
.1687154
.3294714
.5334717
.38
• 39
.0074855,
.0281322
.0819548
.1901914
.3594846
.5654339
• 39
• 40
.0093477
.0338333
.0950474
.2131032
.3901868
.5967844
.4o
.41
.0115843
.0404016
.1095164
.2373908
.4214051
.6273615,
.41
• 42
.0142514
.0479172
.1254018
.2629766
.4529608
.6570179
.42
• 43
h ii
.0174098
.0564592
.1427310
.2897659
.4846725-
.6856227
.43
• 44
.0211247
.0661050-
.1615177
.3176477
.5163585-
.7130621
.44
• 45
.0254659
.0769287
.1817605-
.3464961
.5478396
.7392402
.45
• 4o
.0305067
.0889995-
.2034419
.3761718
.5789417
.7640794
• 46
.47
h Q
.0363239
.1023801
. 2265281
.4065240
.6094981
.7875202
.47
• 4o
.0429969
.1171252
.2509681
.4373921
.6393515-
.8095209
.48
• 49
C r\
.0506066
.1332802
.2766936
.4686084
.6683564
.8300572
.49
• 50
.0592346
.1508789
.3036194
.5000000
.6963806
.8491211
.50
216
BINOMIAL DISTRIBUTION
Table E - Partial Sums
n
2
ST
s q n-s
p
I n«*15 r= 5
n»15 r* 4
n=15 r» 3
n=l5 r= 2
n=15 r= 1
n-16 r =16
p
.01
.0000003
.0000125-
.0004158
.0096298
.1399416
.0000000
.01
.02
.0000081
.0001830
.0030394
.0353383
.2614309
.0000000
.02
.03
.OOOO567
.0008476
.0093714
.0729725-
.3667488
.0000000
.03
.04
.0002194
.0024497
.0202918
.1191096
.4579136
.0000000
.04
.05
.0006147
.0054673
.0362002
.1709525,
.5367088
.0000000
.05
.06
.0014033
.0103599
.0571333
.2262373
.6047082
.0000000
.06
.07
.0027812
.0175327
.0828610
.2831530
.6632991
.0000000
.07
.08
.0049697
.0273136
.1129651
.3402712
.7137026
.0000000
.08
• 09
.0082037
.0399402
.1469037
.3964852
.7569918
.0000000
.09
.10
.0127205-
.0555556
.1840611
.4509570
.7941089
.0000000
.10
.11
.0187481
.0742098
.2237884
.5030716
.8258794
.0000000
-11
.12
.0264-959
.0958651
.2654344
.5523978
.8530261
.0000000
.12
.13
.0361458
.1204051
.3083681
.5986543
.8761806
.0000000
.13
.14
.0478459
.1476453
.3519964
•64l68o8
.8958938
.0000000
.14
.15
.0617054
.1773448
.3957748
.6814140
.9126458
.0000000
.15
.16
.0777913
.•2092183
.4392157
.7178663
.9268542
.0000000
.16
.17
.0961274
.2429481
.4818916
.7511085,
.9388817
.0000000
.17
.18
.1166940
.-2781949
.5234371
.7812558
.9490425,
.0000000
.18
.19
.1394297
.3146088
.5635475-
.8084548
.9576088
.0000000
.19
.20
.1642337
.3518579
.6019768
.8328742
.9648156
.0000000
.20
• 2i
.1909698
.3895372
.6385343
.8546967
.9708656
.0000000
.21
.22
.2194703
.4273749
.6730802
.87'4lll9
.9759332
.0000000
.22
.23
.2495409
;4650383
.7055209
.8913117
.9801683
.0000000
.23
.24 j
.2809661
.5022384
.7358037
.9064860
.9836994
.0000000
.24
.25
.3135141
.5387131
.7639122
.9198192
.9866365,
.0000000
.25
.26
.3469423
.5742295,
.7898610
.9314887
.9890736
.0000000
.26
.27
.3810027
.6085854
.8136908
.9416625-
.9910907
.0000000
.27
.28
.4154462
.6416096
.8354639
.9504983
.9927558
.0000000
.28
.29
.4500275-
.6731619
.8552600
.9581431
.9941268
.0000000
.29
.30
.4845089
.7031321
.8731723
.9647324
.9952524
.0000000
.30
.31
.5186644
.7314388
.8893037
.9703907
.9961741
.0000000
.31
.32
.5522821
.7580278
.9037642
.9752312
.9969265-
.0000000
.32
• 33
.5851673
.7828694
.9166677
.9793565-
.9975389
.0000000
.33
.34
.6171439
.8059568
.9281298
.9828589
.9980359
.0000000
.34
.35
.6480566
.8273035,
.9382659
.9858212
.9984379
.0000001
.35
•36
.6777710
.8469406
.9471893
.9883169
.9987621
.0000001
.36
.37
.7061748
.8649145,
.9550100
.9904114
.9990225,
.0000001
.37
.38
.7331773
.8812843
.9618338
.9921621
.9992311
.0000002
.38
.39
.7587095
.8961196
.9677609
.9936196
.9993975,
.0000003
.39
.40
.7827223
.9094981
.9728860
.9948280
.9995298
.0000004
.40
.41
.8051873
.9215035,
.9772975-
.9958257
.9996346
.0000006
.41
.42
.8260938
.9322237
.9810772
.9966459
.9997172
.0000009
.42
.43
.8454483
.9417491
.9843006
.9973172
.9997822
.0000014
.43
.44
.8632722
.9501705,
.9870365,
.9978643
.9998330
.0000020
.44
.45
.8796007
.9575787
.9893476
.9983080
.9998725,
.0000028
.45
.46
.8944808
.9640625,
.9912902
.9986662
.9999032
.0000040
.46
.47
.9079692
.9697081
.9929149
.9989540
.9999269
.0000057
.47
.48
.9201311
.9745982
.9942669
.9991840
.9999450,
.0000079
.48
.49
.9310377
.9788114
.9953860
.9993670
.9999589
.0000110
.49
• 50
.9407654
.9824219
.9963074
.9995117
.9999695-
.0000153
.50
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
a q n-s
p
n=l6 r=15
n=l6 r=l4
n-16 r-13
n=l6 r=12
n=l6 r-11
n=l6 r=10
p
.01
*0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
*0000000
.0000000
.0000000
.0000000
.02
• 03
.0000000
*0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005-
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000002
.0000025-
.12
.13
.0000000
.0000000
.0000000
,0000000
.0000004
.0000052
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000009
.0000103
.14
.15
.0000000
.0000000
.0000000
.0000001
.0000018
.0000192
.15
.16
.0000000
.0000000
.0000000
.0000003
.0000035-
.0000344
.16
.17
.0000000
.0000000
.0000000
.0000005,
.0000064
.0000592
.17
.18
.0000000
.0000000
.0000001
.0000010
.0000114
.0000983
.18
.19
.0000000
.0000000
.0000001
.0000019
.0000196
.0001583
.19
.20
.0000000
.0000000
.0000002
.0000033
.0000326
.0002476
.20
.21
.0000000
.0000000
.0000005-
.0000057
.0000527
.0003774
.21
.22
.0000000
.0000000
.0000008
.0000095-
.0000831
.0005621
.22
.23
.0000000
.0000001
.0000014
.0000154
.0001280
.0008195-
.23
.24
.0000000
.0000002
.0000023
.0000245-
.0001930
.0011714
.24
.25
.0000000
.0000003
.0000038
.0000381
.0002852
.0016445-
.25
.26
.0000000
.0000004
.0000061
.0000582
.0004139
.0022702
.26
.27
.0000000
.0000007
.0000096
.0000871
.0005905,
.0030857
.27
.28
.0000001
.0000012
.0000148
.0001284
.0008293
.0041338
.28
.29
.0000001
.0000019
.0000225-
.0001861
.0011476
.0054633
.29
.30
.0000002
.0000030
.0000336
.0002658
.0015663
.0071295,
.30
.31
.0000003
.0000046
.0000495,
.0003745-
.0021103
.0091936
.31
• 32
.0000004
.0000070..
.0000719
.0005206
.0028087
.0117228
.32
• 33
.0000007
.0000104
.0001031
.0007148
.0036955-
.0147901
.33
•34
.0000010
.0000154
.0001461
.0009702
.0048097
..0184736
.34
.35
.0000016
.0000225,
.0002044
.0013023
.0061955,
w0228559
.3,5
.36
.0000025
.0000325,
.0002829
.0017298
.0079030
.0280230
.36
.37
.0000035-
.0000464
.0003875-
.0022748
.0099875-
.0340635,
.37
.38
.0000051
.0000655,
.0005253
.0029633
.0125102
.0410670
.38
.39
.0000075-
.0000915,
.0007053
.0038254
.0155377
.049i230
.3.9
.40
.0000107
.0001267
.0009385-
.0048957
.0191419
.0583189
.40
.41
.0000153
.0001738
.0012377
.0062138
.0233994
.0687387
.41
. 42
.0000217
.0002362
.0016189
.0078243
.0283910
.0804607
.43
.0000303
.0003184
.0021004
.0097774
,0342010
.0935561
.43
.44
.0000422
.0004258
.0027042
.0121287
.0409160
.1080866
.44
.45
.0000581
.0005650-
..0034559
..0149394
.0486241
.1241030
.45
. 46
.0000795*
.0007441
.0043851
.0182764
.0574134
.1416430
.46
.47
.0001080
.0009731
.0055260
.0222119
.0673703
.1607297
.47
.48
.0001456
.0012639
.0069176
.0268234
.0785785-
,1813698
.48
.49
.0001950-
.0016307
.0086041
.0321929
.0911166
.2035528
.49
.50
.0002594
.0020905-
.0106354
.0384064
.1050568
.2272491
.50
218
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-s
q
p
n =l6 r- 9
n=l6 r= 8
n-16 r= 7
n=l6 r a 6
n=l6 r= 5
n=l6 r= 4
P
.01
.0000000
.0000000
.0000000
.0000000
.0000004
.0000165,
.01
.02
.0000000
.0000000
.0000000
.0000004
.0000116
.0002401'
.02
.03
.0000000
.0000000
.0000002
.0000045,
.0000804
.0011033
.03
.04
.0000000
.0000001
.0000014
.0000232
.0003086
.0031634
.04
.05
.0000000
.0000003
.0000060
.0000809
.0008573
.0070039
.05
.06
.0000001
.0000014
.0000197
.0002210
.0019407
.0131663
.06
.07
.0000005
.0000044
.0000535-
.0005094
.OO38I38
.0221057
.07
.08
.0000009
.0000120
.0001253
.0010372
.0067572
.0341657
.08
.09
.0000025-
.0000285,
.0002627
.0019199
.0110600
.0495669
.09
.10
.0000059
.0000613
.0005045,
.0032968
.0170040
.0684062
.10
.11
.0000130
.0001216
.0009027
.0053263
.0248489
.0906635-
.11
.12
.0000266
.0002256
.0015229
.0081824
.0348202
.1162134
.12
.13
.0000510
.0003955,
.0024453
.0120476
.0470995-
.1448403
.13
.14
.0000925-
.0006608
.0037640
.0171977
.0618178
.1762544
.14
.15
.0001602
.0010590
.0055863
.0235444
.0790513
.2101093
.15
• 16
.0002664
.0016366
.0080307
.0315290
.0988196
.2460179
.16
.17
.0004274
.0024494
.0112249
.0412164
.1210869
.2835685-
.17
.18
.0006640
.0035632
.0153029
.0527396
.1457642
.3223385,
.’18
.19
.0010028
.0050531
.0204016
.0662048
.1727137
.3619071
• 19
.20
.0014759
.0070036
.0266573
.0816879
.2017546
.4018657
.20
.21
.0021224
.0095074
.0342022
.0992317
.2326690
.4418266
.21
.22
.0029881
.0126646
.0431601
.1188445
.2652093
.4814300
.22
.23
.0041263
.OI65808
.0536436
.1404993
.2991053
.5203493
.23
.24
.0055975,
.0213655,
.0657496
.1641343
.3340714
. 5582941
.24
.25
.0074697
.0271300
.0795573
,1896546
.3698138
.5950129
.25
.26
.OO98I78
.0339846
.0951245,
.2169341
.4060370
.6302937
• 26
.27
.0127231
.0420368
.1124864
.2458186
.4424501
.6639638
.27
.28
.0162726
.0513884
.1316531
.2761296
.4787720
.6958888
.28
.29
.0205578
.0621325-
.1526093
.3076677
.5147364
.7259703
.29
.30
.0256735,
.0743516
.1753134
.3402177
.5500959
.7541441
.30
.31
.0317165,
.0881147
.1996981
.3735523
.5846245-
.7803770
.31
.32
.0387834
.1034753
.2256711
.4074372
.6181207
.8046634
.32
• 33
.0469693
.1204695-
.2531163
.4416356
.6504090
.8270228
.33
.34
.0563653
.1391140
.2818962
.4759119
.6813403
.8474956
.34
.35
.0670569
.1594054
.3118537
.5100364
.7107930
.8661404
.35
.36
.0791215,
.1813186
.3428152
.5437887
.7386721
.8830301
.36
.37
.0926268
.2048071
.3745936
.5769607
.764.9085-
.8982498
.37
.38
.1076281
;2298027
.4069915,
.6093599
.7894580
.9118931
.38
.39
.1241671
.2562158
.4398048
.6408113
.8122993
.9240597
.39
.40
.1422697
.2839366.
.4728259
.6711596
.8334326
.9348533
.40
.41
.1619449
.3128367
.5058472
.70X52701
.8528770
.9443790
.41
.42
.I831832
.3427700
.5386648
.7280298
.8706684
.9527422
.42
•w
.'2059560
.3735757
.5710811
.7543477
.8868576
.9600462
.43
.44
.2302149
.4050804
.6029081
.7791545,
.9015074
.9663916
.44
• 45
.2558915-
.4371007
.6339699
.8024024
.9146908
.9718747
.45
.46
.2828 77
.4694460
.6641051
.8240640
.9264884
.9765872
.46
.47
.3111262
.5019218
.6931685-
.8441313
.9369865,
.9806153
.47
.48
.3404517
.5343326
.7210328
.8626138
.9462753
.9840392
.48
.49
.3707319
.5664849
.7475898
.8795377
.9544468
.9869330
.49
.50
.4018097
.5981903
.7727509
.8949432
.9615936
.9893646
• 50
219
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
» q n-s
p
n-l6 r- 3
— ■ ■
n=l6 r= 2
n=l6 r= 1
n =17 r =17
n=l7 r=l6
n =17 r=l 5
p
.01
.0005079
.0109329
.1485422
.0000000
.0000000
.0000000
.01
.02
.0036854
.0398602
.2762023
.0000000
.0000000
.0000000
.02
.03
. 0112795 -
.0817858
.3857463
.0000000
.-0000000
.0000000
.03
.04
. 0242445 ,
.1326618
.4795971
.0000000
.0000000
.0000000
.04
.05
.0429379
.1892403
.5598733
.0000000
.0000000
.0000000
.05
.06
.0672796
.2489456
.6284257
.0000000
.*0000000
.0000000
.06
.07
.0968814
.3097632
.6868682
.0000000
.0000000
.0000000
.07
.08
.1311496
.3701457
.7366064
.0000000
.0000000
.0000000
.08
.09
.1693660
.4289308
.7788626
.0000000
.0000000
.0000000
.09
.10
.2107507
.4852722
.8146980
.ocooooo
.0000000
.0000000
.10
.11
.2545096
. 5385805 -
.8450327
.0000000
.0000000
.0000000
.11
.12
.2998700
.5884732
.8706630
.0000000
.-0000000
.•0000000
.12
.13
.3461053
.6347327
.8922771
.0000000
.•0000000
.0000000
.13
.14
.3925522
.6772707
.9104686
.0000000
.•0000000
.0000000
.14
.13
»4386207
.7160988
.9257489
.0000000
.•0000000
.0000000
.15
.16
.4837998
.7513043
.9385575,
.0000000
.0000000
.0000000
.16
.17
.5276585,
.7830300
.9492718
.0000000
.0000000
.0000000
.17
.18
. 5698445 -
.8114574
.9582149
.0000000
.0000000
.0000000
.18
.19
.6100798
.8367940
.9656632
.0000000
.0000000
.0000000
• 19
.20
.6481563
.8592625,
. 9718525 ,
.0000000
.0000000
.0000000
.20
.21
.6839284
.8790922
.9769838
.0000000
.0000000
.0000000
.21
.22
.7173072
.8965126
.9812279
.0000000
.0000000
.0000000
.22
.23
.7482528
.9117487
.9847296
.0000000
.0000000
.0000000
.23
.24
.7767674
.9250172
.9876115,
.0000000
.0000000
.0000000
.24
.25
.8028889
.9365236
.9899774
.0000000
.0000000
.0000001
.25
.25
.8266842
.9464608
. 9919145 -
.0000000
.0000000
.0000001
• 26
.27
.8482431
.9550081
.9934962
.0000000
.0000000
.0000002
.27
.28
. 8676735 ,
.9623304
.9947842
.0000000
.0000000
.0000004
.28
.29
.8850961
.9685783
.9958300
.0000000
.0000000
.0000006
.29
.30
.9006403
.9738884
.9966767
.0000000
.0000001
.0000010
.30
.31
.9144407
. 9783835 ,
.9973601
.0000000
.0000001
.00000.16
.31
• 32
.9266337
.9821737
.9979100
.0000000
.0000001
.0000025,
.32
• 33
. 9373550 ,
.9853567
.9983511
.0000000
.0000002
.0000039
.33
• 34
.9467377
.9880191
.9987037
.0000000
.0000004
.0000059
.34
• 35
.9549103
.9902371
.9989847
.0000000
.0000006
.0000089
.35
.36
.9619952
.9920772
.9992077
.0000000
.0000009
.0000132
.36
-37
.9681085,
. 9935975 ,
.9993842
.0000000
.0000014
.0000194
.37
• 38
. 9733585 ,
.9948483
.9995233
.0000001
.0000021
.0000281
.38
• 39
.9778458
.9958730
. 9996325 -
.0000001
.0000031
.0000403
.39
.40
.9816628
.9967087
.9997179
.0000002
.0000046
.0006571
.40
.41
.9848940
.9973873
.9997844
.0000003
.0000067
.0000803
.41
.42
.9876160
.9979358
.9998360
.0000004
.0000096
.0001118
.42
.43
.9898977
.9983771
.9998758
.0000006
.0000138
.0001542
.43
.44
.9918007
. 9987305 -
. 9999065 -
.0000009
.0000197
.0002110
.44
.*5
.9933798
.9990120
.9999299
.0000013
.0000277
.0002862
.45
. 46
.9946831
.9992352
.9999477
.0000018
.0000387
.0003852
.46
.47
.9957533
.9994112
.9999612
.0000027
.0000537
.0005146
.47
.48
.9966271
.9995493
.9999714
.0000038
.0000740
. 0(206824
.48
.49
.9973367
.9996570
.9999791
.0000054
.0001012
.0008985-
.49
.50
. 9979095 ,
.9997406
.9999847
.0000076
.0001373
.0011749
.50
.a
220
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n -s
p
1 n =17 r =14
n =17 r=13
n=17 r=12
n=17 r=ll
n =17 r =10
n-17 r= 9
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.OOOQOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.06
.07
.0000000
.0000000'
.0000000
.0000000
.0000000
.0000006
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000001
.0000018
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000004
.0000048
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000010
.0000115-
.10
.11
.0000000
.0000000
.0000000
.0000002
.0000024
.0000250-
.11
.12
.0000000
.0000000
.0000000
.0000005-
.0000054
.0000505-
.12
.13
.0000000
.0000000
.0000001
.0000010
.0000112
.0000958
.13
.14
.0000000
.0000000
.0000002
.0000022
.0000218
.0001721
.14
.15
.0000000
.0000000
.0000004
.0000044
.0000404
.0002950,
.15
.16
.0000000
.-0000001
.0000008
.0000084
.0000715,
.0004856
.16
.17
.0000000
.0000001
.0000015,
.0000154
.0001218
.0007711
• 17
.18
.0000000
.0000002
.0000029
.0000271
.0002002
.0011859
.18
.19
.0000000
.0000005-
.0000052
.0000460
.0003187
.0017723
.19
.20
.0000001
.0000009
.0000092
.0000756
.0004932
.0025815-
.20
.21
.0000001
.0000015,
.0000156
.0001209
.0007439
.0036733
.21
.22
.0000002
.0000027
.0000257
.0001885,
.0010959
.0051170
.22
i
.0000004
.0000046
.0000413
.0002871
.0015800
.0069908
.23
.24
.0000007
.0000076
.0000649
.0004278
.0022337
.0093819
.24
.25
.0000011
.0000124
.0000999
.0006250,
.0031008
.0123848
.25
.26
.0000019
.0000196
.0001507
.0008965,
.0042326
.0161012
• 26
.27
.0000031
.0000305,
.0002231
.0012642
.0056878
.0206378
• 2 Z
.28
.0000050-
.0000466
.0003246
.0017546
,0075326
.0261050-
.28
.29
.0000079
.0000699
.0004649
.0023992
.0098407
.0326144
.29
.30
.0000122
.0001033
.0006560
.0032353
.0126927
.0402769
.30
• 3 l
.0000185,
.0001502
.0009126
.0043061
.0161757
.0491999
.31
• 32
.0000278
.0002155,
.0012528
.0056612
.0203822
.0594848
.32
. 33
.0000410
.0003050,
.0016985-
.0073567
.0254092
.0712244
• 33
.34
.0000599
.0004263
.0022756
.0094554
.0313568
.0844999
.34
• 35
.0000862
.0005887
.0030149
.0120267
.0383263
.0993789
• 35
• 36
.0001227
.0000838
.0039521
.0151462
. 0464185 -
.1159125-
.36
• 37
.0001726
.0010858
.0051285,
.0188956
.0557319
.1341335,
.37
.38
.0002402
..0014517
.0065911
.0233618
.0663602
.1540544
.38
.39
.0003309
.0019222
.0083932
.0286360
.0783902
.1756661
• 39
.40
.0004514
.0025214
.0105942
.0348127
.0918993
.1989365-
.40
. 4 l
.0006100
..0032779
.0132599
.0419885,
.1069532
.2238105,
.41
.42
.0008169
.0042252
.0164623
.0502603
.1236042
.2502097
.42
.43
.0010847
.0054015-
.0202796
.0597237
.1418880
.2780325-
• ^3
.44
.0014283
.0068510
.0247951
.0704711
.1618231
.3071557
.44
.45
It /■
.0018659
.008623.5-
.0300975
.0825896
.1834078
.3374356
.45
1. s
.46
.0024190
.0107751
.0362794
.0961590
.2066202
.3687099
.46
.47
i. n
.0031130
.0133684
.0434364
.1112492
.2314160
.4008001
.47
)l 0
.48
.0039777
.0164724
.0516659
.1279183
.2577291
.4335145,
• 48
.49
.0050477
.0201626
.0610655,
.1462103
.2854705,
.4666509
.49
• 50
.0063629
.0245209
.0717316
.1661530
.3145294
.5000000
.50
221
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=17 r; 8
n*17 r= 7
n=17 r= 6
n=17 r= 5
n-17 r- 4
n-17 r- 3
P
.01
.0000000
.0000000
.0000000
.0000006
.0000214
.0006122
.01
.02
.0000000
.0000000
.0000007
.0000162
.0003090
.0044088
.02
.03
.0000000
.0000003
.0000068
.0001111
.0014086
.0133946
.03
.04
.0000001
.0000022
.0000346
.0004228
.0040066
.0285812
.04
.05
.0000006
.0000097
.0001197
.0011646
.0088006
.0502530
.05
.06
.0000025-
.0000318
.0003242
.0026142
.0164131
.0781795,
.06
.07
.0000079
.0000854
.0007408
.0050942
.0273400
.1117831
.07
.08
.0000211
.OOOI982
.0014948
.0089499
.0419244
.1502693
.08
.09
.0000496
.0004118
.0027425,
.0145256
.0603488
.1927268
• 09
.10
.0001056
.OOO7838
.0046675-
.0221442
.0826406
.2382028
.10
.11
.0002076
.0013893
.0074738
.0320885-
.1086865,
.2857574
.11
.12
.0005813
.0023221
.OII3789
.0445874
.1382522
.33*15024
.12
.13
.0006620
.0036936
.0166044
.0598058
.1710047
.3836269
.13
.14
.0010953
.0056321
.0233671
.0778390
.2065361
.4324128
.14
.15
.0017381
.0082800
.0318704
.0987100
.2443860
.480242*1
.15
.16
.0026596
.0117904
.0422955-
.1223714
.2840630
.5266005-
.16
.17
.0039412
.OI63235-
.0547944
.1487088
.3250638
.5710717
-.17
.18
.0056763
.0220415,
.0694840
.1775475.
.3668896
.6133348
.18
.19
.0079693
.0291042
.0864415-
.2086604
.4090599
.6531555-,
.19
.20
.0109343
.0376634
.1057012
.2417768
.4511238
.6903775,
.20
.21
.0146933
.0478584
.1272535,
.2765921
.4926680
.7249128
.21
.22
.0193736
.0598107
.1510448
.3127779
.5333230
.7567324
.22
.23
.0251053
.0736204
.1769786
.3499914
,5727671
.7858568
.23
.24
.0320177
.08936,19
.2049192
.3878849
,6107277
.8123474
.24
.25
.0402368
.1070816
.2346944
.4261136
.64698i9
.8362976
.25
.26
.0498810
.I26795O,
.2661008
.4643438
.6813552
.8578261
.26
.27
.0610582
.1484861
.2989091
.5022588
.7137193
.8770697
•27
.28
.0738625-
.1721065,
.3328695-
.5395647
.7439885,
.8941775-
.28
.29
.0883707
.1975762
.3677177
.575994;?
.7721168
.9093060
.29
.30
.1046401
.2247847
.4031811
.6113104
.7980930
.9226147
.30
.31
.1227055,
.2535929
.4389847
.6453078
.8219367
.9342630
.31
.32
.1425779
.2838362
.4748560
.6778144
.8436939
.9444065-
.32
.33
.1642429
.3153277
.5105308
.7086915,
.8634325-
.9531956
.33
.34
.1876600
.3478615,
.5457576
.7578331
.8812380
.9607734
.34
• 35
.2127623
.3812176
.5803012
.7651646
.8972098
.9672746
.35
• 36
.2394574
.4151656
.6139467
.7906410
*9114576
.9728247
.36
.37
.2676281
.4494694
.6465014
.8142448
.9240976
-9775394
.37
.38
.2971344
.4838915-
.6777971
.8359833
.9352500-
.9815246
.38
.39
.3278155-
.5181973
.7076916
.8558859
.9450363
.9848764
.39
.40
.3594923
.5521594
.7360688
.8740009
.9535771
.9876812
.40
.41
.3919710
.5855606
.7628389
.8903928
.9609902
.9900163
.41
.42
.4250458
.6181981
.7879380
.9051394
.9673892
.9919504
.42
ti i.
.4585030
.6498857
.8113270
.9183287
*9728824
.9935439
.43
• 44
1* r
.4921246
.6804565,
.8329898
.9300564
.9775716
.9948498
.44
• 45
j. r
.5256918
.7097645,
.8529322
.9404236
.9815520
.9959143
.45
• 4o
.5589891
.7376862
.8711792
.9495339
.9849114
.9967771
.46
• 47
li O
.5918077
.7641210
.8877732
.9574920
.9877302
.9974725,
.47
• 4o
.6239487
.7889917
.9027713
.964*1020
.9900814
.9980298
.48
.49
.6552263
.8122443
.9162432
.9703650,
.9920308
.9984737
.49
• 50
.6854706
.8338470
.9282684
.9754791
.9936371
.9988251
• 50
222
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-17 r= 2
n-17 r* 1
n=l8 r=l8
n-18 r*l7
n=l8 r =16
n=l8 r=15
p
.01
.0123090
.1570568
.0000000
.0000000
.0000000
.6000000
.01
.02
.0445870
.2906782
.0000000
.0000000
.0000000
.0000000
. 02
.03
.0909046
.4041740
.0000000
.0000000
.0000000
.0000000
.03
.04
.1465392
.5004132
.0000000
.0000000
.0000000
.0000000
.04
.05
.2077720
.5818797
.0000000
.0000000
.0000000
.6000000
.05
.06
.2717144
.6507202
.0000000
.0000000
.0000000
.6000000
.06
.07
.3361606
.7087874
.0000000
.0000000
.0000000
.0000000
.07
.08
.3994626
.7576779
.0000000
.0000000
.0000000
.0000000
.08
.09
.4604246
.7987649
.0000000
.0000000
.0000000
.6000000
.09
.10
.5182148
.8332282
.0000000
.0000000
.0000000
.6000000
.10
.11
.5722902
.8620791
.0000000
.0000000
.0000000
.0000000
.11
.12
.6223360
.886183%
.0000000
.0000000
.0000000
.0000000
.12
.13
.6682135-
.9062811
.0000000
.0000000
.0000000
.0000000
.13
.14
.7099184
.9230030
.0000000
.0000000
.0000000
.0000000
.14
.15
.7475463
.9368866
.0000000
.0000000
.0000000
.0000000
.15
• 16
.7812649
.9483883
.0000000
.0000000
.0000000
.0000000
.16
.17
.8112911
.9578956
.0000000
.0000000
.0000000
.0000000
.17
.18
.8378737
.9657362
.0000000
.0000000
.0000000
.0000000
.'18
.19
.8612792
.9721872
.0000000
.0000000
.0000000
.0000000
.19
.20
.8817805,
.9774820
.0000000
.0000000
.0000000
.0000000
.20
.21
.8996494
.9818172
.0000000
.0000000
.0000000
.0000000
.21
.22
.9151500-
.9853577
.0000000
.0000000
.0000000
,0000001
.22
.23
.9285343
.9882418
.0000000
.0000000
.0000000
.0000001
.23
.24
.9400398
.9905848
.0000000
.0000000
.0000000
.0000002
.24
.25
.9498870
.9924831
.0000000
.0000000
.0000000
.0000003
.25
.26
•.9582788
.9940167
.0000000
.0000000
.0000000
.0000006
• 26
.27
,9653999
.9952522
.0000000
.0000000
.0000001
.0000010
.27
.28
,9714175-
.9962446
.0000000
.0000000
.0000001
.6000017
.28
.29
.9764813
.9970393
.0000000
.0000000
.0000002
.0000027
.29
.30
,9807249
.9976737
.0000000
.0000000
.0000003
.0000044
.30
.31
.9842663
.9981785-
.0000000
.0000000
.0000006
.0000068
.31
.32
.9872093
.9985788
.0000000
.0000000
.0000009
.0000106
.32
.33
.9896448
.9988952
.0000000
.0000001
.0000014
.0000161
.33
.34
.9916519
.9991444
.0000000
.0000001
.0000023
.0000243
.34
.35
.9932987
.9993400
.0000000
.0000002
.0000035-
.0000360
.35
.36
.9946442
.9994929
.0000000
.0000003
.0000053
.0000526
.36
.37
.9957386
.9996120
.0000000
.0000005,
.0000080
.0000761
.37
.38
.9966248
.9997044
.0000000
.0000008
..0000119
.0001087
.38
.39
.9973392
.9997758
.0000000
.0000013
.0000176
.0001536
.39
.40
.9979124
.999830?
.0000001
.0000019
.0000256
.0002148
.40
.41
.9983701
.9998728
.0000001
.0000029
.0000368
.0002975-
.41
.42
.9987339
.9999049
.0000002
.0000043
.0000525,
,0004079
.42
. 43
.9990216
.9999292
.0000003
.0000063
.0000742
.0005543
.43
.44
.9992479
.9999476
.0000004
.0000091
.0001038
.0007466
.44
.45
.9994251
.9999614
.oooooo'6
.0000132
.0001440
.0009971
♦ 45
• 46
.9995630
.9999718'
.0000009
.0000188
.0001981
.0013208
.46
.47
.9996697
.9999795-
.0000013
.0000267
.0002703
.0017358
.47
1. 0
.48
.9997519
.9999851
.0000018
.0000375,
.0003660
.0022641
.48
.49
.9998148
.9999893
.0000027
.0000523
.0004918
.0029316
.49
• 50
.9998627
.9999924
.0000038
.0000725-
.0006561
.0037689
.50
223
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
v /n» s n-s
s-r
p
n=l8 r=l4
n-18 r=13
n-18 r=12
n=l8 r=11
n=l8 r=10
n=l8 r= 9
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.coooooo
.0000000
.0000000
,.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000003
.0000033
.08
.09
.0000000
.0000000
.0000000
.0000001
.0000008
.0000088
.09
.10
.0000000
.0000000
.0000000
.0000002
.0000020
.0000209
.10
.11
.0000000
.0000000
.0000000
.0000004
.0000049
.0000451
.11
.12
.0000000
.0000000
.0000001
.0000010
.0000108
.0000902
.12
.13
.0000000
.0000000
.0000002
.00.00024
.0000222
.0001694
.13
.14
.0000000
.0000000
.0000005-
.0000049
.0000428
.0003013
.14
.13
.0000000
.0000001
.0000010
.0000098
.0000786
.0005115-
.15
.16
.0000000
.0000002
.0000020
.0000185,
.0001378
.0008335-
.16
.17
.0000000
.0000004
.0000039
.0000335-
.0002322
.0013100
.17
.18
.0000001
.0000007
.0000072
.0000582
.0003776
.0019942
.18
.19
.0000001
.0000014
.0000130
.0000978
.0005949
.0029498
.19
.20
.0000002
.0000025,
.0000225-
.0001591
.0009109
.0042520
.20
.21
.0000004
.0000045-
.0000377
.0002518
.0013591
.0059875-
.21
.22
.0000008
.0000078
.0000615-
.0003881
.0019805-
.0082534
.22
• 23
.0000014
.0000130
.0000978
.0005845-
.0028245,
.0111572
.23
.24
.0000023
.0000214
.0001520
.0008612
.0039492
.0148145-
.24
.25
.0000039
.0000342
.0002312
.0012440
.0054218
.0193478
.25
. 26
.0000065,
.0000537
.0003446
.0017639
.0073184
.0248839
.26
.27
.0000105,
.0000825-
.0005042
.0024586
.0097243
.0315513
•27
.28
.0000166
.0001244
.0007250,
.0033724
.0127329
.0394771
• 28
.29
.0000259
.0001845-
.0010259
.0045572
.0164451
.0487838
.29
.30
.0000395-
.0002691
.0014298
.0060725,
.0209680
.0595859
.30
.31
.0000594
.0003866
.0019646
.0079857
.0264132
.0719867
.31
. 32
.0000878
.0005474
.0026635-
.0103719
.0328950,
.0860746
.32
. 33
.0001281
.0007648
.0035657
.0133140
.0405282
.1019205-
.33
.34
.0001844
.0010551
.0047167
.0169019
.0494254
.1195743
.34
.35
.0002621
.0014379
.0061690
.0212315,
.0596947
.1390631
• 35
• 36
.0003679
.0019372
.0079820
.0264042
.0714363
.1603886
.36
»3y
.0005105-
.0025816
.0102223
.0325250,
.0847405,
.1835265,
.37
.38
.0007006
.0034047
.0129640
.0397012
.0996840
.2084248
.38
• 39
l« a
.0009515,
.0044459
.0162879
.0480401
.1163278
.2350043
.39
.40
1.
.0012794
.0057505-
.0202816
.0576473
.1347141
.2631588
.40
.41
.0017038
.0073705,
.0250386
.0686241
.1548647
.2927563
.41
*42
.0022484
.0093648
.0306575-
.0810647
.1767785-
.3236408
.42
.43
), It
.0029409
.0117991
.0372405,
.0950544
.2004302
.5556348
.43
• 44
li r*
.0038143
.0147464
.0448925,
.1106660
.2257694
.3885420
.44
• 45
). r
.0049068
.0182868
.0537190
.1279578
.£527203
.4221509
.45
.46
.0062628
.0225071
.0638240
.1469711
.2811814
.4562384
• 46
• 47
)i Q
.0079330
.0275003
.0753084
.1677276
.3110266
.4905737
.47
• 4o
.0099751
.0333653
.0882670
.1902275,
.3421061
.5249229
.48
.49
C r\
.0124540
.0402050,
.1027865-
.2144478
.3742489
.5590529
.49
.30
.0154419
.0481262
.1189423
.2403412
.4072647
.5927353
.50
11'" ' :-J
224
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-18 r= 8
n=l8 r- 7
n=l8 r = 6
n=l8 r= 5
n=l8 r = 4
n=l8 r- 3
P
.01
.0000000
.0000000
.0000000
.0000008
.0000274
.0007292
.01
.02
.0000000
.0000000
.0000010
.0000221
.0003910
.0052124
.02
.03
.0000000
.0000005,
.0000099
.0001500,
.0017682
.0157199
.03
.04
.0000002
.0000035,
.0000501
.0005662
.0049896
.0332995,
.04
.05
.0000011
.0000152
.0001720
.0015464
.0108732
.0581289
.05
.06
.0000045
.0000494
.0004616
.0034421
.0201191
.0897916
.06
.07
.0000133
.0001313
.0010455-
.0066514
.0332510
.1274895,
.07
.08
.0000352
.0003019
.0020912
.OH5878
.0505920
.1702048
.08
.09
.0000822
.0006216
.0038030
.0186497
.0722628
.2168196
.09
.10
.0001735-
.0011721
.0064151
.0281939
.0981968
.2662040
.10
.11
.0003375,-
.0020586
.0101814
.0405143
.128164-3
.3172760
.11
.12
.0006142
.0034089
.01$3639
.0558271
.1618022
.3690424
.12
.13
.0010561
.0053720
.0222206
.0742617
.1986456
.4206231
.13
.14
.0017304
.0081150,
.0309932
.0958566
.2381589
.4712636
.14
.15
.0027194
.0118185,
.0418964
.1205614
.2797645-
.5203380
.15
.16
.0041205,
.0166712
.0551076
.1482420
.3228690
.5673468
.16
.17
.0060462
.0228635,
.0707599
.1786891
.3668851
.6119090
.17
.18
.0086221
.0305812
.0889355-
.2116291
.4112497
.6537518
.18
.19
.0119849
.0399983
.1096631
.2467363
.4554381
.6926990
.19
.20
.0162801
.0512710
.1329163
.2836462
.4989745,
.7286581
.20
.21
.0216580
.0645314
.1586146
.3219680
.5414394
.7616075-
.21
.22
.0282698
.0798822
.1866260
.3612978
.5824731
.7915843
.22
.23
.0362637
.0973928
.2167716
.4012298
.6217777
.8186727
.23
.24
.0457803
.1170957
.2488310
.4413671
.6591164
.8429936
.24
.25
.0569480
.1389848
.2825492
.4813307
.6943108
.8646950-
.25
• 26
.0698786
.1630145,
.3176440
.5207667
.7272377
.8839438
.26
.27
.0846637
.1891003
.3538135,
.5593531
.7578239
.9009188
• 2 Z
.28
.1013708
.2171201
.-3907441
.5968034
.7860414
.9158047
. 28
.29
.1200403
.2469172
.4281179
.6328698
.8119017
.9287868
.29
.30
.1406835-
.2783036
.4656199
.6673451
.8354495,
.94004-78
.30
.31
.1632806
.311064-3
.5029448
.7000627
.85C7579
.9497640
.31
. 32
.1877806
.3449625,
.5398027
.7303958
.8759219
.9581034
.32
.33
.2141009
.3797447
.5759238
.7597560
.8930543
.9652238
. 33
.34
.2421285-
.4151462
.6110632
.7865908
.9082800
.9712721
.34
.35
.2717216
.4508969
.6450034
.8113804
.9217325,
.9763831
• 35
• 36
.3027123
.4867268
.6775566
.8341350-
.9335498
.9806797
.36
.37
.3349094
.5223712
.7085664
.8548903
.9438711
.9842731
.37
.38
.3681021
.5575756
.7379079
.8737046
.9528343
.9872627
.38
• 39
.4020644
.5921001
.7654874
.8906545,
.9605739
.9897369
• 39
.4o
.4365592
.6257231
.7912416
.9058314
.9672187
.9917736
.40
.41
.4713427
.6582447
.8151360
.9193377
.9728909
.9934414
.41
.42
.5061698
.6894889
.837162^
.9312843
.9777049
.9947994
.42
.43
.5407976
.7193055-
.8573377
.9417868
.9817668
.9958993
.43
1. 1.
.44
.5749906
.7475712
.8756991
.9509631
.9851740
.9967850-
.44
.45
.6085245,
.7741900
.8923033
.9589314
.9880150,
.9974941
.45
1, ^
• 46
.6411898
.7990930
.9072224
.9658075,
.9903696
.9980586
.46
.47
.6727950-
.8222375>
.9205411
.9717040
.9923091
.9985052
.47
Ji O
.48
.7031693
.8436059
.9323540
.9767281
.9938966
.9988564
• 4o
.49
.7321651
.8632037
.9427629
.9809813
.9951878
.9991308
.49
• 50
.7596588
.8810577
.9518738
.9845581
.9962311
.9993439
• 50
225
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=l8 r- 2
n=l8 r- 1
n=l9 r=19
n=19 r-l8
n=19 r=17
n=19 r=l6
p
.01
.0137565“
.1654862
.0000000
.0000000
.0000000
.0000000
.01
.02
.0495088
.3048647
.0000000
.0000000
.0000000
.0000000
.02
.03
.1003027
.4220487
.0000000
.0000000
.0000000
.0000600
.03
.04
.1606942
.5203967
.0000000
.0000000
.0000000
.0000000
.04
.05
.2264774
.6027857
.0000000
.0000000
.0000000
.0000000
.05
.06
.2944547
.6716770
.0000000
.0000000
.0000000
.0000000
.06
.07
..3622445-
.7291723
.0000000
.0000000
.0000000
.0000000
.07
.08
.4281198
.7770636
.0000000
.0000000
.0000000
.0000000
.08
.09
.4908753
.8168761
.0000000
.0000000
.0000000
.0000000
.09
.10
.5497161
.8499054
.0000000
.0000000
.0000000
.0000000
.10
.11
.6041670
.8772504
.0000000
.0000000
.0000000
.0000000
.11
.12
.6539977
.8998414
.0000000
.0000000
.0000000
.0000000
.12
.13
.6991623
.9184645,
.0000000
.0000000
.0000000
.0000000
.13
.14
.7397502
.9337826
.0000000
.0000000
.0000000
.0000000
.14
.15
.7759473
.9463536
.0000000
.0000000
.0000000
.0000000
.15
.16
.Bo8oo46
.9566462
.0000000
.0000000
.0000000
.0000000
.16
.17
.8362139
.9650533
.OQOOOOO
.0000000
.0000000
.0000000
.17
.18
.8608890
.9719037
.0000000
.0000000
.0000000
.0000000
.18
.19
.8823517
.9774716
.0000000
.0000000
.0000000
.0000000
.19
.20
.9009208
.9819856
.0000000
.0000000
.0000000
.0000000
.20
.21
.9169046
.9856356
.0000000
.0000000
.0000000
.0000000
.21
.22
.9305957
.9885790
.0000000
.0000000
*.0000000
.0000000
.22
.23
.9422670
.9909462
.0000000
.0006060
.0000000
.0000000
.23
.24
.9521706
.9928444
.0000000
.0000000
.0000000
.0000001
.24
.25
.9605360
.9943623
.0000000
.0000060
.0000000
.0000001
.25
.26
.9675706
.9955724
.0000000
.0000000
.0000000
.0000002
.26
.27
.9734600
.9965341
.0000000
.0000000
.0000000
.0000003
.27
.28
.9783691
.9972961
.0000000
.0000000
.0000000
.0000006
.28
.29
.9824431
.9978979
.0000000
.0000000
.0000001
.0000009
.29
.30
.9858095,
.9983716
.0000000
,0000000
.0000001
.0000015,
.30
• 31
.9885791
.9987431
.0000000
.0000000
.0000002
.0000025,
.31
• 32
.9908475,
.9990336
.0000000
.0000000
.0000003
.0000040
.32
• 33
.9926975-
-9992598
.0000000
.0000000
.0000005,
.0000063
.33
.34
.9941994
.9994353
.0000000
.0000000
.0000009
.0000097
.34
• 35
.9954132
.9995710
.0000000
.0000001
.0000014
.0000149
.35
.36
.9963897
.9996755-
.0000000
.0000001
.0000021
.0000224
.36
.37
.9971718
.9997556
.0000000
,0000002
.0000033
.0000332
.37
.38
.9977951
.9998167
.0000000
.0000003
.0000051
.0000487
.38
• 39
.9982895-
.9998632
.0000000
.0000005,
.0000076
.0000706
.39
.40
.9986797
.9998984
.0000000
.0000008
.0000114
.0001013
.40
.41
.9989862
.9999250
.0000000
.0000012
.0000168
.0001437
.41
.42
.9992257
.9999448
.0000001
.0000019
.0000245,
.0002018
.42
.43
.9994119
.9999597
.0000001
.0000028
.0000355-
.0002806
.43
.44
.9995558
.9999707
.0000002
.0000042
.0000508
.0003866
.44
.45
.9996664
.9999788
.0000003
.0000062
.0000721
.0005279
.45
.46
.9997510
.9999848
.0000004
.0000091
.0001013
.0007145,
.46
.47
.9998153
,9999891
.0000006
.0000132
.0001412
.0009591
.47
.48
.9998639
.9999923
.0000009
.0000190
.0001952
.0012771
.48
• 49
.9999003
.9999946
.0000013
.0000270
.0002677
.0016873
.49
• 50
.9999275,
.9999962
.0000019
.0000381
.0003643
.0022125,
.30
226
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-8
p
n=19 r-15
n=19 r-14
n=19 r=13
n*19 r=12
n=19 r=ll
n=19 r=10
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005,
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000001
.0000015-
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000004
.0000039
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000009
.0000093
.11
.12
.0000000
.0000000
.0000000
.0000002
.0000022
.0000203
.12
.13
.0000000
.0000000
.0000000
.0000005-
.0000049
.0000413
.13
.14
.0000000
.0000000
.0000001
.0000011
.0000102
.0000790
.14
.15
.0000000
.0000000
.0000002
.0000023
.0000201-
.0001435,
.15
.16
.0000000
.0000000
.0000005-
.0000047
.0000376
.0002491
.16
.17
.0000000
.0000001
.0000010
.0000089
.0000673
.0004154
.17
.18
.0000000
.0000002
.0000019
.0000164
.0001157
.0006686
.18
.19
.0000000
.0000004
.0000036
.0000291
.0001922
.0010423
.19
.20
.0000001
.0000007
.0000065,
.0000498
.0003095-
.0015791
.20
.21
.0000001
.0000013
.0000115-
.0000826
.0004843
.0023310
.21
.22
.0000002
.0000023
.0000196
.0001334
.0007385-
.0033605,
.22
.23
.0000004
.0000040
.0000325,
.0002098
.0010997
.0047410
.23
.24
.0000007
.0000069
.0000527
.0003222
.0016024
.0065569
.24
.25
.0000012
.0000115,
.0000835-
.0004844
.0022884
.0089033
.25
.26
.0000021
.0000188
.0001293
.0007136
.0032081
.0118854
.26
.27
.0000036
.0000299
.0001963
.0010319
.0044203
.0156176
.27
.28
.0000059
.0000468
.0002926
.0014663
.0059933
.0202213
.28
.29
.0000094
.0000719
.0004285-
.0020505-
.0080047
.0258233
.29
.30
.0000149
.0001084
.0006173
.0028226
.0105412
.0325534
.30
.31
.0000231
.0001608
.0008757
.0038311
.0136982
.0405410
.31
• 32
.0000353
.0002349
.0012246
.0051302
.0175793
.0499125,
.32
• 33
.0000531
.0003383
.0016891
.0067826
.0222947
.0607877
.33
.34
.0000787
.0004804
.0023000
.0088597
.0279599
.0732761
.34
• 35
.0001151
.0006736
.0030938
.0114409
.0346936
.0874736
.35
• 36
.0001661
.0009328
.0041133
.0146140
.0426158
.1034592
.36
.37
.0002368
.0012768
.0054087
.0184743
.0518448
.1212913
.37
.38
.0003336
.0017282
.0070372
.0231241
.0624947
.1410055,
.38
• 39
.0004648
.0023143
.0090643
.0286713
.0746723
.1626116
.39
.40
.0006407
.0030678
.0115629
.0352279
.0834741
.1860920
.40
.41
.0008741
.0040272
.0146145-
.0429087
.1039827
.2114003
.41
.42
.0011809
.0052373
.0183077
.0518285,
.1212645-
.2384607
.42
.43
.0015805,
.0067499
.0227389
.0621005-
.1403660
.2671682
.43
.0020964
.0086244
.0280107
.0738328
.1613115-
.2973894
.44
.45
.0027564
.0109278
.0342313
.0871264
.1841009
.3289641
.45
.46
.0035941
.0137352
.0415129
.1020717
.2087079
.3617076
.46
.47
.0046485,
.0171297
.0499701
.1187454
.2350781
.3954137
.47
.48
.0059654^
.0212024
.0597181
.1372081
.2631292
.4298582
.48
• 49
.0075976
.0260520
.0708699
.1575005,
.2927504
.4648028
.49
• 50
.0096054
.0317841
.0835342
.1796417
.3238029
.5000000
.50
227
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n- s
p
n=19 r= 9
n=19 r- 8
n=19 7
n= 19 r= 6
n-19 r= 5
n=19 r- 4
P
.01
.0000000
.0000000
.0000000
.0000000
.0000010
.0000344
.01
.02
.0000000
.0000000
.0000001
.0000014
.0000294
.0004875-
.02
.03
.0000000
.0000000
.0000008
.0000141
.0001986
.0021867
.03
.04
.0000000
.0000003
.0000054
.0000708
.00074-31
.0061220
.04
.05
.0000001
.0000018
.0000231
.0002407
.0020128
.0132360
.05
.06
.0000005,
.0000070
.0000741
.0006404
.0044427
.0242994
.06
.07
.0000019
.0000216
.0001953
.0014379
.0085134
.0398477
.07
.08
.0000059
.0000566
.0004451
.0028509
.0147082
.0601610
.08
.09
.0000154
.0001307
.0009079
.0051392
.0234749
.0852729
.09
.10
.0000361
.0002733
.0016964
.0085930
.0351942
.1149976
.10
.11
.0000772
.0005269
.0029521
.0135180
.0501558
.1489666
.11
.12
.0001531
.0009496
.0048435-
.0202195,
.0685441
.1866711
.12
.13
.000284-7
.0016172
.0075623
.0289859
.0904316
.2275027
.13-
.14
.0005014
.0026243
.0113180
.0400741
.1157789
.2707935,
.14
.15
.0008427
.0040843
.0163302
.0536961
.1444419
.3158505-
.15
.16
.0013594
.0061287
.0228210
.0700091
.1761823
.3619855-
.16
.17
.0021152
.0089052
.0310059
.0891078
.2106824
.4085392
.17
.18
.0031872
.0125747
.0410849
.1110203
.2475608
.4549001
.18
.19
.0046664
.0173075-
.0532346
.1357070
.2863897
.5005177
.19
.20
.0066577
.0232783
.0676001
.I630623
.3267119
.5449113
.20
:2l
.0092783
.0306614
.0842888
.1929188
.3680570
.5876747
.21
;22
.0126570
.0396245,
.1033658
.225053.8
.4099564
.6284775,
.22
.23
.0169317
.0503234
.1248499
.2591970
.4519558
.6670636
.23
.24
.0222463
.0628960
.1487121
.2950396
.4936270
.7032469
.24
.25
.0287478
.0774572
.1748759
.3322446
.5345757
.7369069
.25
.26
.0365825,
.0940940
.2032182
.3704559
.5744492
.7679813
.26
.27
.0458917
.1128616
.2335729
.4093092
.6129402
.7964595,
.27
.28
.0568073
.1337806
.2657349
.4484407
.6497900
.8223751
.28
.29
.0694482
.1568346
.2994654
.4874959
.6847890
.8457983
.29
.30
.0839152
.1819695,
.3344985-
.5261375-
.7177765-
.8668290
.30
.31
.1002878
.2090936
.3705473
.5640514
.7486382
.8855898
.31
.32
.1186205,
.2380788
.4073114
.6009525-
.7773042
.9022200
.32
.33
.1389400
.2687634
.4444838
.6365885-
.8037445-
.9168702
•33
• 34
.1612427
.3009545,
.4817580
.6707426
.8279651
.9296973
• 34
.35
.1854936
.3344330
.5188342
.7032354
.8500036
.9408602
.35
.3 6
.2116252
.3689575,
.5554255,
.7359248
.8699243
.9505165,
.36
.37
.2395382
.4042703
.5912635-
.7627063
.8878132
.9588198
• 57
• 38
.2691022
.4401021
.6261019
.7895107
.9037739
.9659171
.38
• 39
.3001578
.4761783
.6597212
.8143026
.9179231
.9719475-
.39
.40
.3325190
.5122247
.6919305,
.8370775,
.9303863
.9770407
.40
.41
.3659768
.5479725,
.7225701
.8578587
.9412945,
.9813166
.41
.42
.4003030
.5831638
.7515118
.8766937
.9507810
.9848846
.42
.43
.4352548
.6175560
.7786593
.8936508
.9589782
.9878438
.43
.44
.4705794
.6509261
.8039475-
.9088153
.9660159
.9902828
.44
.45
.5060190
.6830740
.8273410
.9222859
.9720190
.9922806
.45
.46
.5413160
.7138253
.8488325,
.9341715,
.9771061
.9939065,
.46
.47
.5762]77
.7430330
.8684402
.9445876
.9813884
.9^52213
.47
.48
.6104812
.7705789
.8862050,
.9536536
.9849690
.9962773
.48
.49
.64-38779
.7963740
.9021877
.9614899
.9879425-
.9971199
.49
.50
.6761971
.8203583
.9164658
.9682159
.9903946
.9977875-
.50
228
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V “ 8
p
n=19 r= 3
n=19 r= 2
n-19 r= 1
n=20 r=20
n=20 r=19
n=20 r=l8
p
.01
.OOO8594
.0152758
.1738314
.0000000
.0000000
.0000000
.01
.02
.0060983
.0546159
.3187674
.0000000
.0000000
.0000000
.02
.03
.0182574
.1099551
.4393873
.0000000
.0000000
.0000000
.03
.04
.0383955
.1750823
.5395808
.0000000
.0000000
.0000000
.04
• 05
.0665464
.2452928
.6226464
.0000000
.0000000
.0000000
.05
.06
.1020714
.3170881
.6913763
.0000000
.0000000
.0000000
.06
• 07
.1439224
.3879294
.7481302
.0000000
.0000000
.0000000
• 07
.08
.1908380
.4560353
.7948986
.0000000
.0000000
.0000000
.08
.09
.2414846
.3202153
.8333572
.0000000
.0000000
.0000000
.09
.10
.2945552
.5797350,
.8649148
.0000000
.0000000
.0000000
.10
.11
.3488340
.6342062
.8907528
.0000000
.0000000
.0000000
.11
.12
.4032371
,6834989
.9118605-
.0000000
.0000000
.0000000
.12
.13
.4568332
.7276716
.9290641
.0000000
.0000000
.0000000
.13
.14
.5088517
.7669148
.9430530
.0000000
.0000000
.0000000
.14
• 15
.5586794
.8015083
.9544006
.0000000
.0000000
.0000000
.15
.16
.6058520
.8317873
.9635828
.0000000
.0000000
.0000000
.16
.17
.6500408
.8581166
.9709943
.0000000
.0000000
.0000000
.17
.18
.6910365-
.8808716
.9769610
.0000000
.0000000
.0000000
.18
.19
.7287350
.9004245-
.9817520
.0000000
.0000000
.0000000
.19
.20
.7631107
.9171338
.9855885-
.0000000
.0000000
.0000000
.20
.21
.7942199
.9313381
.9886521
.0000000
.0000000
.0000000
.21
.22
.8221668
.9433520
.9910916
.0000000
.0000000
,0000000
.22
.23
.8470994
.9534632
.9930285,
.0000000
.0000000
,0000000
.23
.24
.8691961
.9619323
.9945618
.0000000
.0000000
.0000000
.24
.25
.8886552
.9689926
.9957717
.0000000
.0000000
.0000000
.25
.26
.9056868
.9748511
.9967236
.0000000
.0000000
.0000000
.26
.27
.9205050-
.9796900
.9974699
.0000000
.0000000
.0000000
•27
.28
.9355227
.9836687
.9980532
.0000000
.0000000
.0000000
.28
.29
.94^5472
.9869250,
.9985075,
.0000000
.0000000
.0000000
.29
.30
.9557765
.9895782
.9988601
.0000000
.0000000
.0000000
.30
.31
.9617967
.9917299
.9991328
.0000000
.0000000
.0000001
.31
.32
.9685815,
.3934671
.9993428
.0000000
.0000000
.O000001
.32
.33
.9742901
.9948630
.9995041
.0000000
.0000000
.0000002
.33
.34
.9790674
.9959796
.9996273
.0000000
.0000000
.0000003
.34
.35
.9850436
.9968684
.9997212
.0000000
.0000000
.0000005,
.35
• 36
.9863353
.9975726
.9997923
.0000000
.0000000
.0000009
.36
.37
.9890456
.9981278
.9998460
.0000000
.0000001
.0000014
.37
.38
.9912650-
.3985633
.9998864
.0000000
.0000001
.0000021
.38
.39
.9930724
.9989032
.'9999166
.0000000
.0000002
.0000033
.39
.40
.9945561
.9991672
.'9999391
.0000000
.0000003
.0000050,
.40
.41
.9957147
.9993711
.'9999557
.0000000
.0000005,
.0000076
.41
.42
.9966585-
.9995277
.'9999680
.0000000
.0000008
.0000114
.42
.43
.9974097
.9996474
.'9999770
.0000000
.0000013
0000169
.43
.44
.9980041
.9997383
.9999836
.0000001
.0000020
.0000247
.44
.45
.9984717
.9998070
.9999883
.0000001
.0000030
.0000359
.45
♦ 46
.9988371
.9998585,
.9999918
.0000002
.0000044
.0000515,
.46
.47
.9991210
.999897 0
.9999942
.0000003
.0000065,
.0000734
.47
.48
.9995400
.9999255,
.9999960
.0000004
.0000096
.0001035,
.48
.49
.9995079
.9999465-
.9999972
.0000006
.0000139
.0001449
.49
.50
.9996557
.9999619
.9999981
.0000010
.0000200
.0002012
• 50
229
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n*2C r =17
n=20 r«=l6
n=20 r=15
n=20 r=l4
n=20 r-13
n=20 r-12
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000002
.0000024
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000005,
.0000050-
.15
.16
.0000000
.0000000
.0000000
.0000001
.0000011
.0000099
.16
.17
.0000000
.0000000
.0000000
.0000002
.0000023
.0000188
.17
.18
.0000000
.0000000
.0000000
.0000005-
.0000045,
.0000343
.18
.19
.0000000
.0000000
.0000001
.0000010
.0000084
.0000601
.19
.20
.0000000
.0000000
.0000002
.0000018
.0000152
.0001017
.20
.21
.0000000
.0000000
.0000004
.0000034
.0000264
.0001670
.21
.22
.0000000
.0000001
.0000007
.0000061
.6000446
.0002665-
.22
.23
.0000000
.0000001
.0000012
.0000106
.0000733
.0004144
.23
.24
.0000000
.0000002
.0000022
.0000179
.0001174
.0006295-
.24
.25
.0000000
.0000004
.0000038
.0000295,
.0001837
.0009354
.25
.26
.0000001
.0000007
.0000065-
.0000475,
.0002812
.0013622
.26
.27
.0000001
.0000012
.0000107
.0000749
.0004219
.0019467
• 2 Z
.28
.0000002
.0000020
.0000173
.0001156
.0006212
.0027339
.28
.29
.0000003
.0000034
.0000275,
.0001753
.0008987
.0037768
.29
.30
.0000005,
.0000056
.0000429
.0002610
.0012789
.0051382
.30
.31
.0000009
.0000089
.0000658
.0003824
.0017919
.0068899
.31
.32
.0000015,
.0000140
.0000992
.0005516
.0024744
.0091159
.32
. 33
.0000024
.0000217
.0001472
.0007840
.0033700
.0119016
.33
.34
.0000039
.0000332
.0002153
.0010991
.0045303
.0153538
.34
.35
.0000061
.0000499
.0003106
.0015207
.0060153
.0195794
.35
• 36
.0000094
.0000741
.0004421
.0020778
.0078936
.0246946
.36
.37
.0000144
.0001085,
.0006216
.0028056
.0102430
.0308214
.37
.38
.0000216
.0001570
.0008635,
.0037456
.0131503
.0380849
.38
.39
.0000322
.0002244
.0011861
.0049468
.0167110
.0466117
.39
.40
•0000473
.0003170
.0016115,
.0064659
.0210289
.0565264
.40
.4l
.0000688
.0004432
.0021669
.0083680
.0262151
.0679490
.41
.42
.0000990
.0006100
.0028846
.0107269
.0323865-
.0809916
.42
.43
.0001409
.0008396
.0038034
.0136252
.0396644
•0957546
.43
.44
.0001986
.0011389
.0049687
.0171544
.0481724
.1123234
.44
.45
.0002772
.0015307
.0064336
.0214144
.0580341
.1307650-
.45
.46
.0003834
.0020391
.0082590
.0265129
.0693699
.1511243
.46
.47
.0005256
.0026931
.0105147
.0325647
.0822945,
.173 J :213
.47
.48
.0007145,
.0035275-
.0132792
.0396899
.0969137
.1976502
.48
.49
.0009633
.0045833
.0166402
.0480128
.1133189
.2237730
.49
• 50
.0012884
.0059090
.0206947
.0576591
.1315880
.2517223
.50
230
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n -s
p
n=20 r =11
n=20 r =10
n=20 r= 9
n=20 r= 8
n=20 r = 7
n=20 r= 6
P
.01
.oooopoo
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000001
.0000019
.02
.03
.0000000
.0000000
.0000000
.0000001
.0000012
.0000196
.03
.04
.0000000
.0000000
.0000000
.0000005,
.0000080
.0000977
.04
.03
.0000000
.0000000
.0000002
.0000029
.OOOO339
.0003293
.05
.06
.0000000
.0000001
. 0000009
.0000110
.0001081
.OOO8685,
.06
.07
.0000000
.0000003
.0000033
.0000337
.0002822
.0019332
• 07
.08
.0000001
.0000009
.0000099
.OOOO876
.0006375,
.0037995-
.08
.09
.0000002
.0000028
.0000258
.0002007
.0012887
.0067894
.09
.10
.0000007
.0000672
.0000599
.0004156
.0023861
.0112531
.10
.11
.0000018
.0000168
.0001267
.0007976
.0041144
.0175482
.11
.12
.0000044
.0000362
.0002486
.0014168
.0066886
.O28OI85-
.12
.13
.0000097
.0000729
.0004579
.0023901
.0103474
.0369738
.13
.14
.0000199
.0001381
.0007986
.0038414
.0153438
.0506727
.14
.13
0000386
.0002484
.0013289
.0059211
.0219351
.0673080
.15
.16
,0000714
.0004267
.0021225-
.0087994
.0303711
.0869968
.16
.17
.0001265-
.0007044
.0032695-
.0126623
.0408832
.1097755,
.17
.18
.0002152
.0011219
.0048769
.0177065,
.0536733
.1355976
.18
.19
.0003538
.0017309
.0070682
.0241336
.0689044
.1643367
.19
.20
.0005634
.0025948
.0099818
.0321427
.0866925,
.1957922
.20
.21
.0008721
.0037899
.0137687
.0419231
.1071011
.2296979
.21
.22
.0013153
.0054058
.0185899
.0536476
.1301372
.2657324
.22
.23
.0019372
.0075449
.0246118
.0674645,
.1557497
.3035315,
.23
.24
.0027914
.0103223
.0320022
.0834919
.1838307
.3427006
.24
.25
.0039421
.0138644
.0409252
.1018119
.2142181
.3828273
.25
.26
.0054642
.0183067
• 0515355,
.1224663
.2467000
.4234942
• 26
.27
.0074436
.0237916
.0639736
• 1-454537
.2810217
.4642896
.27
.28
.0099772
.0304654
.0783599
.1707278
.3168925-
.5048185,
.28
.29
.0131721
.0384745,
.0947902
.1981976
.3539943
.5447109
•29
.30
.0171448
.0479619
.1133315-
.2277282
.3919902
.5836292
.30
.31
.0220195-
.0590625-
.1340176
.2591442
.4305335,
.6212733
.31
.32
.0279259
.0718991
.1568472
.2922332
.4692765,
.6573850,
.32
*33
.0349974
.0865780
.1817817
.3267511
.5078783
.6917499
.33
.34
.0433674
.1031847
.2087447
.3624277
.5460128
.7241983
.34
.35
.0531666
.1217806
.2376224
.3989734
.5833746
.7546043
.35
.36
.0645194
.1423989
.2682648
.4360860
.6196853
.7828846
.36
.37
.0775400
.1656427
.3004890
.4734577
.6546973
.8089958
.37
.38
.0923288
.1896823
.3340821
.5107820
.6881972
.8329307
.38
.39
.IO89687
.2162546
.3688058
.5477600
.7200079
.8547146
.39
.40
.1275212
.2446628
.4044013
.5841071
.7499893
.8744010
.4o
.41
.1480239
.2747766
.4405950,
.6195576
.7780385-
.8920674
.41
.45
.1704869
.3064344
.4771045,
.6538700
.8040882
.9078104
.42
.43
.1948909
.3394454
.5136443
.6868304
.8281057
.9217416
.43
.44
.2211858
*5735930
.5499319
.7182555-
.8500893
.9339836
.44
.45
.2492894
.4086388
.5856938
• 74-79941
.8700662
.9446058
.45
.46
.2790878
.4443275-
.6206703
.7759286
.8880885-
.9539214
.46
.47
•3104359
.4803916
.6546209
.8019744
.9042295-
.9618840
.47
.48
.3431591
.5165572
.8873281
.8260794
.9185803
.9686850-
.48
.49
.3770561
.5525496
.7188010
.8482227
.9312458
.9744516
.49
.30
.4119015-
.5880985,
.7482777
.8684120
.9423409
.9793053
.50
832939 0 - 50 - 16
231
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-20 r- 5
n-20 r- 4
n=20 r= 3
n=20 r= 2
n=20 r= 1
n=21 r=21
p
.01
.0000014
.0000426
.0010036
.0168593
.1820931
.0000000
.01
.02
.0000386
.0005997
.0070687
.0598990
.3323920
.0000000
.02
.03
.0002582
.0026688
.0210084
.1198380
.4562057
.0000000
.03
.04
.0009583
.0074129
.0438628
.1896622
.5579976
.0000000
.04
.03
.0025759
.0159015,
.0754837
.2641605-
.6415141
.0000000
.05
.06
.0056341
.0289657
.1149724
.3395454
.7098938
.0000000
.06
.07
.0107068
.0471329
.1610029
.4131435-
.7657611
.0000000
• 07
.08
.0183444
.0706152
.2120538
.4831444
.8113067
.0000000
.08
.09
.0290367
.0993320
.2665704
.548398I
.8483551
.0000000
.09
.10
.0431745-
.1329533
.3230732
.6082530
.8784233
.0000000
.10
.11
.0610250-
.1709520
.3802249
.6624263
.9027700
.0000000
.11
.12
.0827194
.2126590
.4368685-
.7109023
.9224372
.0000000
.12
.13
.1082508
.2573157
.4920422
.7538526
.9382858
.0000000
.13
.14
.1374809
.3041217
.5449805,
.7915741
.9510256
.0000000
.14
.15
.1701552
.3522748
.5951037
.8244421
.9612405-
.0000000
.15
.16
.2059108
.4010041
.6420017
.8528746
.9694096
.0000000
.16
.17
.2443181
.4495945-
.6854137
.8773058
.9759252
.0000000
.17
.18
.2848819
.4974046
.7252068
.8981677
.9811080
.0000000
.18
.19
.3270740
.5438786
.7613544
.9158767
.9852191
.0000000
.19
.20
.3703517
.5885511
.7939153
.9308247
.9884708
.0000000
.20
.21
.4141767
.6310492
.8230147
.9433741
.9910352
.0000000
.21
.22
.4580310
.6710892
.8488275,
.9538547
.9930515-
.0000000
.22
.23
.5014306
.7084718
.8715631
.9625633
.9946320
.0000000
.23
.24
.5439358
.7430747
.8914528
.9697634
.9958669
.0000000
.24
.25
.5851585-
.7748440
.9087396
.9756874
.9968288
• .0000000
.25
.26
.6247675,
.8037847
.9236695-
.9805379
.9975754
.0000000
.26
.27
.6624904
.8299518
.9364849
.9844906
.9981530
.0000000
.27
.28
.6981138
.8534404
.9474196
.9876963
.9985983
.0000000
.28
.29
.7314817
.8743775,
.9566947
.9902840
.9989403
.0000000
.29
.30
.7624922
.8929132
.9645169
.9923627
.9992021
.0000000
.30
.31
.7910932
.9092139
.9710760
.9940248
.9994016
.0000000
.31
.32
.8172773
.9234557
.9765449
.9953473
.9995531
.0000000
.32
• 33
.8410760
.9358188
.9810792
.9963946
.9996677
.0000000
.33
.34
.8625541
.9464831
.9848175,
.9972198
.9997540
.0000000
.34
.35
.8818034
.9556244
.9878823
.9978669
.9998188
.0000000
.35
.36
.8989375-
.9634113
.9903808
.9983717
.9998671
.0000000
.36
.37
.9140856
.9700034
.9924060
.9987635,
.9999030
.0000000
.37
.38
.9273883
.9755493
.9940383
.9990661
.9999296
.0000000
.38
.39
.9389926
.9801862
.9953464
.9992984
.9999491
.0000000
.39
.40
.9490480
.9840388
.9963885,
.9994760
.9999634
.0000000
.40
.41
.9577036
.9872198
.9972139
.9996108
.9999739
.0000000
.41
.42
.9651045-
.9898296
.9978636
.9997127
.9999814
.0000000
.42
.43
.9713904
.9919571
.9983719
.9997891
.9999869
.0000000
.43
.44
.9766934-
.9936802
.9987672
.9998462
.9999908
.0000000
.44
.45
.9811367
.9950666
.9990726
.9998886
.9999936
.0000001
.45
.46
.9848343
.9961746
.9993070
.9999198
.9999956
.0000001
.46
.47
.9878898
.9970541
.9994857
.9999427
.9999969
.0000001
.47
.48
.9903970
.9977474
.9996210
.9999593
.9999979
.0000002
.48
.49
.9924394
.9982900
.9997228
.9999714
.9999986
.0000003
.49
• 50
.9940910
.9987116
.9997988
.9999800
.9999990
.0000005-
.50
■ J
232
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V‘ a
p
n=21 r =20
,11=21 r =19
n=21 r-18
n-21 r=17
n=21 r=l6
n=21 r=15
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005,
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000001
.0000010
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000002
.0000019
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000004
.0000034
.23
.24
.0000000
.0000000
.0000000
.0000001
.0000007
.0000060
.24
.25
.0000000
.0000000
.0000000
.0000001
.0000012
.0000102
.25
.26
.0000000
.0000000
.0000000
.0000002
.0000022
.0000171
.26
.27
.0000000
.0000000
.0000000
.0000004
.0000038
.0000280
.27
.28
.0000000
.0000000
.0000001
.0000007
.0000063
.0000449
.28
.29
.0000000
.0000000
.0000001
.0000012
.0000104
.000070*!
.29
.30
.0000000
.0000000
.0000002
.0000020
.0000168
.0001084
.30
.31
.0000000
.0000000
.0000003
.0000034
.0000265,
.0001640
.31
.32
.0000000
.0000000
.0000006
.0000055,
.0000413
.0002440
.32
.33
.0000000
.0000001
.0000009
.0000088
.0000631
.0003574
.33
.34
.0000000
.0000001
.0000015,
.0000138
.0000951
.0005158
.34
.35
.0000000
.0000002
.0000025-
.0000214
.0001412
.0007341
.35
.36
.0000000
.0000003
.0000039
.0000327
.0002066
.0010310
.36
.37
.0000000
.0000006
.0000062
.0000492
.0002984
.0014297
.37
.38
.0000001
.0000009
.0000095,
.0000731
. 0004255 -
.0019587
.38
.39
.0000001
.000001*!
.0000146
.0001071
.0005994
.0026528
.39
.40
.0000001
.0000022
.0000220
.0001552
.0008348
.0035533
.40
.41
.0000002
.0000034
.0000327
.0002223
.0011499
.0047095
.41
.42
.0000004
.0000053
.0000482
.0003149
.0015671
.0061783
.42
.43
.0000006
.0000080
.0000702
.0004413
.0021140
.0080267
.43
.44
.0000009
.0000120
.0001012
.0006123
.0028240
.0103304
.44
.45
.0000014
.0000178
■. 0001445 -
.0008413
.0037370
.0131749
.45
.46
.0000021
.0000261
.0002042
. 0011450 ,
.0049003
.0166558
.46
.47
.0000032
.0000379
.0002859
.0015444
.0063693
.0208782
.47
.48
.0000048
.0000547
.0003968
.0020647
.0082083
.0259563
.48
.49
•0000071
.0000781
.0005459
.0027371
.0104912
.0320128
.49
.50
. 0000105 -
.0001106
.0007448
.0035987
.0133018
.0391769
.50
233
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p -
n-21 r=l 4
n=21 r-13
n»21 r=12
n=21 r=11
n=21 r=10
n=21 r- 9
: p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000001
.0000015,
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000005-
.0000054
• 07
.08
.0000000
.0000000
.0000000
.0000001
.0000017
.0000162
.08
.09
.0000000
.0000000
.0000000
.0000005-
.0000048
. 0000415 ,
.09
.10
.0000000
.0000000
.0000001
.0000014
.0000124
.0000954
.10
.11
.0000000
.0000000
.0000004
.0000035-
.0000289
.0002001
.11
.12
.0000000
.0000001
.0000009
.0000082
.0000617
.0003888
.12
.13
.0000000
.0000002
.0000022
.0000179
.0001230
.0007091
.13
.14
.0000000
.0000005,
.0000048
.0000364
.0002306
.0012246
.14
.15
.0000001
.0000012
.0000100
.0000701
. 0004105 -
.0020177
.15
• 16
.0000003
.0000025,
.0000198
.0001283
.0006981
.0031908
.16
.17
.0000006
.0000051
.0000371
.0002247
.0011404
.0048663
.17
.18
.0000012
.0000099
.0000669
.0003784
.0017978
.0071863
.18
.19
.0000024
.0000182
.0001159
.0006154
.0027450,
.0103107
.19
.20
. 0000045 ,
.0000325-
.0001941
.0009697
.0040722
.0144140
.20
.21
.0000082
.0000559
.0003151
.0014848
.0058855-
.0196812
.21
.22
.0000146
.0000934
.0004372
. 0022152*
.0083063
.0263026
.22
.23
.0000250 ,
.0001518
.0007647
.0032270
.0114703
.0344679
.23
.24
.0000418
.0002403
.0011483
.0045989
.0155255,
.0443597
.24
.25
.0000681
.0003716
.0016871
.0064227
.0206296
.0561468
.25
.26
.0001083
.0005623
.0024287
.0088032
.0269462
.0699775,
• 26
.27
.0001686
.0008336
.0034309
.0118575,
.0346407
.0859732
.27
.28
.0002572
.0012128
.0047620
.0157139
.0438758
.1042229
.28
.29
.0003851
,0017334
.0065015-
.0205098
.0548061
.1247784
.29
.30
.0005664
.0024367
.0087402
.0263899
.0675728
. 1476505 -
.30
• 3 l
.0008194
.0033723
.0115801
.0335028
.0822986
.1728068
.31
.32
.0011669
.0045990
.0151338
.0419973
.0990825-
.2001707
.32
.33
.0016374
.0061854
.0195232
.0520190
.1179952
.2296216
.33
.34
.0022657
.0082103
,0248784
.0637053
.1390751
.2809969
.34
.35
.0030938
.0107627
.0313349
.0771815,
.1623252
.2940952
.35
• 36
.0041715-
.0139420
.0390316
.0925560
.1877106
.2386805-
.36
.37
.0055574
.0178570
.0481073
.1099160
.2151578
. 364 ^ 875 -
.37
.38
.0073194
.0226254
.0586976
.1293231
.2445542
.4012281
.38
.39
.0095548
.0283723
.0709309
.1508102
.2757496
. 4385979
.39
.40
.0122911
.0352279
.0849243
.1743779
.3085582
.476283c
.40
, 4 l
.0156853
.0433260
.1007797
.1999925,
.3427622
.5159697
.41
.42
.0198239
.0528006
.1185796
.2275849
.3781159
.5513460
.42
.43
.0248220
.0637832
.1383832
.2570493
.4143569
.5881143
.43
.44
.0308023
.0763989
.1602229
.2882449
.4511821
.6239943
.44
.45
.0378932
.0907630
.1841009
.3209966
.4883135,
.6587289
.45
.46
.0462271
.1069769
.2099875,
.3550980
.5254452
.6920891
.46
.47
.0559377
.1251243
.2378184
.3903150,
.5622794
.7238770
.47
.48
.0671571
.1452670
.2674945-
.4263902
.5985273
.7539287
.48
.49
.0800128
.1674414
.2988817
.4630479
.6339148
.7821157
.49
• 50
.0946236
.1916552
.3318119
.5000000
.6681881
.8083448
.50
234
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 q n ” 8
p
n-21 r- 8
n=21 r= 7
n=21 r = 6
n=21 r= 5
n-21* r= 4
n=21 r= 3
P
.01
.0000000
.0000000
.0000000
.0000018
.0000522
.0011621
.01
.02
.0000000
.0000001
.0000027
.0000498
.0007291
.0081253
.02
.03
.0000001
.0000018
.0000.268
.0003305,
.0032190
.0239732
.03
.04
.0000008
.0000116
.0001321
.0012165-
.0088709
.0496948
.04
.03
.0000044
.0000487
.0004415,
.0032403
.0188806
.0849175,
• 05
.06
.0000168
.0001537
.0011545-
.0070340
.0341261
.1284468
.06
.07
.0000511
.0003978
.0025473
.0132566
.0551038
.1786527
• 07
.08
.0001316
.0008905,
.0049631
.0225261
.0819303
.2337410
.08
.09
.0002986
.0017838
.0087917
.0353633
.1143835-
.2919349
.09
.10
.0006127
.0032728
.0144453
.0521524
.1519653
.3515912
.10
.11
.0011^89
.0055921
.0223306
.0731169
.1939721
.4112671
.11
.12
.0020494
.0090082
.0328226
.0983121
.2395641
.4697525,
• 12
.13
.0034245,
.0138088
.0462398
.1276293
.2878301
.5260776
.13
.14
.0054517
.0202899
.0628259
.1608106
.3378419
.5795036
.14
.15
.OO83232
.0287410
.0827348
.1974714
.3886992
.62950^5-
.15
.16
.0122509
.0394312
.1060231
.2371258
.4395637
.6757413
• 16
.17
.0174599
.0525949
.1326478
.2792151
.4896837
.7180353
.17
.18
.0241806
.0684197
.1524688
.3231360
.5384090
.7563398
.18
.19
.0326401
.0870365,
.1952568
.3682669
.5851990
.7907136
.19
.20
.0430526
.IO85125-
.2307041
.4139916
.6296240
.8212972
.20
• 21
.0556105,
.1328465-
.2684384
.4597199
.6713619
.8482902
.21
.22
•0704753
.1599681
.3080381
.5049038
.7101916
.8719335,
.22
.23
.O8777OI
.1897395,
.3490483
.5490501
.7459828
.8924931
.23
.24
.1075732
.2219595,
•3909970
.5917291
.7786854
.9102473
.24
.25
.1299134
.2565704
.4334101
.6325799
.8083179
.9254765,
.25
. 26
.1547670
.2926665-
.4758252
.6713120
.8349547
.9384553
• 26
.27
.1820570
.3305040
.5178038
.7077050-
.8587157
.9494465-
• 27
.28
.2116539
.3695118
.5589412
.7416053
.8797546
.9586971
.28
.29
.2433786
.4093021
.5988745-
.7729215,
.8982495-
.9664355
.29
.30
.2770068
.4494819
.6372881
.8016185,
.9143943
.9728706
.30
.31
.3122749
.4896829
.5739175-
.8277106
.9283911
.9781901
.31
.32
.3488871
.5294712
.7085505,
.8512543
.9404442
.9825617
.32
• 33
.3865231
.5685560
.7410275,
.8723411
.9507547
.9861333
.33
.34
.4248466
.6065958
.7712392
.8910899
.9595168
.9800343
.34
.35
.4635138
.6433050-
.7991240
.9076408
.9669147
.9913769
.35
•36
.5021818
.6784370
.8246637
.9221481
.9731203
.9932575-
.36
.37
.5405164
.7117878
.8478791
.9347752
.9782923
.99^7583
.37
.38
.5781998
.7431959
.8688246
.9456895,
.9825751
.9959489
.38
.39
.6149367
.7725435,
.8875830
.9550581
.9860987
.9968877
.39
.40
.6504600
•7997540
.9042598
.9630444
.9889787
.9976235-
.40
.41
.6845347
.8247903
.9189782
.9698052
.9913174
.9981968
.41
.42
.7169616
.8476515,
.9318739
.9754890
.9932039
.9986402
.42
.43
.7475788
.8683691
.9430906
.9802341
.9947155-
.9989813
.43
.44
.7762624
.8870028
.9527759
.9841676
.9959185-
.9992420
.44
.45
.8029266
.9036360
.9610777
.9874052
.9968693
.9994398
.45
.46
.8275221
.9183716
.9681413
.9900508
.9976155-
.9995889
.46
.47
.8500343
.9313271
.9741067
.9921970
.9981970
.9997005-
.47
.48
.8704799
.9426305,
.9791067
.9939252
.99864'67
.9997834
.48
.49
.8889040
.9524167
.9832656
.9953062
.9989921
.9998446
.49
.50
.9053764
.9608231
.9866982
.9964013
.9992552
.9998894
.50
235
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n-21 r= 2
n=21 r= 1
n=22 r=22
n=22 r=21
n=22 r=20
n=22 r *19
p
.01
.0185117
.1902721
.0000000
.0000000
.0000000
.0000000
.01
.02
.0653488
.3457442
.0000000
.0000000
.0000000
.0000000
.02
.03
.1299291
. 4725195 -
.0000000
.0000000
.0000000
.0000000
.03
.04
.2043956
.5756777
.0000000
.0000000
.0000000
.0000000
.04
.03
.2830282
.6594384
.0000000
.0000000
.0000000
.0000000
.05
.06
.3617663
.7273001
.0000000
.0000000
.0000000
.0000000
.06
.07
. 4378267
.7821578
.0000000
.0000000
.0000000
.0000000
.07
.08
.5093973
.8264021
.0000000
.0000000
.0000000
.0000000
.08
.09
.5753942
.8620031
.0000000
.0000000
.0000000
.0000000
.09
.10
.6352700
.8905810
.0000000
.0000000
.0000000
.0000000
.10
.11
.6888641
.9134653
.0000000
.0000000
.0000000
.0000000
.11
.12
.7362865,
.9317447
.0000000
.0000000
.0000000
.0000000
.12
.13
.7778289
.9463087
.0000000
.0000000
.0000000
.0000000
.13
.14
.8138973
.9578820
.0000000
.0000000
.0000000
.0000000
.14
.15
.8449619
.9670544
.0000000
.0000000
.0000000
.0000000
.15
.16
.8715202
.9743040
.0000000
.0000000
.0000000
.0000000
.16
.17
.8940711
.9800180
.0000000
.0000000
.0000000
.0000000
.17
.18
.9130970
.9845086
.0000000
.0000000
.0000000
.0000000
.‘18
.19
.9290518
. 9880275 -
.0000000
.0000000
.0000000
.0000000
.19
.20
.9423539
.9907766
.0000000
.0000000
.0000000
.0000000
.20
.21
.9533829
.9929178
.0000000
.0000000
.0000000
.0000000
.21
.22
.9624780
.9945802
.0000000
.0000000
.0000000
.0000000
.22
.23
.9699391
.9958666
.0000000
.0000000
.0000000
.0000000
.23
.24
.9760282
.9968589
.0000000
.0000000
.0000000
.0000000
.24
.25
.9809727
.9976216
.0000000
.0000000
.0000000
.0000000
.25
.26
.9849677
.9982058
.0000000
.0000000
.0000000
.0000000
• 26
.27
. 9881795 -
.9986517
.0000000
.0000000
.0000000
.0000000
.27
.28
.9907489
.9989908
.0000000
.0000000
.0000000
.0000000
.28
.29
.9927943
.9992476
.0000000
.0000000
.0000000
.0000000
.29
.30
. 9944145 ,
. 9994415 -
.0000000
.0000000
.0000000
.0000001
.30
.31
.9956916
.9995871
.0000000
.0000000
.0000000
.0000001
.31
.32
.9966932
.9996961
.0000000
.0000000
.0000000
.0000002
.32
.33
.9974747
.9997774
.0000000
.0000000
.0000000
.0000004
.33
.34
.9980814
.9998377
.0000000
.0000000
.0000000
.0000006
.34
.35
. 9985500 ,
.9998822
.0000000
.0000000
.0000001
.0000010
.35
• 36
.9989100
•9999149
.0000000
.0000000
.0000001
.0000016
.36
.37
.9991851
.9999389
.0000000
.0000000
.0000002
.0000026
.37
.38
•9993942
.9999563
.0000000
.00000OO
.0000004
.0000042
.38
.39
.9995522
.9999690
.0000000
.0000000
.0000006
.0000065,
.39
.40
.9996709
.9999781
.0000000
.0000001
.0000010
.0000101
.40
.41
.9997597
.9999846
.0000000
.0000001
.0000015,
.0000154
.41
.42
. 9998255 ,
.9999892
.0000000
.0000002
.0000024
.0000233
.42
.43
.9998742
. 9999925 ,
.0000000
.0000003
.0000038
.0000347
.43
.44
.9999098
.9909948
.0000000
.0000004
.0000058
.0000512
.44
• 45
.9999358
. 9999965 -
.0000000
.0000007
.0000088
.0000748
.45
.46
•9999547
.9999976
.0000000
.0000010
.0000131
.0001080
.46
.47
.9999682
.9999984
.0000001
.0000016
.0000195,
.0001545-
.47
.48
.9999778
.9999989
.0000001
.0000024
.0000287
.0002189
.48
• 49
.9999847
.9999993
.0000002
.0000037
.0000419
.0003073
.49
• 50
. 9999895 ,
. 9999995 ,
.0000002
.0000055-
.0000606
.0004277
.50
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-s
q
p
ri=22 r=l8
n=22 r=17
n=22 r-16
n=22 r-15
n=22 r-14
n=22 r=l3
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005-
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000003
.0000025,
.15
.16
.0000000
.0000000
.0000000
.0000001
.0000006
.0000053
.16
.17
.0000000
.0000000
.0000000
.0000001
.0000014
.0000106
.17
.18
.0000000
.0000000
.0000000
.0000003
.0000028
.0000201
.18
.19
.0000000
.0000000
.0000001
.0000007
.0000054
.0000368
.19
.20
.0000000
.0000000
.0000001
.0000013
.0000101
.0000648
.20
.21
.0000000
.0000000
.0000003
.0000025,
.0000183
.0001103
.21
.22
.0000000
.0000001
.0000006
.0000047
.0000319
.0001823
.22
.23
.0000000
.0000001
.0000011
.0000084
.0000542
.0002927
.23
.24
.0000000
.0000002
.0000020
.0000146
.0000894
.0004582
.24
.25
.0000000
.0000004
.0000035-
.0000247
.0001440
.0007005-
.25
.26
.0000001
.0000007
.0000061
.0000408
.0002263
.0010475,
.26
.27
.0000001
.0000013
.0000103
.0000660
.0003481
.0015349
•27
.28
.0000002
.0000023
.0000171
.0001043
.0005248
.0022065,
.28
.29
.0000004
.0000039
.0000278
.0001616
.0007761
.0031161
.29
.30
.0000007
.0000065-
.0000442
.0002458
.0011275-
.0043277
.30
.31
.0000013
.0000106
.0000691
.0003671
.0016108
.0059167
.31
.32
.0000021
.0000170
.0001061
.0005393
.0022652
.0079701
.32
.33
.0000035,
.0000267
.0001602
.0007798
.0031383
.0105869
.33
.34
.'0000057
.•0000415-
.0002381
.0011108
.0042869
.0138774
.34
.35
.0000091
.0000633
.0003487
.0015600
.0057779
.0179630
.35
.36
.0000143
.’0000953
.0005034
.0021616
.0076889
.0229742
.36
.37
.0000221
.0001414
.0007169
.0029569
.0101083
.0290496
.37
.38
.*0000337
.’0002070
.0010081
.0039958
.0131357
.0363329
.38
.39
.‘0000507
.’0002991
.0014002
.0053368
.0168814
.0449701
.39
.40
.*0000753
.’0004271
.0019222
.0070484
.0214658
.0551065-
.40
.41
.'0001104
.0006026
.0026092
.0092095-
.0270180
.0668820
.41
.42
.0001602
;ooo84o8
.0035038
.0119095-
.0356741
.0804278
.42
.43
.’0002298
70011606
.0046565-
.0152487
.0415753
.0958612
.43
.44
.0003261
70015855-
.0061268
.0193380
.0508648
.1132814
.44
.45
.0004580
.0021444
.0079841
.0242982
.0616846
.1327651
.45
.46
. 000'6370
.0028724
.0103078
.0302586
.0741720
.1543618
.46
.47
.0008774
.0038121
.0131885-
.0373562
.0884554
.1780905,
.47
.48
.0011974
.0050137
.016727*!
.0457327
.1046499
.2039362
.48
.49
.0016196
.0065386
.0210368
.0555328
.1228528
.2318471
.49
.50
.0021718
.0084503
.0262^94
.0669003
,1431394
.2617356
.50
237
BINOMIAL DISTRIBUTION
Table B - Partial Sums
n
2
s-r
s q n-s
p
n=22 r=12
n=22 r-ll
n=22 r=10
n=22 r= 9
n=22 r- 8
n=22 r- 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000001
.0000025,
.03
.04
.0000000
.0000000
.0000000
.0000001
.0000013
.0000164
.04
.05
.0000000
.Ooooooo
.0000000
.0000005,
.0000066
.0000684
.05
.06
.0000000
.0000000
.0000002
.0000024
.0000250,
.0002137
.06
.07
.0000000
.0000001
.0000008
.0000086
.0000754
.0005483
• 07
.08
.0000000
.0000003
.0000028
.0000254
.0001923
.0012163
.08
.09
.0000001
.0000009
.0000081
.0000647
.0004323
. 0024145 ,
.09
.10
.0000002
.0000025-
.0000207
.0001472
.OOO8787
.0043000
.10
.11
.0000007
.0000063
.0000477
.0003055,
.0016466
.0074333
.11
.12
.0000018
.0000146
.0001010
.0005881
. 0028845 -
.0118659
.12
.13
.0000042
.0000315,
.0001992
.0010621
. 0047745 -
.0180249
.13
.14
.0000092
.0000636
.0003698
.0018164
.0075291
.0262449
.14
.15
.0000190
.0001211
.0006516
.0029636
.OH3859
.0368401
.15
.16
.0000571
.0002195-
.0010969
.0046404
.0165998
.0500859
.16
.17
.0000690
.0003804
.0017738
.0070072
.0234328
.0662039
.17
.18
.0001229
.0006339
.0027677
.0102452
.0321436
.0853485,
.18
.19
.0002108
.0010200
.0041825-
.0145533
.0429754
.1075984
.19
.20
.0003492
.0015902
.0061406
.0201417
.0561446
.1329508
.20
.21
.0005607
.0024090
.0087826
.0272263
.0718301
.1613208
.21
.22
.0008752
.0035552
.0122655-
.0360206
.0901637
. 1925435 ,
.22
.23
.0013310
.0051229
.0167597
.0467274
.1112231
.2263806
.23
.24
.0019765-
.0072213
.0224457
.0595310
.1350259
.2625285,
.24
.25
.0028710.
.0099744
.0295089
.0745885-
.1615276
.3006303
.25
.26
.0040861
t 0135204
.0381343
.0920228
.1906209
.3402878
.26
.27
.0057061
.0180090
.0485005-
.1119158
.2221377
. 3810750 -
.27
.28
.0078285,
.0235992
.0607730
.1343036
.2558541
.4225520
.28
.29
.0105639
.0304557
.0750980
.1591724
.2914964
.4642781
-29
.30
.0140351
.0387448
.0915961
.1864574
.3287493
.5058237
.30
.31
.0183761
. 0486295 “
.1103561
.2160419
.3672652
. 54 8.78l 8
.31
.32
.0237301
.0602646
.1314307
.2477600
.4066740
.5867766
.32
*33
.0302468
.0737911
.1548319
.2813991
.4465939
.6254716
.33
.34
.0380795,
.0893310
.1805285,
.3167058
. 486641 ^
.6625746
.34
.35
.0473812
.1069818
.2084447
.-3533917
.5264407
.6978416
.35
.36
.0583004
.1268117
.2384598
.3911409
.5656337
.7310786
.36
.37
.0709765-
. 1488555 -
.2704098
.4296182
.6038868
. 7621415 ,
.37
.38
.0855353
.1731109
.3040903
.4684773
.640898.3
.7909348
.38
.39
.1020838
.1995366
.3392604
.5073701
.6764034
.8174089
.39
.40
.1207057
.2280500-
.3756483
.5459541
.7101776
.8415563
.40
.41
.1414570
.2585281
.4129572
.5839013
.7420395
.8634074
.41
.42
.1643618
.2908079
.4508725,
. 6209046
.7718514
.8830249
.42
.43
.1894097
.3246890
.4890692
.6566840
.7995186
.9004993
.43
.44
.2165526
.3599373
.5272195-
.6909922
.8249881
.9159429
.44
.45
.2457040
.3962892
.5650005-
.7236179
*8482458
.9294848
.45
.46
.2767383
.4334577
.6021014
.7543883
.8693129
.9412657
.46
.47
.3094918
.4711383
.6382303
.7831709
.8882419
. 9514335 ,
.47
.48
.3437644
.5090160
.6731200
.8098733
.9051122
.9601391
.48
.49
.3793231
.5467727
.7065332
.8344420
.9200252
.9675327
.49
.50
.4159060
.5840940
.7382664
.8568606
.9350997
.9737606
.50
238
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V 8
p
n-22 v - 6
n=22 r = 5
n=22 r= 4
n=22 r=- 3
n=22 r= 2
n=22 r= 1
P
.01
.0000001
.0000023
.OOOO633
.0013356
.0202293
.1983694
.01
.02
.0000036
.OOOO634
.0008770
.0092698
.0709567
.3588293
.02
.03
.0000359
.0004172
.0038416
.0271519
.1402068
.4883439
.03
.04
. 0001755 -
.0015226
.0105039
.0558828
.2192469
.5926506
.04
.03
. 0005815 -
.0040223
.0221825-
.0948230
.3018487
. 6764665 -
.05
.06
.0015072
.OO86596
'.0397854
.1424460
.3836983
.7436621
.06
.07
.0032970
.0161859
.0637523
.1967949
.4619299
.7974068
• 07
.08
.OO6368I
.0272784
'.0940751
. 2557935 ,
.5347577
.8402900
.08
.09
.0111831
.0424751
.1303631
0174462
.6011890
.8744228
• 09
.10
.0182160
.0621337
. 1719279 -
•3799591
.6608011
.9015229
.10
.11
.0279171
.o 864 lio
•. 2178745 ,
.4418028
.7135702
.9229841
.11
.12
.0^06813
.1152624
•.2671867
.5017366
. 7597415 -
.9399354
.12
.13
. 0568205 -
.1484554
•.3188023
.5588052
.7997313
. 9532885 ,
.13
.14
.0765438
. 1855950 ,
. 3716745 ,
.6123187
.8340552
. 9637785 ,
.14
.15
.0999452
.2261556
4248200
.6618231
.8632758
.9719962
.15
.16
. 1269995 ,
.2695158
.4773521
.7070659
.8879656
.9784154
.16
.17
.1575642
.3149947
•.5285035-
.7479614
.9086821
.9834149
• 17
.18
.1913889
.3618851
.5776366
.7845561
.9259511
.9872970
.18
.19
.2281287
.4094840
*.6242468
.8169979
.9402571
.9903023
• 19
.20
.2673616
.4571181
.6679586
. 8455085 ,
•. 9520385 -
.9926213
.20
.21
.3086075
.5041648
•.7085169
.8703597
.9616852
.9944051
.21
.22
.3513486
.5500671
*.7457748
.8918533
. 9695405 -
. 9957725 ,
.22
.23
. 3950487 *
.5943446
•.7796802
.9103057
.9759024
.9968173
.23
.24
.4391727
.6365986
•.8102603
.9260347
.9810276
.9976127
.24
.25
.4832026
.67651 44
-.8376075,
.9393506
.9851349
.9982162
.25
.26
.5266518
.7138591
.8618649
. 9505485 ,
.9884096
.9986723
.26
.27
.5690771
.7484779
.8832130
.9599044
.9910070
.9990158
.27
.28
.6100871
.7802871
.9018585-
.9676716
.9930566
.9992734
.28
.29
.6493481
.8092666
.9180235-
.9740796
.9946658
.9994658
.29
.30
.5865872
.8354512
.9319372
.9793338
.9959226
.9996090
.30
.31
.7215933
.8589216
.9438288
.9836156
.9968992
.9997151
.31
.32
.7542158
.8797951
.9539218
.9870838
.9976541
.9997934
.32
• 33
.78^3610
.8982176
-.9624297
.9898760
.9982346
.9998508
.33
.34
.8119885-
.9143551
.9695528
.9921103
.9986786
•.9998929
.34
.35
.8371049
.9283866
.9754764
•. 9938875 -
.9990163
.9999234
.35
• 36
.8597580
.9404981
.9803697
.9952924
.9992718
.9999456
.36
.37
.8800306
.9508765,
.9843847
.9963962
.9994640
. 9999615 -
.37
.38
.8980333
.9597060
.9876572
'.9972581
.9996078
.9999729
.38
.39
.9138983
.9671639
.9903064
.9979269
.9997147
'.9999811
.39
.40
.9277736
.9734181
.9924366
. 9984425 -
.9997938
.9999868
.40
.41
.9398173
.9786252
.9941379
. 9988375 -
.9998519
.9999909
.41
.42
.9501923
.9829293
.9954871
.9991380
.9998943
.•9999938
.42
.43
.9590623
.9864611
.9965498
.9993652
.9999251
.9999957
.43
.44
.9655882
.9893380
.9973808
.9995358
.9999472
.9999971
.44
.45
.9729251
.9916640
.9980260
.9996630
.9999631
.9999981
.45
.46
.9782197
.9935306
.9985233
.9997571
.9999744
.9999987
.46
.47
.9826092
.9950170
.9989036
.9998263
.9999824
.9999991
.47
.48
.9882196
. 9961915 ,
.9991923
.9998767
. 999988 c
.9999994
.48
.49
.9891655,
.9971123
.9994098
.9999132
.9999918
.9999996
.49
• 50
.9915497
.9978282
.9995723
.9999394
. 9999945 ,
.9999998
.50
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
a=23 r-23
n-23 r=22
n-23 r =21
n=23 r=20
n=23 r =19
■ j -- - r : r - ■ ■ as
n =23 r=l8
.01
.0000000
.0000000
.000000
.0000000
.ooooooo
.ooooooo
.01
.02
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.02
.03
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.03
.04
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.04
.05
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.05
.06
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.06
.07
.'0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.07
.08
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.08
.09
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.09
.10
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.10
.11
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.11
.12
.0000000
.oooocoo
.0000000
.0000000
.ooooooo
.ooooooo
.12
.13
.0000000
.0000000
.0000000
,0000000
.ooooooo
.ooooooo
.13
.14
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.14
.15
.Ooooooo
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.15
.16
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
• 16
.17
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.17
.18
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.18
.19
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.19
.20
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.20
.21
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.21
.22
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.22
.23
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.23
.24
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.0000001
.24
.25
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.0000001
.25
.26
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.0000002
.26
.27
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.0000004
.27
.28
.0000000
.0000000
.0000000
.ooooooo
.0000001
.0000008
.28
.29
.0000000
.0000000
.0000000
.ooooooo
.0000001
.0000014
.29
.30
.0000000
,0000000
.0000000
.ooooooo
.0000003
.0000025-
.30
.31
.0000000
.0000000
.0000000
.ooooooo
.0000005-
.0000042
.31
.32
.0000000
.0000000
.0000000
.0000001
.0000008
.0000069
.32
*33
.0000000
.0000000
.0000000
.0000001
.0000014
.0000112
.33
.34
.0000000
.0000000
.0000000
.0000002
.0000023
.0000179
.34
.35
.0000000
.0000000
.0000000
.0000004
.0000038
.0000281
.35
• 36
.0000000
.0000000
.0000001
.0000007
.0000062
. 0000435 -
.36
.37
.0000000
.0000000
.0000001
.0000011
.0000098
.0000662
.37
.38
.0000000
.0000000
.0000002
.0000018
.0000154
.0000995,
.38
.39
.0000000
.0000000
.0000003
.0000029
.0000238
.0001476
.39
.40
.0000000
.0000000
.0000004
.0000046
.0000362
.0002160
.40
.41
.0000000
.0000000
.0000007
.0000072
.0000544
.0003122
.41
.42
.0000000
.0000001
.0000011
.0000112
.0000808
.0004461
.42
.43
.0000000
.0000001
.0000018
.0000171
.0001186
.0006300
.43
.44
.0000000
.0000002
.0000028
.0000258
.0001722
.0008802
.44
.45
.0000000
.0000003
.0000043
.0000385-
.0002472
.0012169
.45
.46
.0000000
.0000005*
.0000066
.0000568
.0003513
.0016653
.46
.47
.0000000
.0000008
.0000100
.0000830
.0004943
.0022567
.47
.48
.0000000
.0000012
.0000150,
.0001200
.0006886
.0030292
.48
.49
.0000001
.0000019
.0000224
.0001720
.0009504
.0040289
.49
.50
.0000001
.0000029
.0000330
.0002441
.0012997
.0053110
.50
-
240
BINOMIAL DISTRIBUTION
Table E - Partial Sums
n
2
s-r
s n-s
q
p
n =23 r- 1.7
—
n=23 r =16
n=23 r-15
n=23 r-14
n=23 r=13
n=23 r=12
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.09
.10
.0000000
.0000000
.0000000 '
.0000000
.0000000
.0000005-
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000001
.0000013
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000004
.0000033
.12
.13
.0000000
.0000000
.0000000
.0000001
.0000010
.0000078
.13
.14
.0000000
.0000000
.0000000
.0000003
.0000023
.0000169
.14
.15
.0000000
.0000000
.0000001
.0000006
.0000050-
.0000344
.15
.16
.0000000
.0000000
.0000002
.0000014
.0000104
.0000663
.16
.17
.0000000
.0000000
.0000004
.0000029
.0000205,
.0001220
.17
.18
.0000000
.0000001
.0000008
.0000059
.0000386
.0002149
.‘18
.19
.0000000
.0000002
.•0000016
.000011*!
.0000699
.0003646
.19
.20
.0000000
.0000004
.0000031
.0000210
.0001217
.0005974
.20
.21
.0000001
.0000008
.0000058
.0000376
.0002049
.0009489
.21
.22
.0000002
.0000015-
.0000107
.0000650-
.00033*17
.001*1648
.22
.23
.0000003
.0000027
.0000189
.0001090
.0005315,
.0022031
.23
.24
.0000006
.0000050-
.0000325,
.0001779
.0008226
.0032352
.24
.25
.0000012
.0000088
.0000545,
.0002831
.0012*131
.0046468
.25
.26
.0000021
.0000151
.0000891
:0004398
.0018376
.0065390
.26
.27
.0000037
.0000253
.0001422
.0006686
.0026611
.0090279
.27
.28
.000006*1
.0000415,
.0002220
.0009957
.0037807
.0122443
.28
.29
.0000108
.0000666
.0003398
.00145*17
.0052760
.0163325,
-29
.30
.0000178
.00010*17
.0005103
.0020875,
.0072399
.0214480
.30
.31
.0000287
.0001615,
.0007527
.0029456
.0097791
.0277547
.31
.32
.0000455-
.0002447
.0010916
.0040908
.0130133
.035*1211
.32
• 33
.0000708
.0003647
.0015581
.0055963
.0170747
.0446165-
.33
.34
.0001083
.0005348
.0021906
.0075477
.0221062
.0555050,
.34
.35
.0001632
.0007726
.0030363
.0100427
.0282594
.0682414 '
.35
•36
. 0002*122
.0011003
.0041514
.0131916
.0356916
.0829644
.36
.37
.0003544
.0015457
.0056029
.017116c
.0445625,
.0997917
.37
.38
.0005114
.0021434
.0074689
.0219506
.0550298
.1188140
.38
.39
.0007286
.0029355-
.0098392
.0278360
.0672445-
.1400904
.39
.40
.0010251
.0039727
.012815*1
.0349221
.0813462
.1636434
.40
.41
.0014253
.0053153
.0165109
.0433622
.0974578
.1894561
.41
.42
.0019593
.0070342
.0210506
.0533107
.1156801
.2174692
.42
.43
.0026638
.0092111
.0265692
.0649183
.1360870
.2475798.
.43
.44
.0035837
.0119398
.0332098
.0783281
.1587207
.2796*119
.44
.45
.0047722
.0153254
.0411221
.0936708
.1835876
.3134674
.45
.46
.0062927
.0194852
.0504588
.1110593
.2106550,
.3488293
.46
.47
.0082190
.0245473
.0613728
.1305839
.2398491
.3854657
.47
.48
.0106362
.0306499
.0740130
.1523073
.2710538
.4230852
.48
.49
.0136417
.0379398
.0885196
.1762600
.3041104
.*1613734
.49
.50
.0173448
.0465698
.1050198
.2024364
.3388197
.5000000
.50
241
BINOMIAL DISTRIBUTION
Table E - Partial Sums
n
Z
s-r
V * 8
p
n=23 r=ll
n=2'3 r=10
n=23 r= 9
n=23 r ~ 8
n-23 r= 7
n=23 r =■ 6
P
.01
.0000000
.0000000
.0000000
.OQOOOOO
.0000000
.0000001
.01
.02
.OQOOOOO
.0000000
.0000000
.OQOOOOO
.0000002
.0000048
.02
.03
.OQOOOOO
.0600000
.0000000
.0000002
.0000035,
.0000474
.03
.04
.OQOOOOO
. 000000.0
.0000001
.0000019
.0000228
.0002293
.04
.03
.0000000
.0000001
.0000008
.0000097
.0000940
.0007535,
.05
.06
.0000000
.0000003
,0000038
.0000364
.0002914
.0019364
.06
.07
.OQOOOOl
.0000014
.0000133
.0001085-
.0007407
.0041992
.07
.08
.0000003-
.0000046
.0000388
.0002743
.0016285-
,0080409
.08
.09
.0000015,
.0000132
.0000978
.0006107
.0032037
.0139994
.09
.10
.0000043
.0000334
.0002203
.0012298
.0057726
.0226077
.10
.11
.0000108
.0000761
.0004530
.0022831
.0096865,
.0343515-
.11
.12
.0000250-
.0001594
.0008637
.0039623
.0153238
.0496310
.12
. 13
.0000533
.0003113
.0015447
.0064970
.0230683
.0687330
.13
.14
.0001065-
.0005723
.0026162
.0101493
.0332868
.0918109
.14
.15
.0602007
.0009984
.0042269
.01520*10
.0463059
.H88768
.15
• 16
.0603598
.0616639
.0065539
.0219575,
.0623921
.1498021
.16
.17
.0606173
.0026635-
.0097995,
.0307039
.0817351
.1843274
•.17
. 18
.0010180
.0041137
.0141869
.0417205-
.1044358
.2220782
.18
.19
.0616209
.0061529
.0199535-
.0552538
.1304991
.2625862
.19
.20
.0625003
.0089408
.0273423
.0715058
.1598330
.3053129
.20
.21
.0037474
.0126558
.0365931
.0906231
.1922510
.3496746
.21
.22
.0054715-
.0174916
.0479321
.1126873
.2274806
.3950666
.22
• 23
.0677994
.0236523
.0615614
.1377093
.2651742
.4408868
.23
.24
.0108751
.0313462
.0776498
.1656265,
.3049231
.4865550-
.24
.25
.0148581
.0407788
.0963233
.1963033
.3462734
.5315305,
.25
.26
.0199200
.0521453
.1176583
.2295343
.3887424
.5753257
.26
.27
.0262417
.0656226
.1*116757
.2650508
.4318356
.6175155
•27
.28
.0340079
.0813616
.1683377
.3025295,
.4750619
.6577431
.28
.29
.0434020
.0994796
.1975464
.3416031
.5179484
.6957245-
.29
.30
.0546002
.1200545-
.2291450-
.3818716
.5600528
.7312464
.30
• 31
.0677648
.1431187
.2629211
.4229153
.6009734
.7641651
.31
. 32
.0830377
.1686561
.2986125-
.4643069
.6403571
.7944012
.32
*33
.1005346
.1965991
.3359134
.5056236
.6779051
.8219337
.33
.34
.1203382
.2268288
.3744839
.5464586
.7133753
.8467931
.34
• 35
.1424938
.2591762
.4139589
.5864310
.7465838
.8690535-
.35
.36
.1670050,
.2934250-
.4539583
.6251939
.7774032
.8888245-
.36
• 37
.1938306
.3293189
.*1940976
.6624410
.8057605,
.9062436
.37
.38
.2228831
.3665574
.5339973
.6979122
.8316322
.9214689
.38
• 39
.2540289
. *1048232
.5732931
.7313955,
.8550398
.9346719
.39
.4o
.2870893
. *1437707
.6116435,
.7627291
.8760433
.9460314
.40
.41
.3218440
.4830443
.6487380
.7918003
.8947354
.9557285,
.41
.42
.3580350,
.5222860
.6843022
.8185443
.9112352
.9639418
.42
.43
.3953725,
.5611436
.7181029
.8429403
.9256814
.9708438
.43
.44
.4335415-
,7499504-
.7499504
.8650083
.9382269
.9765981
.44
.45
I, /•
.4722093
.6363783
.7797005-
.8848034
.9490329
.9813576
.45
.46
.5110338
.'6721534
.8072536
.9024112
.9582645,
.9852627
.46
• 47
.5496715,
,7063524
.8325543
.9179420
.9660861
.9884409
.47
.48
.5877859
.7387616
.8555880
.9315251
.9726577
.9910061
.48
.49
.6250553
.7692085-
.8763778
.9433039
.9781328
.9930594
.49
.50
.6611803
.7975636
.8949802
.9534302
.9826552
.9946890
.50
E42
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 q n “ 8
p
n=23 r= 5
n=23 r- 4
11=23 3
n=23 r= 2-
n=23-r= 1
n=24 r=24
p
.01
.0000029
.0000761
.0015246
.0220107
.2063857
.0000000
.01
.02
.0000797
.0010448
.0105035,
.0767142
.3716527
.0000000
.02
.03
.0005199
.0045410
.0305436
.1506509
.5036936
.0000000
.03
.04
.0018819
.0123190
.0624174
.2341830
.6089445,
.0000000
.04
.05
.0049303
.0258145,
.1051743
.3205796
.6926431
.0000000
.05
.06
.0105271
.0459450,
.1569211
.4052961
.7590424
.0000000
.06
.07
.0195156
.0730652
.2153544
.4854133
.8115883
.0000000
.07
.08
.0326221
.1070126
.2781106
.5592003
.8530668
.0000000
.08
.09
.0503850,
.1472006
.3429831
.6257801
.8857248
.0000000
.09
.10
.0731131
.1927310
.4080433
.6848733
.9113706
.0000000
.10
.11
.1008720
.2425066
. 4716972
.7366058
.9314559
.0000000
.11
.12
.1334935
.2953327
.5326972
.7813648
.9471431
.0000000
.12
.13
.1706005-
.3500027
.5901256
.8196937
.9593610
.0000000
.13
.14
.2116461
.4053647
.6433618
.8522165-
.9688495,
.0000000
.14
.15
.2559552
.4603704
.6920410
.8795838
.9761968
.0000000
.15
.16
.3027696
.5141063
.7360099
.9024375,
.9818689
.0000000
.16
.17
.3512912
.5658113
.7752839
.9213866
.9862344
.0000000
.17
.18
.4007204
.6148821
.8100072
.9369933
.9895836
.0000000
.18
.19
.4502889
.6608695-
.8404171
.9497657
.9921448
.0000000
.19
.20
.4992862
.7034686
.8668145,
.9601550,
.9940970
.0000000
.20
.21
.5470787
.7425039
.8895380
.9685564
.9955800
.0000000
.21
.22
.5931228
.7779121
.9089445-
.9753115,
.9967026
.0000000
.22
.23
.6369718
.8097240
.9253929
.9807128
.9975493
.0000000
.23
.24
.6782774
.8380462
.9392330
.9850080
.9981857
.0000000
.24
.25
.7167877
.8630433
.9507967
.9884053
.9986621
.0000000
.25
.26
.7523406
.8849226
.9603924
.9910779
.9990175,
.6000000
.26
.27
.7848564
.9039197
.9683021
.9931693
.9992815,
.0000000
.27
.28
.8143271
.9202862
.9747794
.9947973
.9994768
.0000000
.28
.29
.8408061
.93^2798
.9800496
.9960578
.9996207
.0000000
.29
.30
.8643970
.9461562
.9843104
.9270285,
.9997263
.0000000
.30
.31
.8852428
.9561627
.9877335,
.9977721
.9998034
.0000000
.31
.32
.9035157
.9645336
.9904663
.9983387
.9998595-
.0000000
.32
• 33
.9194076
.9714869
.9926343
.9987680
.9999001
.0000000
.33
.34
.9331223
.9772223
.9943435,
.9990914
.9999293
.0000000
.34
.35
.9448681
.9819203
.9956826
.9993338
.9999502
.0000000
.35
• 36
.9548519
.9857419
.9967250-
.9995143
.9999652
.0000000
.36
.37
.9632746
.9888290
.9975313
.9996481
.9999757
.0000000
.37
.38
.9703275-
.9913055,
.-9981510
.9997465,
.9999832
.0000000
.38
.39
.9761895-
.9932784
.9986241
.9998186
.0999884
.0000000
.39
.40
.9810255,
.9948390
.9989830
.9998710
.9999921
.0000000
.40
.41
.9849854
.9960647
.9992534
.9999089
.9999946
.0000000
.41
.42
.9882036
.9970205,
.•9994557
.9999361
.9999964
.0000000
.42
. 43
.9907992
.9977604
.9996060
..9999555-
.9999976
.0000000
.43
.44
.9928768
.9983290
.•9997169
.9999692
.9999984
.0000000
.44
.45
.9945269
.9987627
.9997981
.9999788
.9999989
.0000000
.45
.46
.9958272
.9990908
.9998571
.9999856
.9999993
.0000000
• 46
• 47
.9968437
.9993373
.9998997
.9999903
.9999995,
.0000000
.47
.48
.9976319
.9995209
.9999301
.9999935-
.9999997
.0000000
.48
.49
.9982381
.9996565-
.9999518
.9999957
.9999998
.0000000
.49
• 50
.9987003
.9997559
.9999670
.9999971
.9999999
.0000001
.50
243
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q ii-s
p
n=24 r-23
n-24 r=22
n-=24 r=21
n=24 r=20
n=24 r=19
n=24- r =18
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000600
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000-
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0900000
.0000000
.12
• 13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0006000
.14
.15
.0000000
.0000000
.0000000
.0000000
,0000000
.0000600
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
,0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.23
.24
.QOOOOOO
.0000000
.0000000
.0000000
.0000000
.0000002
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000002
.0000013
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000003
.0000024
.28
.29
.0000000
.0000000
.0000000
.0000001
.0000005,
.000004-1
.29
.30
.0000000
.0000000
.0000000
.0000001
.0000009
.0000071
.50
.31
.0000000
.0000000
.0000000
.0000002
.0000016
.0000118
.31
.32
.0000000
.0000000
.0000000
.0000003
.0000028
.0000192
.32
• 33
.0000000
.0000000
.0000001
.000000$
.0000046
.0000309
.33
.34
.0000000
.0000000
.0000001
.0000010
.0000076
•0000436
.34
• 35
.0000000
.0000000
.0000002
.0000016
.0000123
.0000754
.35
.36
.0000000
.0000000
.0000003
.0000027
.0000196
.0001150,
.36
•37
.0000000
.0000000
.0000005-
.000004-3
.0000307
.0001728
.37
.38
.0000000
.0000001
.0000008
.0000070
.0000474
.0002560
.38
• 39
.0000000
.0000001
.0000013
.0000110
.0000720
.0003742
.39
.40
.0000000
.0000002
.0000021
.0000172
.0001081
.0005396
.40
.41
.0000000
.0000003
.0000034
.0000266
.0001601
.0007686
.41
.42
.0000000
.0000005,
.0000053
.0000404
.0002342
.0010816
; 42
.43
.0000001
.0000008
.0000084
.0000607
.0003385,
.0015046
.43
.44
.0000001
.0000013
.0000129
.0000902
.0004837
.0020697
.44
• 45
.0000001
.0000001
.0000197
.0001324
.0006836
.0028168
.45
.46
.0000002
.0000033
.0000297
.0001923
.0009558
.0037939
.46
.47
.48
.0000004
.0000006
.0000051
.0000079
.0000443
.0000654
.0002763
.0003929
.0013226
.0018121
.0050590
. 0066806
.47
.48
.49
.0000010
.0000119
.0000957
.0005534
..0024589
.0087392
.49
. 50
.0000015-
.0000179
.0001386
.0007719
.0033054
.0113279
.50
244
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 n-s
q
p
n-24 r-17
n-24 r-16
n=24 r-15
n-24 r-14
n-24 r=l3
n=24 r-12
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000060
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
. 0000000 .
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
• 05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
• 07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000003
.0000024
.11
.12
.0000000
.0000000
.0000000
.0000001
.0000007
.0000059
.12
.13
.0000000
.OOOOOOO
.0000000
.0000002
.0000018
.0000137
.13
.14
.0000000
.0000000
.0000001
.0000005,
.0000043
.0000294
.14
• 15
.0000000
.0000000
.0000001
.0000013
.0000094
.0000593
.15
.16
.0000000
.0000000
.0000004
.0000028
.0000193
.0001133
.16
.17
.0000000
.0000001
.0000008
.0000059
.0000378
.0002062
.17
.18
.ooooooo
.0000002
.0000017
.0000118
.0000704
.0003595-
.18
.19
.0000000
.0000004
.0000034
.0000225-
.0001258
.0006033
.19
.20
.0000001
.0000009
.0000067
.0000412
.0002168
.0009780
.20
.21
.0000002
.0000018
.0000125-
.0000727
.0003611
.0015366
.21
.22
.0000005-
.0000035-
.0000226
.0001243
.0005833
.0023463
.22
.23
.0000009
.0000065-
.0000396
.0002062
.0009160
.0034903
.23
.24
.0000017
.0000116
.0000674
.0003327
.0014016
.0050688
.24
.25'
.0000031
.0000202
.0001117
.0005231
.0020940
.0071997
.25
.26
.0000055-
.0000343
.0001803
.0008032
.0030599
.0100181
.26
.27
.0000096
.0000569
.0002843
.0012066
.0043801
.0136756
.27
.28
.0000163
.0000921
.0004387
.0017755-
.0061505,
.0183381
.28
.29
.0000270
.0001458
.0006631
.0025629
.0084824
.0241827
.29
.30
.0000439
.0002264
.0009835-
.0036333
.0115023
.0313937
.30
.31
.0000699
.0003448
.0014325-
.0050640
.0153515,
.0401578
.31
.32
.0001093
.0005157
.0020513
.0069460
.0201838
.0506585-
.32
.33
.0001678
.0007585,
.0028907
.0093842
.0261635-
.0630694
.33
.34
.0002534
.0010978
.0040120
.0124976
.0334618
.0775483
.34
.35
.0003765,
.0015649
.0054885,
.0164185,
.0422531
.0942298
.35
• 36
.0005511
.0021987
.0074059
.0212916
.0527098
.1132190
.36
.37
.0007952
.0030469
.0098630
.0272716
.0649973
.1345861
.37
.38
.0011316
.0041671
.0129720
.0345207
.0792678
.1583603
.38
.39
.0015893
.0056279
.0168580
.0432053
.0956544
.1845264
.39
.40
.0022041
.0075098
.0216581
.0534917
.1142651
.2130218
.40
.41
.0030202
.0099055,
.0275200
.0655414
.1351771
.2437352
.41
.42
.0040907
.0129211
.0345998
.0795058
.1584315,
.2765068
.42
.43
.0054792
.0166751
.0430593
.0955208
.1840289
.3111307
.43
.44
.0072603
.0212986
.0530619
.1137009
.2119260
.3473577
.44
.45
.009521-2
.0269339
.0647690
.1341334
.2420335-
.3849012
.45
.46
.0123612
.0337330
.0783350,
.1568733
.2742152
.4234433
.46
.47
.0158933
.0418553
.0939020
.1819386
.3082889
.4626424
.47
.48
.0202428
.0514642
.1115943
.2093056
.3440288
.5021415,
.48
.49
.0255478
.0627239
.1315124
.2389067
.3811693
.5415776
.49
.50
.0319573
.0757948
.1537281
.2706281
.4194099
.5805901
.50
245
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V 8
p
n-24 rail
n-24 r=10
n=24 r= 9
n=?4 r- 8
n=24 r- 7
n-24 r- 6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000003
.OOOOO63
.02
.03
.O0OOOOO
.0000000
.0000000
.0000003
.0000048
.0000615,
.03
.04
.0000000
.0000000
.0000002
.0000027
.0000310
.0002954
.04
• 05
.0000000
.0000001
.0000013
.0000139
.0001270
.0009624
.05
.06
.ooooooo
.0000005,
.0000058
.0000517
.0003901
.0024518
.06
• 07
.0000002
.0000022
.0000200
.0001527
.0009828
.0052714
• 07
.08
.0000008
.0000074
.0000576
.0003826
.0021415-
.0100074
.08
• 09
.0000026
.0000208
.0001439
.0008440
.0041753
.0172741
.09
.10
.0000072
.0000521
.0003213
.0016841
.0074561
.0276583
.10
.11
.0000180
.0001175,
.0006544
.0030975-
.0123997
.0416687
.11
.12
.0000411
.0002439
.0012355-
.0053256
.0194406
.0596945,
.12
.13
.0000869
.0004717
.OO21885-
.0086513
.0290047
.0819758
.13
.14
.0001717
.0008584
.0036708
.OI33885,
.0414801
.1085879
.14
.15
.0005204
.0014826
.0058735-
.0198693
.0571915,
.1394386
.15
• 16
.0005685-
.0024463
.0090185-
.0284271
.0763777
.1742769
.16
.17
.0009651
.OO38766
.0133535
.0393792
.0991758
.2127112
.17
.18
.0015752
.0059269
.0191430
.0530092
.1256114
.2542338
.18
.19
.0024820
.OO8775O,
.0266605,
.0695504
.1555957
.2982497
.19
.20
.0037884
.0126211
.0361750-
.0891713
•.1889289
.3441076
.20
.21
.0056182
.0176826
.0479594
.III965O-
.2253099
.3911294
.21
.22
.0081159
.0241885-
.0621782
.1379418
.2643496
.4386390
.22
.23
.0114456
.0323714
.0790754
.1670262
.3055881
.4859863-
.23
.24
.0157882
.0424590
.0987642
.1990577
-.3485148
.5325683
.24
.25
.0213382
.0546649
.1213183
.2337958
.3925877
.5778448
.25
.26
.0282986
.0691787
.1467460
.2709284
•.4372541
.6213496
.26
.27
.0368746
.0861570
.1749870
.3100827
.4819691
.6626974
• 2 I
.28
.0472669
.1057149
.2059114
.3508386
.5262126
.7015866
.28
.29
.0596645,
.1279190
.2393228
.3927432
.5695035-
.7377982
.29
.30
.0742365-
.1527816
.2749630
.4353260
.6114109
.7711916
.30
• 31
.0911245-
.1802575-
.3125195
.4781133
.6515628
.8016992
.31
. 32
.1104356
.2102421
.5516547
.5206429
.689C512
.8293178
.32
. 33
.1322359
.2425728
.3919178
.5624765-
.725'I3 , I5,
.8541001
.33
.34
.1565450,
.2770315,
.4329553
.6032103
.7587374
.8761450,
.34
• 35
.1833326
.3135501
.4743241
.6424845-
.7894482
.8955886
.35
• 36
.2125162
.3512170
.5156031
.6799892
.8175149
.9125943
.36
*37
.2439605,
.3902857
.5563846
.7154692
,8429393
.92734-51
.37
.38
.2774793
.4301845,
.5962850-
.7487258
.8657702
.9400352
.38
.39
.3128387
.4705264
.6349530
.7796168
.8860963
.9508638
.39
.40
.5497619
.5109198
.6720777
.8080548
.•9040385,
.9600291
.40
.41
.3879562
.5509787
.7073936
.8340037
.9197426
.9677239
.41
.42
.'4270204
.5903328
.7406839
.8574745-
.9333720
.9741317
.42
.43
.‘4666541
.6286361
.7717830
.8785190
.9451012
.9794246
.43
.44
.5064662
.6655747
.8005759
.8972244
.9551102
.9837607
.44
.45
l. /•
.5460853
.7008735
.8269968
.9137067
.9635790
.9872838
.45
.46
.5851488
.7542995-
.8510261
.9281037
.9706837
.9901224
• 46
• 47
l« ft
.6233115,
.7656675
.8726865-
.9405697
.9765928
.9923902
.47
.48
.6602542
.7948382
.8920378
.9512688
.9814650-
.9941865,
.48
• 49
.6956904
.8217214
.9091715,
.9603700
.9854468
.9955970
.49
• 50
.7293719
.8462719
.9242052
.9680427
.9886721
.9966946
.50
246
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=24 r= 5
-=r
II
Jh
-3-
CJ
II
n=24 r= 3
n=24 r- 2
n=24 r= 1
n=25 r-24
p
.01
.0000036
.0000905,
.0017294
.0238544
.2143219
.0000000
.01
.02
.0000990
.0012340
.0118277
.0826130
.3842197
.0000000
.02
.03
.0006406
.0053210
.0341468
.1612422
.5185828
.0000000
.03
.04
.0022994
.0143230
.0692880
.2491735,
.6245868
.0000000
.04
.03
.0059745j
.0297825-
.1159446
.3391827
.7080110
.0000000
.05
.06
.0126522
.0526036
.1718236
.4265209
.7734999
.0000000
.06
.07
.0232641
.O83O255-
.2342585-
.5082455,
.8247771
.0000000
.07
.08
.0385734
.1207004
.3005978
.5827096
.8648214
.0000000
.08
• 09
.0590984
.1648210
.3684348
.6491751
.8960096
.0000000
.09
.10
.0850749
.2142622
.4357263
.7075230
.9202336
.0000000
.10
.11
.1164518
.2677176
.5008371
.7580393
.9389957
.0000000
.11
.12
.1529140
.3238165-
.5625373
.8012582
.9534860
.0000000
.12
.13
.1939228
.3812187
.6199695-
.8378505-
.9646441
.0000000
.13
.14
.2387667
.4386843
.6726015-
.8685451
.9732106
.0000000
.14
.15
.2866175,
.4951210
.7201724
.8940758
.9797673
.0000000
.15
.16
.3365835,
.5496109
.7626383
.9151466
.9847699
.0000000
.16
.17
.3877597
.6014217
.8001214
.9324108
.9885745,
.0000000
.17
.18
.4392695-
.6500046
.8328647
.9464596
.9914585,
.0000000
.18
.19
.4902992
.6949835,
.8611934
.9578178
.9936373
.0000000
.19
.20
.5401227
.7361378
.8854826
.9669434
.9952776
.0000000
.20
.21
.5881180
.7733810
.9061319
.9742314
.9965082
,0000000
.21
.22
.6337765-
.8067392
. 9235^52-
.9800176
.9974280
.0000000
.22
.23
'.6767048
.8363279
.9381165,
.9845852
.9981130
.0000000
.23
.24
.7166219
.8623310"
.9502190
.9881707
.9986211
.0000000
.24
.25
-.7533516
.8849816
.9601988
.9909695-
.9989966
.0000000
.25
.26
.7868119
’.9045448
.9683706
.9931422
.9992730
.0000000
.26
.27
'.8170035-
.9213029
.9750162
.9948196
.9994755-
.0000000
.27
.28
.8439956
.9355443
.9803844
.9961076
.9996233
.0000000
.28
.29
.8679135-
.9475530
.9846920
.9970910
.9997307
.0000000
.29
.30
.8889248-
.9576025-
.9881259
.9978379
.9998084
.0000000
.30
.31
;907228o
19659497
.9908455-
.9984018
.9998644
.0000000
.31
.32
.9230414-
19728321
.9929854
.9988253
.9999045-
.0000000
.32
• 33
.9365938
I9784656
.9946584
.9991416
.9999330
.0000000
.33
.34
19481163
.9830435,
.9959578
.9993763
.9999533
.0000000
.34
.35
.9578364
.9867371
.9969605-
.9995495,
.9999676
,0000000
.35
• 36
.9659723
.9896958
,9977292'
.9996766
.9999777
.0000000
.36
.37
.9727297
.9920488
,9983145,
.9997693
.9999847
.0000000
.37
.38
.•9782991
.9939063
,9987573
,9998365-
.9999896
.0000000
.38
.39
.9828542
.9953632
,9990900
.9998848
.9999930
.0000000
.39
.4o
.9865509
.9964966
.9993582
.9999194
.9999953
.0000000
.40
.41
.9895279
.9973720
.9995221
.9999440
.9999968
.0000000
.41
.42
.9919067
.9980433
.9996574
.9999614
.9999979
.0000000
.42
.43
.‘9937926
.9985540
.9997562
.9999736
.9999986
.0000000
.43
.44
.9952758
.9989397
.9998279
.9999820
.9999991
.0000000
.44
.45
.9964330
.9992286
.9998794
.9999879
.9999994
.0000001
.45
.46
,9973285-
.9994433
.9999162
.9999919
.9999996
.0000001
.46
.47
.9980157
.9996016
.9999422
.9999946
.9999998
.0000002
.47
.48
.9985386
.9997173
.9999605,
.9999965-
.9999998
.0000003
.48
.49
.9989331
.9998012
.9999755
.9999977
.9999999
.0000005-
.49
• 50
.9992281
.9998614
.9999821
.9999985,
.9999999
.0000008
.50
832939 0 - 50 - 17
247
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-s
p
n =25 r =23
n=25 r =-22
n=25 r =21
n=25 r =20
n =25 r -19
n=25 r=l 8
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
. 0000000 -
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
•.0000000
.19
.20
.0000000
.0000000
.0000000
.Ooooooo
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.22
• 23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000002
.0000020
• 26
.27
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000036
•27
.28
.0000000
. 0000000 '
.0000000
.0000001
.0000009
.0000063
.28
.29
.0000000
.0000000
.0000000
.0000002
.0000016
.0000108
.29
.30
.0000000
.0000000
.0000000
.0000003
.0000028
.0000181
.30
• 31
.0000000
.0000000
.0000001
.0000006
.0000048
.0000298
.31
• 32
.0000000
.0000000
.0000001
.0000011
.0000080
.0000480
.32
• 33
.0000000
.0000000
.0000002
.0000019
.0000133
.0000760
.33
.34
.0000000
.0000000
.0000004
.0000032
.0000216
.0001182
.34
• 35
.0000000
.0000001
.0000007
.0000054
.000034*!
.0001808
.35
.36
.0000000
.0000001
.0000011
.0000088
.0000540
.0002720
.36
• 37
.0000000
.0000002
.0000019
.0000141
.0000833
.0004031
.37
.38
.0000000
.0000003
.0000031
.0000223
.0001267
.0005887
.38
• 3'9
.0000000
.0000006
.0000051
.0000348
.0001899
.0008480
.39
.40
.0000001
.0000010
.0000082
.0000536
.0002807
.0012054
.40
.41
.0000001
.0000016
.0000129
.0000813
.0004096
.0016918
.41
.42
.0000002
. 0000025 ,
.0000201
.0001218
.0005901
.002345*!
.42
.43
.0000004
.0000041
.0000309
.0001802
.0008399
.0032136
.43
.44
.0000006
.‘0000064
.0000469
.0002633
.0011816
.0043536
.44
.45
.0000010
.0000100
.0000704
.0003804
.0016435,
.0058338
.45
.46
.0000016
.0000154
. 0001045 -
.0005435-
.0022613
.0077349
.46
• 47
h n
.0000026
.0000235,
.0001533
.0007680
.0030787
.oici 511
.47
.48
.0000041
.0000355-
.0002226
.0010741
.0041490
.0131904
.48
• 49
.0000065
.0000530
.0003200
.0014871
.0055362
.0169754
.49
• 50
.0000097
.0000783
.0004553
.0020387
.0073166
.0216426
.50
248
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V ’ 8
p
n-25 r =17
n = 25 r*l6
n-25 r-15
n= 25 r=l4
n=25 r =15
11=25 I* =12
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.•ooooooo
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.•ooooooo
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooo
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.•0000001
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005-
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000002
.•0000015-
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000041
.11
.12
.0000000
.0000000
.0000000
.0000002
.0000014
.0000102
.12
.13
.0000000
.0000000
.0000000
.0000004
.0000054
.0000252
.13
.14
.0000000
.0000000
.0000001
.0000011
.0000078
.0000495
.14
.15
.0000000
.0000000
.0000005
.0000025-
.0000169
.0000985-
.15
.16
.0000000
.0000001
.0000007
.0000055-
.0000544
.0001861
.16
.17
.0000000
.0000002
.0000017
.0000115
.0000664
.0005352
.17
.18
.0000001
.0000005-
.0000055-
.0000225
.0001224
.0005783
.18
.19
-.0000001
.0000010
.0000070
.0000421
.0002166
.0009602
.19
.20
.0000005
.0000021
.0000156
.0000765
.0005690
.0015401
.20
.21
.0000006
.0000041
.0000251
.0001555
.0006080
.0023937
.21
.22
.0000011
.0000077
.0000450-
.0002255
.0009712
.0036156
.22
.23
.0000022
.0000141
.0000779
.0005695-
.0015081
.•0053200
.23
.24
.0000041
.0000250-
.0001511
.0005892
.0022818
.0076414
.24
.25
.0000074
.0000451
.0002145,
.0009158
.0055704
.0107343
.25
• 26
.0000150
.0000725
:0005422
.0015900
.0048691
.0147710
• 26
.27
.0000225
.0001185
.0005555
.0020654
.0068899
.0199393
•27
.28
.0000575-
.0001891
.0008150
.0050005-
.0095650
.•0264382
*28
.29
.0000615-
.0002959
.0012141
.0042795,
.0150555-
.0344724
.29
.30
.0000986
.0004555.
.0017784
.0059940
.0174697
.0442465-
.30
. 3i
.0001551
.0006820
.0025582
.0082551
.0250415-
.0559575-
.31
• 32
.0002595
.0010071
.0056176
.0111821
.0299557
.0697871
.32
• 33
.0005627
.0014621
.0050555,
.0149215
.0585424
.0858944
.33
.34
.0005405-
.0020886
.0068971
.0196254
.0484512
.•1044072
.34
• 35
.0007925-
.0029582
.0095140
.0254606
.0604449
.•1254158
.35
• 36
.0011445
.0040755
.0124047
.0526022
.0744952
.•1489660
.36
.37
.0016285
.0055688
.0165042
.0412501
.0907452
.1750546
.37
.38
.0022851
.0075150
.0211605-
.0515246
.1095229
.2036255,
.38
.39
.0051645
.0100076
.0271554
.0656604
.1505145-
.2345682
.39
.40
.0045254
.0151691
.0545915,
.0778011
.1537678
.2677178
.40
.4l
.0058452
.0171275-
.0451088
.0940920
.1796859
.3028576
.41
.42
.0077995-
.0220262
.0554604
.1126546
.2080252
.•3397226
.42
.43
.0102954
.0280205
.0656177
.1355795
.2586827
<•3780057
.43
.44
.0154572
.0552744
.0797450
.1569199
.2715160
.4173654
.44
.45
.0175569
.0459597
.0959850
.1826884
.5065240
. 4.574341
.45
.46
*0221925
.0542500-
-.1144627
.2108506
.5428601
.4978278
.46
.47
.0280954
.0665175
.1552792
.2415252
.5808551
.5381569
.47
.48
.0552291
.0805266
.1584957
.2759728
.4199229
.5780356
.48
.49
. 04-57641
.0964505
.1841556
.5086154
.4597695
.6170928
.49
• 50
.0558761
.1147615-
.2121781
.5450190
.■5000000
.6549810
.50
249
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V s
p
n=25 r =11
n=25 r=10
n=25 r= 9
n=25 pa 8
n=25 r- 7
n=25 r= 6
P
.01
.0000000
.0000000
.0000000
.0000000
,0000000
.0000001
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000004
.0000082
.02
.03
,0000000
.0000000
.0000000
.0000004
.0000065,
.0000789
.03
.04
.0000000
.0000000
.0000003
.0000038
.0000416
.0003756
.04
.03
.0000000
.0000002
.0000019
.0000196
.0001688
.0012130
• 05
.06
.0000001
.0000009
.0000085,
.0000720
.0005138
.0030639
.06
.07
.0000003
.0000035-
.0000293
.0002108
.0012830
.0065309
• 07
.08
.0000013
.0000114
.OOOO836
.0005233
.0027707
.0122927
.08
.09
.0000042
.0000319
.0002069
.0011439
.0053542
.0210383
• 09
.10
.0000117
.0000790
.0004575,
.0022613
.0094764
.0333999
.10
.11
.0000290
.0001766
.0009231
.0041207
.0156193
.0498943
.11
.12
.0000655-
.0003629
.0017263
.0070194
.0242711
.0708809
.12
.13
.0001369
.0006949
.0030286
.0112972
.0358909
.0965289
.13
.14
.0002678
,0012522
.0050313
.0173214
.0508752
.1268129
.14
.15
.0004947
.0021413
.0079729
.0254676
.0695286
.1515154
.15
• 16
.0008689
.0034978
.0121239
.0350992
.0920416
.2002460
.16
.17
.0014601
.0054877
.0177777
.0495446
.1184769
.2424695-
• 17
.18
.0023585,
.0083058
.0252389
.0660776
.1487634
.2875402
.‘18
.19
.0036777
.0121733
.0348G96
.0858990
.1826999
.3347391
.19
.20
,0055549
.0173319
.0467742
.1091228
.2199647
.3833106
.20
.21
.0081517
.0240365,
.0613848
.1357674
.2601320
.4324970
.21
.22
.0116519
.0325462
.0788462
.1657515,
.3026932
.4815692
.22
.23
.0162585-.
.04-31133
.0993041
.1988955-
.3470797
.5298516
.23
.24
.0221892
.0559723
.1228346
.2349274
.3926876
.5767412
.24
.25
.0296899
.0713283
.1494377
.2734938
.4389019
.6217215-
.25
.26
.0389274
.0893462
.1790335-
.3141731
.4851189
.6643698
• 26
.27
.0501808
.1101411
.2114628
.3564920
.5307657
.7043601
•27
.28
.0636323
-1337699
.2464910
.3999433
.5753173
.7414612
.28
.29
.0794583
.1602261
.2838148
.4440037
.6183089
.7755316
.29
.30
.0978000
.1894360
.3270719
.4881515-
.6593451
.8065116
.30
.31
.1187557
.2212587
.3638535-
.5318827
.6981051
.8344131
.31
.32
,1423737
.2554877
.4057173
.5747256
.7343445,
.8593093
.32
• 33
.1686471
.2918566
.4482021
.6162526
.7678942
.8813230
.33
.34
.1975104
.3300456
.4908420
.6560895,
.7986560
.9006153
.34
• 35
.2288388
,3696910
.5331803
.6939218
.8265973
.9173753
.35
• 36
.2624485-
.4103960
.5747821
.7294985-
.8517435-
.9318104
.36
.37
.2981008
.4517423
.6152459
.7626331
.8741694
.9441374
.37
.38
.5555075
,4933027
.6542125-
.7932027
.8939909
.9545755-
.38
.39
.5745569
,5346528
.6913719
.8211438
.9113556
.9633400
.39
.40
.4142250,
,5753830
.7264685,
.8464483
.9264347
.9706378
.40
.41
.4547836
,6151088
.75930-37
.8691567
.9394149
.9766635,
.41
• 42
.4956II6
,6534803
.7897359
.8893514
.9504911
.9815972
.42
.43
.5565065
.6901893
.8176795-
.9071493
.9598603
.9856028
.43
.44
.5764759
.7249752
.8431012
.9226942
.9677164
.9888274
.44
.45
,6157599
.7576288
.8*660162
.9361492
.9742462
.9914009
.45
.46
.6537581
.7879937
.8864818
.9476905,
.9796255-
.9934372
.46
.47
.6902187
.8119663
.9045916
.9575006
.9840176
.9950342
.47
.48
.7248545,
.8414940
.9204687
.9657629
.9875713
.9962755,
.48
• 49
.7574456
.8645720
.9342588
.9726577
.9904204
.9972317
.49
• 50
.7878219
.8852385,
.9461239
.9783574
.9926834
.9979613
.50
250
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-8
p
I nc25 r* 5
.. -"■■■
n=25 r- 4
n=25 r- 3
n=25 r= 2
n=25 r- 1
n=26 r-25
p
.01
*0000045-
.0001069
.0019507
.0257591
.2221786
.0000000
.01
.02
.0001217
.0014459
.0132434
.0886451
.3965353
.0000000
.02
.03
.0007810
.0061858
.0379596
.1719624
.5330253
.0000000
.03
.04
.0027803
.0165216
.0764834
.2641900
.6396033
.0000000
.04
.05
.0071649
.0340906
.1271065-
.3576241
.7226104
.0000000
.05
.06
.0150493
.0597568
.1871054
.4473396
.7870899
.0000000
.06
.07
.0274474
.0936118
.2534376
.5304027
.8370427
.0000000
.07
.08
.0451'05,
.1350922
.3231668
.6052786
.8756357
.0000000
.08
• 09
.0686135-
.1631462
.3937015-
.6713902
.9953687
.0000000
.09
.10
.0979936
.2364086
.4629060
.7287941
.9282102
.0000000
.10
.11
.1330910
.2933607
.5291294
.7779445-
.9457062
.0000000
.11
.12
.1734223
.3524630
.5911838
.8195255-
.9590676
.0000000
.12
.13
.2182712
.4122563
.6482940
.8543336
.9692404
.0000000
.13
.14
.2667552
.4714327
.7000336
.8831983
.9769611
.0000000
.14
.15
.5178930
. 5288787
.7462579
.9069295-
.9828022
.0000000
.15
.16
.3706679
. 5836953
.7870396
.9262863
.9872067
.0000000
.16
.17
.4240822
.6352006
.8226106
.9419586
.9905169
.0000000
.17
.18
.4772018
.6829194
.8533118
.9.545594
.9*929960
.0000000
.18
,19
.5291892
.7285634
.8795520
.9646235-
.9948462
.0000000
.19
.20
.5793257
.7660067
.9017748
.9726103
.9962221
.0000000
.20
.21
.6270232
.8012587
.9204328
.9789095“
.9972415-
.0000000
.21
.22
.6718283
.8324365,
.9359691
.9838479
.9979938
.0000000
.22
.23
.7134181
.8597393
.9488043
.9876966
.9985470
.0000000
.23
.24
.7515921
.8834241
.9593274
.9906788
.9989521
.0000000
.24
.25
.7862591
.9037859
.9678915-
.9929763
.9992475-
.0000000
.25
• 26
.8174225-
.9211395-
.9748112
.9947362
.9994620
.0000000
.26
.27
.8451643
.9358055,
.9803632
.9960767
.9996171
.0000000
.27
.28
.8696292
.9480995,
.9847869
.9970920
.9997288
.0000000
r Q
• C.O
.29
.8910089
.9583233
.9882877
.9978565,
.9998088
.0000000
.29
.30
.9095281
.9667595-
.9910395-
.9984290
.9998659
.0000000
.30
.31
.9254317
.9736674
.9931880
.9988552
.9999064
.0000000
.31
.32
.9389744
.9792812
.9948542
.9991707
.9999350,
.0000000
.32
. 33
.9504115-
.9838092
.9961378
.9994027
.9999551
.0000000
.33
.34
.9599916
.9874344
.9971201
.9995725-
.9999692
.0000000
.34
.35
.9679516
.9903153
.9978667
.9996959
.9999790
.0000000
.35
• 36
.9745127
.9925878
.9984303
.9997850,
.9999857
.0000000
.36
.37
.9798778
.9943671
.9988528
.9998490
•9999904
.0000000
.37
.38
.9842300
.9957500-
.9991674
.9998947
.9999935,
.0000000
.38
.39
.9877327
.9968167
.9994000
.9999270
.9999957
.0000000
.39
.4o
.9905292
.9976332
.9995707
.9999498
.9999972
.0000000
.40
.41
.9927440
.9982536
.9996951
.9999657
.9999981
.0000000
.41
.42
.9944841
.9987212
.9997851
.9999767
.9999988
.0000000
.42
.43
.9958400
.9990710
.9998497
•9999843
.9999992
.0000000
.43
.44
.9968879
.9993305-
.9998957
.9999895,
.9999995-
.0000000
.44
.45
.9976910
.9995215-
. 999928.2
.9999931
.9999997
.0000000
.45
.46
.9983013
.9996508
.9999510
.9999954
.9999998
.0000001
.46
.47
.9987611
.9997617
.9999669
.9999970
.9999999
.0000001
.48
.9991044
.9998341
.9999778
.9999981
.9999999
.0000002
.48
.49
.9995585-
.9998855-
.9999852
.9999988
1.0000000
.0000002
.49
.50
.9995447
.9999217
.9999903
.9999992
1.0000000
.0000004
• 50
251
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V ‘ 8
p
n-26 r=24
n=26 r ~2>
n=26 r=22
n=26 r=2l
n=26 r=20
n=26 r=19
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
• 05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.-0000001
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000004
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
• 26
.27
.0000000
.0000000
.0000000
.0000000
.0000002
.0000013
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000003
.0000024
• 28
.29
.0000000
.0000000
.0000000
.0000001
.0000006
.0000042
.29
.30
.0000000
.0000000
.0000000
.0000001
.0000011
.0000074
.30
.31
.0000000
.0000000
.0000000
.0000002
.0000019
.0000125,
.31
.32
.0000000
.0000000
.0000000
.0000004
.0000033
.0000208
.32
.33
.0000000
.0000000
.0000001
.0000008
.0000057
.0000340
.33
.34
.0000000
.0000000
.0000002
.0000013
.0000095-
.0000544
.34
.35
.0000000
.0000000
.0000003
.0000023
.0000155,
.0000856
.35
• 36
.0000000
.0000000
.0000005-
.0000039
.0000250,
.0001325-
.36
.37
.0000000
.0000001
.0000008
.0000064
.0000397
.0002016
.37
.38
.0000000
.0000001
.0000014
.0000104
.0000620
.0003023
.38
.39
.0000000
.0000003
.0000023
.0000167
.0000955
.0004466
.39
.40
.0000000
.0000004
.0000038
.0000263
.0001444
.0006506
.40
.41
.0000001
.0000007
.0000062
.0000409
.0002159
.0009353
.41
.42
.0000001
.0000012
.0000099
.0000628
.0003185,
.0013274
.42
.43
.0000002
.0000020
.0000156
.0000951
.0004639
.0018606
.43
.44
.0000003
.0000032
.0000242
.0001421
.0006674
.0025773
.44
.45
.0000005'
.0000051
.0000372
.0002099
.0009488
.0035291
.45
.46
.0000008
.0000080
.0000564
.0003064
.0013357
.0047792
.46
.47
.0000013
.0000124
.0000845,
.0004422
.0018540
.0064027
.47
.48
.0000021
.0000192
.0001253
.0006313
.0025500,
.0084889
.48
.49
.0000034
.0000292
.0001838
.0008918
.0034712
.0111414
.49
• 50
.0000052
.0000440
.0002668
.0012470
.0046777
.0144796
.50
■■■ ■" ■■ -1
252
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-26 r=l8
n=26 r=17
n=26 r*l6
n-26 r=l5
n=26 r=l4
n=2b r=13
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
*0000000
.0000000
.0000000
.03
.04
.0000000
*0000000
*0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
..0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
..0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000006
.0000000
.0000000
.08
.09
.0000000
.0000000
.,0000000
.0000000
.0000000
.0000001
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.00O0003
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000003
.0000024
.12
.13
.0000000
,0000000
.0000000
.0000001
.0000008
.0000060
.13
.14
.0000000
,0000000
.0000000
.0000003
.0000020
.0000136
.14
.15
.0000000
.0000000
.0000001
.0000006
.0Q00047
.0000291
.15
• 16
.0000000
,0000000
.0000002
.0000015,
.0000101
.0000586
.16
.17
.0000000
.0000001
.0000005-
.0000033
.0000207
.0001121
.17
.18
.0000000
.0000001
,0000010
.0000069
.0000403
.0002045-
.18
.19
.0000000
,0000005
,0000022
.0000137
.0000753
.0003578
•19
.20
.0000001
.0000006
,0000044
.0000261
.0001348
.0006032
.26
.21
,0000002
.0000015
,0000085-
.0000479
.0002330
.0009830
.21
.22
.0000004
.0000026
.0000159
.0000847
.0003894
.0015529
.22
.23
.0000007
.0000049
.0000288
.0001450-
.0006313
.0023848
.23
.24
.0000014
.0000091
.0000505-
.0002410
.0009954
.0035681
.24
.25
.0000026
.0000165
.0000859
.0003898
.0015295-
.0052114
.25
.26
.0000048
.0000284
.0001425-
.0006147
.0022945,
.0074436
.26
.27
.0000086
.0000482
.0002505
.0009464
.0033666
.0104133
.27
.28
.0000150,
.0000799
.0005658
.001-4255-
.0048380
.0142881
.28
.29
.0000255-
.0001294
..0005621
.0021030
.0068187
.0192522
-29
.30
.0000425
.0002051
.0008510
.0030431
.0094367
.0255028
.30
.31
.0000686
.0005184
.0012656
.0043237
.0128375,
.0332454
.31
.32
•0001095
.0004850,
..0018425-
.0060382
.0171832
. 0'426882
.32
• 33
.0001706
.0007255,
..0026407
.0082965,
.0.226503
.0540346
.33
.34
.000261-8
.0010668
.0057255,
..0112247
.0294262
.0674762
.34
.35
.0005949
.0015455-
..0051697
..0149653
.0.377051
.0831847
.35
.36
.0005860
.0021987
..0070726
..0196758
.0476829
.1013034
.36
.37
.0008564
.0050865
.0095409
.0255268
.0595507
.1219397
.37
.38
.0012554
..0042717
..0126990
.0326988
.0734880
.1451579
.38
.39
.0017514
.0058552
.0166867
.0413790
.0896555,
.1709734
.39
.40
.0024558
.0078655-
.0216581
.0517553
.1081877
.1993478
.40
.41
.0055959
.0104697
.0277798
.0640119
.1291855,
.2301863
.41
•42
.0046561
.0157747
.0552285,
.0783219
.1527094
.2633369
.42
.43
.0062579
.0179160
.0441872
.0948412
.1787738
.2985916
.43
.44
.0085504
.0250456
.0548406
.1137009
.2Q73422
.3356897
.44
.45
.0110192
.0295282
.0675702
.1350004
.2383244
.3743235,
.45
.46
.0145855
.0569588
.0819478
.1588011
.2715750-
.4141453
.46
.47
.0185849
.0460597
.0987294
.1851199
.3068938
.4547763
.47
.48
.0257690
.0568759
.1178478
.2139247
.3440288
.4958170
.48
• 49
.0501019
.0695705,
.1394059
.2451307
.3826808
.5368578
.49
• 50
.0577595
.0845188
.1634698
.2785985,
.4225095
.5774905,
.50
253
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V 8
p
n=26 r=12
n=26 r =11
n=26 r=10
n-26 r= 9
n=26 r= 8
n=26 r- 7
P
.01
.0000000
.0000060
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000006
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000006
.0000087
.03
.04
.0000000
.0000000
.0000000
.0000004
.0000053
.0000550^
.04
.03
.0000000
.0000000
.0000002
.0000028
.0000270
.0002210
.05
.06
.0000000
.0000001
.0000013
.0000123
.0000985-
.0006668
.06
.07
.0000001
.0000006
.0000055
.0000420
.0002859
.0016503
.07
.08
.0000002
.0000021
.0000171
.0001188
.0007031
.0035325-
.08
.09
.0000008
.0000067
.0000477
.0002913
.0015228
.OO67658
.09
.10
.0000025,
.0000184
.0001168
.0006379
.0029828
.0118687
.10
.11
.0000068
.0Q0O452
.0002587
.6012748
.0053856
.0193896
.11
.12
.0000168
.0001012
.0005265,
.6023615-
.0090896
.0298643
.12
.13
.0000380
.0002094
.0009983
.6041036
.0144944
.0437739
.13
.14
.0000799
.0004056
.0017812
.0067519
.0220189
.0615065-
.14
.15
.0001579
.0007417
.0030160
.6105971
.0320768
.0833266
.15
.16
.0002954
.0012896
.0048780
.0159599
.0450500-
.1093543
.16
.17
.0005264
.0021448
.0075770
.0231781
.0612631
.1395556
.17
.18
.0008988
.0034290
.0113537
.0325899
.0809611
.1737433
.18
.19
.0014765,
.0052918
•0164742
.6445166
.1042912
.2115874
.19
.20
.0023430
.0079103
.0232203
.6592440
.1312912
.2526339
.20
.21
.0036629
.0114875,
.0318797
.0770051
.1618840
.2963287
.21
.22
.0053836
.0162486
.0427322
.0979654
.1958787
.3420460
.22
.23
.0078358
.0224351
.0560372
.1222101
.2329778
.3891172
.23
.24
.0111329
.0302971
.0720192
.1497369
.2727899
.4368605-
.24
.25
.0154682
.0400845-
.0908556
.1804517
.3148458
.4846068
.25
.26
.0210517
.0520363
.1126649
.2141697
.3586190
.5317241
• 26
.27
.0281045,
.0663701
.1374979
.2506207
.4035459
.5776362
.27
.28
.0368525,
.0832709
.1653318
.2894577
.4490480
.6218376
.28
.29
.0475183
.1028810
.1960668
.3302696
.4945522
.6639035-
•29
.30
.0603126
.1252908
.2295268
.3725957
.5395095,
.7034950,
.30
.31
.0754249
.1505316
.2654630
.4159425,
.5834116
.7403606
.31
.32
.0930148
.1785702
.3035612
.4598000
.6258037
.7743333
.32
• 33
.1132028
.2093062
.3434507
.5036588
.6662943
.8053257
.33
.34
.1360623
.2.425724
.3847164
.5470262
.7045621
.8333221
.34
.35
.1616138
.2781370
.4269123
. 5894398
.7403582
.8583696
.35
•36
.1898197
.3157096
.4695750-
.6304800
.7735067
.8805676
.36
.37
.2205817
.3549482
.5122387
.6697792
.8039016
.9000576
.37
.38
.2537406
.3954696
.5544484
.7070288
.8315022
.9170130
.38
.39
.2890780
.4368601
.5957732
.7419829
.8563264
.9316295,
.39
.40
.3263207
.4786882
.6358172
.7744604
.8784429
.9441160
.40
.41
.3651473
.5205169
.6742287
.8043434
.8979625,
.9546868
.41
.42
.4051960
.5619165-
.7107076
.8315744
.9150301
.9635557
.42
.43
.4460750-
.6024760
.7450101
.8561515,
.9298150,
.9709296
.43
.44
. ‘’1873732
.6418145,
.7769507
.8781221
.9425040
.9770052
.44
.45
.5286717
.6795899
.8064032
.8975761
.9532929
.9019658
.45
.46
.5695558
.7155065-
.8332982
.9146378
.9623806
.9859789
.46
.47
.6096259
.7493201
.8576202
.9294588
.9699636
.9891954
.48
.6485087
.7808415-
.8794018
.9422099
.9762310
.9917493
.48
• 49
.6858657
.8099375,
.8987185,
.9530742
.9813614
.9937579
.49
• 50
.7214015-
.8365302
.9156812
.9622407
.9855204
.9953223
.50
254
BINOMIAL DISTRIBUTION
Table E - Partial Sums
n
Z
s-r
V 8
p
n=26 r= 6
n=26 r = 5
n=26 r= 4
n=26 r= 3
n-26 r- 2
n=26 r- 1
p
.01
.0000002
.0000055,
.0001254
.0021888
.0277233
.2299569
.01
.02
.0000104
.0001482
.0016818
.0147515-
.0948029
.4o86o46
.02
.03
.0001000
.0009431
.0071390
.0419797
.1827943
.5470345,
.03
.04
.0004718
.0033300
.0189200
.0839917
.2792066
.6540192
.04
.03
.0015106
.0085112
.0387414
.1386324
,3758735-
.7364799
.05
.06
.0037830
.0177317
.0673977
.2027195-
.4677247
.7998645-
.06
.07
.0079950,
.0320789
.1047996
.2728251
.5518675,
.8484497
• 07
.08
.0149208
.0523394
.1501382
•3457357
.6269071
.8855849
.08
.09
.0253201
.0789214
.2020962
.4186934
.6924483
.9138855,
.09
.10
.0398593
.1118351
.2590584
.4894948
.7487357
.9353892
.10
.11
.0590464
.1507207
.3192953
.5564990
.7963983
.9516785,
.11
.12
.0831858
.1949072
.3811095-
.6185848
.8362706
.9639795,
.12
.13
.1123554
.2434893
.4429412
.6750792
.8692715,
.9732391
.13
.14
.1464048
.2954101
.5034368
.7256766
.8963251
.9801866
.14
.15
.1849720
.3495409
.5614856
.7703587
.9183104
.9853819
.15
.16
.2275135-
.4047523
.6162304
.8093191
.9360336
.9892536
.16
.17
.2733436
.4599723
.6670603
.8428997
.9502135-
.9921290
.17
.18
.3216793
.5142310
.7135900
.8715363
.9614780
.9942567
.18
.19
.3716846
.5666903
.7556312
.8957156
.9703658
.9958254
.19
.20
.4225136
.6166619
.7931603
.9159419
.9773326
.9969777
.20
.21
.4733475,
.6636127
.8262853
.9327129
.9827592
.9978208
.21
.22
.5234262
.7071621
.8552137
.9465025-
.9869600
.9984352
.22
.23
.5720719
.7470720
.8802242
.9577495,
.9901922
.9988812
.23
.24
.6187054
.7832318
.9016409
.9668517
.9926644
.9992036
.24
.25
.6628559
.8156408
.9198123
.9741627
.9945441
.9994356
.25
.26
.7041635-
.8443889
.9350941
.9799917
.9959649
.9996019
• 26
.27
.7423772
.8696374
.9478361
.9846058
.9970326
.9997205-
•27
.28
.7773482
.8916009
.9583720
.9882323
.9978303
.9998047
.28
.29
.8090200
.9105301
.9670130
.9910627
i9984227
.9998643
-29
.30
.8374165,
.9266975,
.9740435-
,9932563
.9988601
.9999061
.30
.31
.8626289
.9403848
.9797187
.9949448
.9991811
.9999354
.31
• 32
.8848022
.9518726
.9842645,
,9962555-
.9994153
,9999558
.32
. 33
.9041222
.9614327
.9878777
.9972153
.9995850,
.3999699
.33
.34
.9208032
.9693221
.9907275,
,9979539
.9997074
.9999797
.34
.35
.9350770
.9757789
.9929583
.9985069
.9997950-
.9999863
.35
• 36
.9471832
.9810198
.9946911
.9989180
.9998573
.9999909
.36
• 37
.9573613
.9852389
.9960268
.9992214
.9999013
.9999939
.37
.38
.9658442
.9886076
.9970486
.9994438
.9999322
.9999960
.38
.3-9
.9728532
.9912754
.9978242
.9996055,
.9999538
.9999974
.39
.40
.9785943
.9933708
.9984082
.9997223
.9999687
.9999983
.4o
.41
.9832565,
.9950029
.9988446
.9998060
.9999790
.9999989
.41
.42
.9870097
.9962637
.9991681
.9998656
.9999860
,9999993
.42
.43
.9900048
.9972293
.9994058
.9999076
.9999907
.9999996
.43
.44
.9923740
.9979626
..9995792
.9999370
.9999939
.9999997
.44
.45
.9942315-
.9985147
.9997045,
.9999574
.9999960
.9999998
.45
.46
.9956747
.9989267
.9997943
.9999715-
.9999974
.9999999
.46
.47
.9967858
.9992314
.9 98581
.99QQ810
.9999984
.9999999
.47
.48
.9976334
.9994546
.9999030
.9999875,
.9999990
1.0000000
.48
• 49
.9982738
.9996167
.9999344
.9999919
.9999994
1.0000000
.49
• 50
.9987530
.9997332
.9999560
.9999948
.9999996
1.0000000
.50
255
BINOMIAL DISTRIBUTION
Table E - Partial Sums
n
2
s-r
V s
p
n=27 r =26
n=27 r =25
n=27 r =2 4
n=27 r =23
n-27 r =22
n =27 r=21
p
.01
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.01
.02
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.02
.03
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.03
.04
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.04
.05
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.05
.06
.0000000
.ooo'oooo
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.06
.07
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.07
.08
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.08
.09
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.09
.10
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.10
.11
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.11
.12
.0000000
.ooOoooo
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.12
.13
.0000000
.OO0OOOO
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.13
.14
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.14
.15
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.15
.16
.0000000
.0000000
.0000000
.ooOoooo
.OOOOOOO
.OOOOOOO
.16
.17
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.17
.18
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.18
.19
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.19
.20
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.20
.21
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.21
.22
.0000000
.oo'ooooo
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.22
.23
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.23
.24
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.24
.25
.0000000
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.25
.26
.0000000
.0000000
.0000000
. 0 O 00000
.OOOOOOO
.OOOOOOO
.26
.27
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.0000001
.27
.28
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.0000001
.28
.29
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.0000002
.29
.30
.0000000
.0000000
.0000000
.OOOOOOO
.OOOOOOO
.0000004
.30
.31
.0000000
.0000000
.0000000
.OOOOOOO
.0000001
.0000008
.31
.32
.0000000
.0000000
.0000000
.OOOOOOO
.0000002
.0000014
.32
• 33
.0000000
.0000000
.0000000
.OOOOOOO
.0000003
.0000024
.33
.34
.0000000
.0000000
.0000000
.0000001
.0000006
.0000041
.34
•35
.0000000
.0000000
.0000000
.0000001
.0000010
.0000069
.35
• 36
.0000000
.0000000
.0000000
.0000002
.0000017
.0000115"
.36
.37
.0000000
.0000000
.0000000
.0000004
.0000029
.0000187
.37
.38
.0000000
.0*000000
.0000001
.0000006
.0000048
.0000300
.38
• 3-9
.0000000
.0000000
.0000001
. Q000011
.0000079
.0000474
.39
.40
.0000000
.0000000
.0000002
.0000018
.0000128
.0000756
.40
.41
.0000000
.0000000
.0000003
.0000030
. 0000205 -
.0001127
.41
.42
.0000000
.0000000
.0000006
.0000049
.0000321
.0001702
.42
.43
.0000000
.0000001
.0000009
.0000078
.0000498
.0002537
.43
.44
.0000000
.0000001
.0000016
.0000124
.0000761
.0003752
.44
.45
.0000000
.0000002
.0000026
.00001'95,
.0001149
.0005424
.45
.46
.0000000
.0000004
.0000041
.0000303
.0001714
.0007790
.46
• 47
.0000000
.0000007
. 0000065 ,
.0000463
.0002527
.0011058
.47
.48
.0000001
.0000011
.0000103
.0000701
.0003682
.0015525
.48
.49
.0000001
.0000018
.0000160
.0001049
.0005307
.0021557
.49
• 50
.0000002
.0000028
.0000246
.0001554
.0007569
.0029623
.50
256
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
8q n-s
p
n -27 r= 2 o
n =27 r =19
n =27 r=18
n=27 r-17
n-27 r-16
n-27 r=l5
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.13
.14
.0000000
.0000000
.0000000
. 0*000000
.0000001
.0000005,
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000002
.0000012
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000004
.0000029
.16
.17
.0000000
.0000000
.0000000
.0000001
.0000009
.0000063
.17
.18
.0000000
.0000000
.0000000
.0000003
.0000021
.0000129
.18
.19
.0000000
.0000000
.0000001
.0000006
.0000043
.0000254
.19
.20
.0000000
.0000000
.0000002
.0000014
.0000087
.0000479
.20
.21
.0000000
.0000000
.0000004
.0000028
.0000168
.0000867
.21
.22
.0000000
.0000001
.0000008
.0000055-
.0000310
.0001517
.22
.23
.0000000
.0000002
.0000017
.0000104
.0000555,
.0002569
.23
.24
.0000001
.0000005-
.0000032
.0000190
.0000962
.0004221
.24
.25
.0000001
.0000009
.0000061
.0000337
.0001619
.0006748
.25
.26
.0000002
.0000018
.0000110
.0000581
.0002652
.0010514
.26
.27
.0000005-
.0000033
.0000193
.0000974
.0004237
.0015999
•27
.28
.0000009
.0000059
.0000332
.0001594
.0006611
.0023810
.28
.29
.0000016
.0000104
.0000556
.0002549
. 001009 Q
.0034706
.29
.30
.0000030
.0000178
.0000911
.0003989
.0015086
.0049612
.30
.31
.0000052
.0000299
.0001461
.0006114
.0022122
.0069630
.31
.32
.0000089
.0000491
.0002295-
.0009194
.0031851
.0096046
.32
. 33
.0000150,
.0000791
.0003558
.0013575,
.0045071
.0130333
.33
.34
.0000247
.0001249
.0005555,
.0019701
.0062739
.0174132
.34
.35
.0000401
.0001939
.0007969
.0028126
.0085982
.0229242
.35
.36
.0000637
.0002957
.0011666
.0039535
.0116098
.0297584
.36
.37
.0000996
.0004439
.0016815-
.0054745,
.0154557
.0381156
.37
.38
.0001535
.0006561
.0023879
.0074741
.0202990
.0481987
.38
. 3-9
.0002323
.0009554
.0033433
.0100661
.0263167
.0602068
.39
.40
.0003469
.0013719
.0046177
.0155815
.0336970
.0745287
.40
.41
.0005109
.0019433
.0062950-
.0175669
.0426350-
.0907331
.41
.42
.0007422
.0027170
.0084743
.0227855
.0533278
.1095647
.42
.43
. 0010645 -
.0037515-
.0112709
.0292126
.0659684
.1309322
.43
.44
.0015077
.0051174
.0148163
.0370554
.0807391
.1549030
.44
.43
.0021100
.0068996
.0192582
.0464471
.0978038
.1814962
.45
.46
.0029186
.0091980
.0247599
.0576429
.1173003
.2106771
.46
.47
.0039919
.0121284
.0314981
.0708144
.1393329
.2423536
.47
.48
.0054007
.0158233
.0396603
.0861424
.1639647
.2763747
.48
.49
.0072296
.0204320
.0494415,
.1037899
.1912110
.3125302
.49
.50
.0095786
.0261195-
.0610391
.1238943
.2210342
.3505540
.50
257
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
n-s
q
p
n=27 t =14
ri-27 r-13
n=27 r-12
n-27 r=ll
n=27 r=10
n=27 r= 9
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000006
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000004
.0000040
.05
.06
.0000000
.0000000
.0000000
.0000002
.0000020
.0000175-
.06
.07
.0000000
.0000000
.0000001
.0000009
*0000078
.0000591
.07
.08
.0000000
.0000000
.0000004
.0000033
.0000253
.0001655,
.08
.09
.0000000
.0000002
.0000013
.0000104
.0000696
.0004021
.09
.10
.0000001
.0000005,
.0000041
.0000283
.0001689
.0008724
.10
.11
.0000002
.0000015,
.0000110
.0000687
.0003705**
.0017270
.11
.12
.0000006
.0000041
.0000269
.0001522
.0007467
.0031689
.12
.13
.0000015-
.0000101
.0000603
.0003120
.0014019
.0054544
.13
.14
.0000036
.0000229
.0001255,
.0005982
.0024771
.0088893
.14
.15
.0000083
.0000484
.0002455-
.0010828
.0041532
.0138190
.15
.16
.0000179
.0000965,
.0004544
.0018637
.0066511
.0206143
.16
.17
.0000362
.0001825,
.0008015,
.0030682
.0102291
.0296525,
.17
.18
.0000699
.0003294
.0013542
.0048555-
.0151762
•0412967
.18
.19
.0001289
.0005704
.0022014
.0074165-
.0218022
.0558737
.19
.20
.0002285,
.0009512
.0034565-
.0109723
.0304251
.0736534
.20
.21
.0003905-
.0015332
.0052587
.0157699
.0413560
.0948297
.21
.22
.0006454
.0023957
.0077739
.0220750,
.0548835,
.1195063
.22
.23
.0010346
.0036386
.0111937
.0301636
.0712570
.1476867
.23
.24
.0016129
.0053836
.0157323
.0403104
.0906715-
.1792696
.24
.25
•.0024500-
.0077756
.0216223
.0527773
.1132546
.2140502
.25
. 26
.0036333
.0109817
.0291077
.0677997
.1390562
.2517265,
• 26
.27
.0052692
.0151899
.0384362
.0855746
.1680411
.2919105,
• 2 z
.28
.0074840
.0206061
.0498497
.1062479
.2000871
.3341430
.28
.29
.0104244
.0274493
.0635735-
.1299049
.2349856
.3779115,
.29
.30
0142565,
.0359457
.0798060
.1565616
.2724475-
.4226699
.30
. 3l
.0191640
.0463211
.0987080
.1861604
.3121117
.4678579
.31
• 32
.0253448
.0587927
.1203926
.2185673
.3535576
.5129211
.32
*33
.0330071
.0735601
.1449169
.2535739
.3963193
.5573285,
.33
.34
.0423632
.0907955-
.1722757
.2909014
.4399017
.6005884
.34
.35
.0536230
.1106349
.2023969
.3302084
.4837969
.6422612
.35
.36
.0669863
.1331693
.2351401
.3711011
.5275008
.6819696
.36
*37
.0826346
.1584372
.2702973
.4131457
.5705287
.7194045-
.37
.38
.1007226
.1864193
.3075976
.4558815,
.6124289
.7543287
.38
.39
.1213695-
.2170342
.3467130
.4988362
.6527950,
•7865769
.39
.40
.1446518
.2501370
.3872677
.5415398
.6912745-
.8160534
.40
.41
.1705958
.2855203
.4288488
.5835388
.7275758
.8427273
.41
.42
.1991729
.3229177
.4710186
.6244088
.7614717
.8666258
.42
.43
.2302954
.3620094
.5133274
.6637656
.7928009
.8878268
.43
.44
.2638151
.4024304
.5553274
.7012744
.8214661
.9064501
.44
.45
l, /•
.2995240
.4437802
.5965849
.7366559
.8474310
.9226486
.45
.46
.3371573
.4856341
.6366931
.7696907
.8707144
.9365995-
• 46
• 47
.3763986
.5275556
.6752822
.8002211
.8913843
.9484960
.47
.48
.4168872
.5691690
.7120284
.8281505-
.9095497
.9585400
.48
• 49
.4582276
.6098717
.7466609
.8534402
.9253528
.9669349
.49
• 50
.5000000
.6494460
.7789658
.8761057
.9389609
.9738805,
• 50
258
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V s
p
n*27 r= 8
n=27 r= 7
n=27 r= 6
n=27 r- 5
n-27 r- 4
n=27 r- 3
P
.01
.0000000
.0000000
.0000002
.0000067
.0001460
.0024441
.01
.02
.0000000
.0000008
.0000132
.0001788
.0019432
.0163525-
.02
.03
.0000009
.0000114
.0001253
.0011290
.0081842
.0462042
.03
.04
.0000073
.0000716
.0005861
.0039536
.0215229
.0918003
.04
.03
.0000367
.0002854
. 0018606
.0100227
.0437359
.1504944
.05
.06
.0001326
.OOO8537
.0046199
.0207117
..0755170
.2186198
.06
.07
.0003814
.0020945-
.0096809
.0371693
.1165614
..2923581
.07
.08
.0009295-
.0044436
.0179143
.0601633
.1657860
.3682294
.08
.09
.0019947
.0084356
.0301442
.0900071
.2215900
.4433314
.09
.10
.0038714
.0146678
.0470569
.1265574
.2821020
.5154189
.10
.11
.0069260
.0237518
.0691306
.1692639
.3453877
.5828880
.11
.12
.0115826
.0362629
.0965924
.2172515-
.4096065-
.6447071
.12
.13
.0183007
.0526895-
.1294028
.2694180
.4731191
.7003242
.13
.14
.0275472
.0733923
.1672656
.3245338
.5345504
.7495674
.14
• 15
.0397642
.0985734
.2096574
.3813326
.5928166
.7925514
.15
.16
.0553387
.1282598
.2558717
.4385888'
.6471246
.8295934
.16
.17
.0745728
.1622996
.3050705,
.4951773
.6969530
.8611431
.17
• 18
.0976619
.2003718
.3563386
.5501156
.7420204
.8877258
.18
.19
.1246774
.2420059
.4087357
.6025891
.7822473
.9098991
.19
.20
.1555597
.2866098
^4613433
.6519616
.8177167
.9282200
.20
.21
.1901174
.3335026
.5133032
.6977739
.8486351
.9432226
.21
.22
.2280355-
.3819496
.563 o 4 o 1
.7397334
.8752972
.9554031
.22
.23
.2688899
.4311968
.6123219
.7776970
.8980550,
.9652113
.23
.24
.3121668
.4805033
.6581917
.8116500-
.9172915,
.9730468
.24
.25
.3572861
.5291691
.7010521
.8416837
.9333999
.9792580
.25
• 26
.4036263
.5765584
.7406221
.8679723
.9467675,
.9841447
• 26
.27
.4505503
.6221163
.7767375-
.8907511
.9577639
.9879611
.27
.28
.4974291
.6653806
.8093390
.9102968
.9667329
.9909197
.28
.29
.5436641
.7059873
.8384579
.9269101
.9739874
.9931971
.29
.30
.5887052
.7436715-
.8642008
.9409013
.9798073
.9949375-
.30
.31
.6320658
.7782638
.8867332
.9525783
.9844388
.9962581
.31
.32
.6733331
.8096833
.9062647
.9622580
.9880952
.9972530
.32
• 33
.7121747
.8379285,
.9230347
.9701595,
.9909591
.9979973
.33
.34
.7483405,
.8630657
.9372996
.9766000
.9931845,
.9985501
.34
.35
.7816622
.8852172
.9493227
.9817917
.9949003
.9989577
.35
.36
.8120486
.9045492
.9593644
.9859414
.9962128
.9992561
.36
.37
.8394793
.9212600
.9676760
.9892304
.9972088
.9994730
.37
.38
.8639963
.9355689
.9744943
.9918152
.9979588
.9996294
.38
.39
.8856946
.9477067
.9800378
.9938294
.9985189
.9997413
.39
.4o
.9047121
.9579073
.9845049
.9953858
.9989339
.9998209
.40
.41
.9212195,
.9664004
.9880725,
.9965780
.9992388
.9998770
.41
.42
.9354108
.9734064
.9908964
.9974835,
.9994610
.9999162
.42
.43
.9474943
.9791319
.9931113
.9981652
.9996216
.9999433
.43
.44
1 .9576845,
.9837675-
.9948330
.9986739
.9997366
.9999620
.44
.45
.9661957
.9874854
.9961589
.9990501
.9998183
.9999748
•?§
.46
.9732358
.9904389
.9971706
.9993258
.9998758
.9999834
.46
.47
.9790025,
.9927629
.9979352
.9995259
.9999159
.9999892
.47
.48
.9836798
.9945737
.9985076
.9996699
.9999436
.9999930
.48
• 49
.9874357
.9959707
.9989318
.9997724
.9999625,
.9999955,
.49
• 50
.9904214
.9970377
.9992431
.9998446
.9999754
.9999972
.50
259
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-a
p
n=27 r= 2
n=27 r= 1
n=28 r=27
n=28 r-26
n=28 r-25
n=28 r-2 4
p
.01
.0297456
.2376573
.0000000
.0000000
.0000000
.0000000
.01
.02
.1010789
.4204325-
.0000000
.0000000
.0000000
.0000000
.02
.03
.1957215**
.5606235-
.0000000
.0000003
.0000000
.0000000
.03
.04
.2941991
.6678584
.0000000
.0000000
.0000000
.0000000
.04
.05
.3939058
.7496559
.0000000
.0000000
.0000000
.0000000
.03
.06
.4876530
.8118726
.0000000
.0000000
.0000000
.0000000
.06
.07
.5726283
.8590583
.0000000
.0000000
.0000000
.0000000
.07
.08
.6476014
.8947381
.0000000
.0000000
.0000000
.0000000
.08
.09
.7123776
.9216358
.0000000
.0000000
.0000000
.0000000
.09
.10
.7674011
.9418503
.0000000
.0000000
.0000000
.0000000
.10
.11
.8134791
.9569939
.0000000
.0000000
.0000000
.0000000
.11
.12
.8515956
.9683020
.0000000
.0000000
.O'OOOOOO
.0000000
.12
.13
.8827873
.9767180
.0000000
.0000000
.0000000
.0000000
.13
.14
.9080657
.9829604
.0000000
.0000000
.O'OOOOOO
.0000000
.14
.15
.92837II
.9875746
.0000000
.0000000
.0000000
.0000000
.15
.16
.9445488
.9909731
.0000000
.0000000
.O'OOOOOO
.0000000
.16
.17
•9573391
.9934671
.0000000
.0000000
.0000000
.0000000
.17
.18
.9673782
.9952905,
.0000000
.0000000
.0000000
.0000000
.18
.19
.9752031
.9966186
.0000000
.0000000
.0000000
.0000000
.19
.20
.9812616
.9975821
.0000000
.0000000
.0000000
.0000000
.20
.21
.9859221
.9982784
.0000000
.0000000
.0000000
.0000000
.21
.22
.9894845,
.9987795-
.0000000
.0000000
.0000000
.0000000
.22
.23
.9921907
.9991385,
.0000000
.0000000
.0000000
.0000000
.23
.24
.9942338
.9993947
.0000000
.0000000
.0000000
.0000000
.24
.25
.9957669
.9995767
.0000000
.0000000
.0000000
.0000000
.25
.26
.9969105,
.9997054
.0000000
.0000000
.0000000
.0000000
• 26
.27
.9977583
.9997960
.0000000
.0000000
.0000000
.0000000
.27
.28
.9983831
.9998594
.0000000
.0000000
.0000000
.0000000
.28
.29
.9988408
.9999036
.0000000
.0000000
.0000000
.0000000
.29
.30
.9991739
.9999343
.0000000
.0000000
.0000000
.0000000
.30
.31
.9994149
.9999554
.0000000
.0000000
.0000000
.0000000
.31
• 32
.9995882
.9999700
.0000000
.0000000
.0000000
.0000000
.32
. 33
.9997121
.9999799
.0000000
.0000000
.0000000
.0000000
.33
.34
.9998000
.9999866
.0000000
.0000000
.0000000
.0000000
.34
.35
.9998619
.9999911
.0000000
.0000000
.0000000
.0000000
.35
• 36
.9999054
.9999942
.0000000
.0000000
.0000000
.0000001
.36
.37
.9999356
.9999962
.0000000
.0000000
.0000000
.0000002
.37
.38
.9999565-
.9999975,
.0000000
.0000000
.0000000
.0000003
.38
.39
.9999708
.9999984
.0000000
.0000000
.0000000
.0000005-
.39
.40
.9999806
.9999990
.0000000
.0000000
.0000001
.0000008
.40
.4l
.9999872
.9999993
.0000000
.0000000
.0000002
.0000014
.41
.42
.9999916
.9999996
.0000000
.0000000
.0000003
.0000024
.42
.43
.9999945,
.9999997
.0000000
.0000000
.0000005-
.0000039
.43
.44
.9999965-
.9999998
.0000000
.0000001
.0000008
.0000064
.44
.45
.9999977
.9999999
.0000000
.0000001
.0000013
.0000102
.45
.46
.9999986
.9999999
.0000000
.0000002
.0000021
.0000161
.46
• 47
.9999991
1.0000000
.0000000
.0000003
.0000034
.0000252
.47
.48
•9999994
1.0000000
.0000000
.00000c0
.0000055,
.0000390
.48
• 49
.9999997
1.0000000
.0000001
.0000009
.0000087
.0000596
.49
• 50
.9999998
1.0000000
.0000001
.0000015,
.0000137
.0000900
.50
260
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-a
p
I n=28 r =23
n=28 r=22
n=28 r=21
£=28 r =20
a=28 r=19
ti=28 r=l8
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
,0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.13
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
,0000000
.0000000
.0000001
.18
.19
.0000000
.0000000
.0000000
,0000000
.0000000
.0000002
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000003
.0000019
.22
.23
.0000000
.0000000
.0000000
.0000001
.0000006
.0000037
.23
.24
.0000000
.0000000
.0000000
.0000002
.0000011
.0000070
.24
.25
.0000000
.0000000
.0000000
.0000003
.0000022
.0000130
.25
• 26
.0000000
.0000000
.0000001
.0000006
.0000042
.0000232
• 26
.27
.0000000
.0000000
.0000002
.0000012
.0000076
.0000404
.27
.28
.0000000
.0000000
.0000003
.0000023
.0000136
.0000685,
r Q
• c , O
.29
.0000000
.0000001
.0000006
.0000042
.0000235,
.0001134
.29
.30
.0000000
.0000002
.0000012
.0000074
.0000398
.0001834
.30
.31
.0000000
.0000003
.0000021
.0000129
.0000659
.0002903
.31
.32
.0000001
.0000005,
.0000038
.0000218
.0001068
.0004503
.32
.33
.0000001
.0000010
.0000065,
.0000362
.0001697
.0006850,
.33
.34
.0000002
.0000018
.0000111
.0000588
.0002645,
.0010233
.34
.35
.0000004
.0000031
.0000185,
.0000939
.0004049
.0015024
.35
.36
.0000007
.0000052
.0000303
.0001472
.0006092
.0021698
.36
.37
.0000013
.0000088
.0000487
.0002270
.0009018
.0030849
.37
.38
.0000022
.0000144
.0000769
..0003443
.0013142
.0043207
.38
.39
.0000037
.0000233
.0001195-
..0005143
.0018867
.0059652
.39
.40
.0000062
.0000371
.0001829
.0007569
.0026702
.,0081231
.40
.41
.0000101
.0000583
.0002759
.0010982
.0037275-
.0109164
.41
•f!
.0000163
.0000901
.0004104
..0015716
.0051351
.0144849
.42
.43
.0000259
.0001374
.0006023
.0022199
.0069848
.0189858
.43
.44
.0000465-
.0002068
.0008724
.0030960
.0093849
.0245927
.44
.45
.0000625-
.0003073
.0012478
.0042653
.0124610
.0314932
.45
.46
.0000952
.0004509
.0017632
.0058071
.0163565-
.0398861
.46
.47
.0001433
.0006536
.0024623
.0078160
.0212321
.0499768
.47
.48
.0002132
.0009366
.0033995,
.0104036
.0272651
.0619717
.48
.49
.0003136
.0013270
.0046419
.0136988
.0346467
.0760722
.49
• 50
.0004561
.0018596
.0062705-
.0178491
.0435793
.0924667
.50
261
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-28 r-17
n-28 r-16
n=28 r=15
n=28 r=l4
n=28 r =13
n=28 r=12
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000003
.0000022
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000009
.0000065,
.10
.11
.0000000
.0000000
.0000000
.0000003
.0000026
.0000174
.11
.12
.0000000
.0000000
.0000001
.0000010
.0000069
.0000420
.12
.13
.0000000
.0000000
.0000004
.0000026
.0000166
.0000930
.13
.14
.0000000
.0000001
.0000009
.0000063
.0000373
.0001917
.14
.15
.0000000
.0000003
.0000023
.0000143
.0000780
.0003711
.15
.16
.0000001
.0000008
.0000053
.0000304
.0001538
.0006799
.16
.17
.0000003
.0000018
.0000114
.0000611
.0002877
.0011869
•17
.18
.0000006
.0000040
.0000232
.0001166
.0005139
.0019844
.18
.19
.0000013
.0000083
.0000451
.0002128
.0008803
.0031923
.19
.20
.0000028
.0000165,
.0000840
.0003731
.0014523
.0049596
.20
.21
.0000057
.0000315-
.0001505,
.0006304
.0023155,
.0074660
.21
.22
.0000111
.0000576
.0002603
.0010304
.0035789
.0109201
.22
.23
.0000208
.0001018
.0004357
.0016335,
.0053762
.0155568
.23
.24
.0000375,
.0001744
.0007079
.0025178
.0078673
.0216311
.24
.25
.0000658
.0002901
.0011186
.0037814
.0112373
.0294110
.25
• 26
.0001119
.0004696
.0017227
.0055439
.0156944
.0391676
• 26
.27
.0001855,
.0007413
.0025906
.0079478
.0214664
.0511636
•27
.28
.0002999
.0011426
.0038098
.0111582
.0287943
.0656412
.28
• 29
.0004736
.0017229
.0054872
.0153617
.0379253
.0828096
.29
.30
.0007318
.0025444
.0077498
.0207633
.0491038
.1028327
.30
• 3l
.0011077
.0036850-
.0107453
.0275827
.0625610
.1258182
.31
• 32
.0016444
.0052394
.0146415-
.0360481
.0785047
.1518085-
.32
• 33
.0023969
.0073207
.0196246
.0463896
.0971078
.1807737
.33
.34
.0034334
.0100613
.0258962
.0588302
.'1184988
.2126084
.34
• 35
.0048376
.0136123
.0336688
.0735771
.1427516
.2471309
.35
.36
.0067096
.0181433
.0431604
.0908122
.1698787
.2840860
.36
• 37
.0091675,
.0238398
.0545876
.1106816
.1998255-
.323151*2
.37
.38
.0123475,
.0309009
.0681578
.1332873
.2324671
.3639455-
.38
• 39
.0164038
.0395538
.0840603
.1586787
.2676089
.4060411
.39
.40
.0215076
.0499495-
.1024577
.1868458
.3049893
.4489766
.40
.4l
.0278448
.0623552
.1234768
.2177149
.3442850-
.4922717
.41
.42
.0356131
.0769473
.1472002
.2511457
.3851201
.5354425-
.42
.43
.0450176
.0939029
.1736584
.2869325-
.4270762
.5780159
.43
.44
.0562650,
.1133713
.2028244
.3248059
.4697051
.6195441
.44
.45
.0695576
.1354654
.2346087
.3644393
.5125423
.6596168
.45
.46
.0850853
.1602536
.2688580
.4054566
.5551212
.6978720
.46
.47
l, o
.1030181
.1877527
.3053548
.4474424
.5969871
.7340035-
.47
.48
.1234971
.2179215-
.3438207
.4899537
.6377103
.7677670
.48
.49
.1466262
.2506575-
.3839219
.5325332
.6768984
.7989828
.49
*50
.1724642
.2857941
.4252770
.5747230
.7142059
.8275358
.50
262
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-a
p
n=28 r =11
n»28 r=10
n-28 r= 9
n-28 r= 8
n=28 r= 7
n=28 r= 6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.01
.02
.0000000
.0000000
.0000000
.0000001
.0000010
.OOOOI65,
.02
.03
.0000000
.0000000
.0000001
.0000012
.0000148
.0001554
.03
.04
.0000000
.0000001
.0000009
.0000099
.0000922
.0007208
.04
.03
.0000000
.0000006
.0000056
.0000492
.0003642
.0022687
.05
.06
.0000003
.0000029
.0000244
.0001758
.0010797
.0055854
.06
.07
.0000014
.0000114
.0000816
.0005013
.0026255,
.0116051
• 07
.08
.0000051
.0000365-
.0002266
.0012106
.0055212
.0212942
.08
.09
.0000157
.0000995,
.0005454
.0025743
.0103894
.0355319
.09
.10
.0000423
.0002393
.0011723
.0049510
.0179067
.0550069
.10
.11
.0001019
.0005197
.0022989
.OO87769
.0287435,
.0801453
.11
.12
.0002236
.0010374
.0041785,
.0145442
.0435024
.1110715-
.12
.13
.0004537
.0019288
.0071244
.0227713
.0626622
.1476048
.13
.14
.0008613
.0033748
.0115014
.0339655-
.0865345,
.1892831
.14
.15
.0015434
.0056030
.0177108
.0485856
.1152360
.2354087
.15
.16
.0026297
.0088852
.0261702
.0670060
.1486777
.2851064
.16
.17
.0042856
.0135311
.0372890
.0894864
.1865706
.3373887
.17
.18
.0067132
.0198779
.0514424
.1161497
.2284458
.3912185-
.18
.19
.0101498
.0282758
.0689465-
.1469698
.2736845,
.4455679
.19
.20
.0148629
.0390707
.0900347
.1817697
.3215565-
.4994669
.20
.21
.0211430
.0525855-
.1148401
.2202283
.3712608
.5520421
.21
.22
.0292929
.0691005,
.1433827
.2618966
.4219673
.6625429
.22
.23
.0396151
.0888358
.1755634
.3062205-
.4728556
.6503582
.23
.24
.0523971
.1119550,
.2111649
.3525676
.5231485,
.6950217
.24
.25
0678966
.1384535,
.2498592
.4002568
.5721398
.7362100
.25
.26
.0863264
.1683505-
.2912205-
.4485886
.6192149
.7737331
.26
.27
.1078406
.2014858
.3347432
.4968731
.6638640
.8075211
•27
.28
.1325229
.2376227
.3798631
.5444555,
.7056889
.8376072
.28
.29
.1603783
.2764341
.4259798
.5907378
.7444038
.8641091
.29
.30
.1913274
.3175142
.4724805-
.6351951
.7798303
.8872110
.30
.31
.2252053
.3603930
.5187624
.6773872
.8II8893
.9071452
.31
.32
.2617642
.4045539
.5642530
.7169652
.8405894
.9241762
.32
• 33
.3006799
.4494524
.6084278
.7536734
.8660135,
.9385859
.33
.34
.3415615-
.4945352
.6508241
.7873471
.8883052
.9506618
.34
.35
.3839644
.5392594
.6910516
.8179064
.9076541
.9606868
.35
•36
.4274050,
.5831096
.7287980
.8453488
.9242827
.9689321
.36
.37
.4713774
.6256127
.7638322
.8697381
.9384339
.9756511
.37
.38
.5153695,
.6663508
.7960024
.8911939
.9503605,
.9810762
.38
• 39
.5588802
.7049699
.8252328
.9098793
.9603159
.9854166
.39
.40
.6014337
.7411861
.8515169
.9259902
.9685464
.9888573
.4o
.41
.6425939
.7747879
.8749091
.9397437
.9752860
.9915598
.41
.42
.6819752
.8056364
.8955155,
.9513689
.9807522
.9936630
.42
.43
.7192508
.8336620
.913^838
.9610985-
.9851431
.9952845,
.43
.44
.7541588
.8588591
.9289933
.9691610
.9886363
.9965230
.44
.45
.7865047
.8812789
.9422448
.9757760
.9913885-
.9974600
.45
.46
.8161616
.9010216
.9534522
.9811492
.9935355,
.9981620
.46
.47
.8430678
.9182268
.9628341
.9854699
.9951939
.9986829
.47
.48
.8672221-
.9330651
.0706071
.9889088
.9964619
.9990655-
.48
.49
.8886774
.9457281
.9769803
.9916178
.9974216
.9993437
.49
• 50
.9075333
.9564207
.9821509
.9937295,
.9981404
.9995439
.50
832939 0 - 50 - 18
263
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q a-s
p
n=28 r= 5
n=28 r = 4
n=28 r= 3
n-28 r= 2
n-28 r= 1
n=29 r=28
p
.01
.0000081
.0001690
.0027171
.0318248
.2452807
.0000000
.01
.02
.0002141
.0022314
.0180470
.1074660
.4320238
.0000000
.02
.03
.0013407
.0093248
.0506297
.2047285,
.5738048
.0000000
.03
.04
.0046563
.0243340
.0998962
.3091454
.6811441
.0000000
.04
.05
.0117084
.0490739
.1626649
.4116914
.7621731
.0000000
.05
.06
.0240000
.0841032
.2347618
.5071062
.8231602
.0000000
.06
.07
.0427268
.1288672
.3119770
.5926784
.8689242
.0000000
.07
.08
.0686131
.1819815-
.3905792
.6673723
.9031590
.0000000
.08
.09
.1018496
.2415467
.4675455,
.7312109
.9286886
.0000000
.09
.10
.1421119
.3054337
.5406171
.7848460
.9476652
.0000000
.10
.11
.1886375.
.3715127
.6082530
.8292657
.9617246
.0000000
.11
.12
.2403341
.4378186
.6695337
.8656004
.9721057
.0000000
.12
.13
.2958992
.5026558
.7240444
.8949983
.9797447
.0000000
.13
.14
.3539361
.5646528
.7717572
.9185509
.9853460
.0000000
.14
.15
.4130552
.6227768
.8129244
.9372516
.9894384
.0000000
.15
.16
.4719545.
.6763196
.8479863
.9519767
.9924174
.0000000
.16
.17
.5294792
.7248653
.8774964
.9634809
.9945777
.0000000
.17
.18
.5846585-
.7682474
.9020633
.9724024
.9961382
.0000000
.18
.19
.6367242
.8065011
.9223069
.9792721
.9972611
.0000000
.19
.20
.6851126
.8398173
.9388284
.9845257
.9980657
.0000000
.20
.21
.7294548
.8684985-
.9521895,
.9885169
.9986399
.0000000
.21
.22
.7695575-
.8929205,
.0629010
.9915294
.9990480
.0000000
.22
.23
.8053793
.9135010
.9714166
.9937887
.9993367
.0000000
.23
.24
.8370039
.9306728
.9781317
.9954724
.9995400
.0000000
.24
.25
.8646127
.9448644
.9833853
.9967194
.9996825,
.0000000
.25
.26
.8884590
.9564856
.9874638
.9976372
.9997820
.0000000
• 26
.27
.9088445,
.9659171
.9906063
.9983085,
.9998511
.0000000
.27
.28
.9260989
.9735052
.9930095-
.9987965-
.9998988
.0000000
.28
.29
.9405625,
.9795582
.9948337
.9991490
.9999316
.0000000
.29
.30
.9525731
.9843464
.9962084
.9994020
.9999540
.0000000
.30
.31
.9624551
.9881028
.9972367
.9995825-
.9999693
.0000000
.31
• 32
.9705123
.9910257
.9980003
.9997104
.9999796
.0000000
.32
.33
.9770234
.9932817
.9985632
.9998004
.9999865,
.0000000
.33
.34
.9822387
.9950088
.9989750,
.9998634
.9999911
.0000000
.34
• 35
.9863797
.9963204
.9992742
.9999072
.9999942
.0000000
.35
• 36
.9896391
.9973084
.99911.898
.9999373
.9999963
.0000000
.36
*37
.9921824
.9980466
.0996441
.9999580
.9999976
.0000000
.37
.38
.9941497
.9985936
.9997537
.9999721
.9999985-
.0000000
.38
• 39
.9956583
.9989956
.9998308
.9999816
.9999990
.0000000
.39
.40
.9968050,
.9992887
.0998848
.9999879
.9999994
.0000000
.40
.41
.9976689
.9995004
.0999221
.9999922
.9999996
.0000000
.41
.42
.9983141
.9996522
.9999478
.9999949
.9999998
.0000000
.42
.43
.9987914
.9997599
.9999654
.9999968
.9999999
.0000000
.43
.44
.9991415,
.9998358
.9999772
.9999980
.9999999
.0000000
.44
.45
h r
.9993958
.9998887
.9999851
.9999987
.9999999
.0000000
.45
.46
.9995788
.9999253
.9999904
.9999992
1.0000000
.0000000
.46
• 47
1. n
.9997092
.9999503
.9999938
.9999995,
1.0000000
.0000000
.47
.48
.9998013
.9999673
.9999961
.9999997
1.0000000
.0000000
.48
• 49
.9998656
.9999787
.9999976
.9999998
1.0000000
.0000000
.49
• 50
.9999100
.9999863
.9999985-
.9999999
1.0000000
.0000001
.50
— irsi
264
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=29 r=27
n=29 r=26
n=29 r=25
n=29 r=24
n=29 r =23
n-29 r-22
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
. QOOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
! .0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
•23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
• 2 Z
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005-
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000002
.0000016
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000004
.0000028
.33
.34
.0000000
.0000000
.0000000
.0000001
.0000008
.0000049
.34
.35
.0000000
.0000000
.0000000
.0000002
.0000013
.0000085-
.35
.36
.0000000
.0000000
.0000000
.0000003
.0000024
.0000142
.36
.37
.0000000
.0000000
.0000001
.0000006
.0000041
.0000235,
.37
.38
.0000000
.0000000
.0000001
.0000010
.0000069
.0000381
.38
.39
.0000000
.0000000
.0000002
.0000018
.0000114
.0000608
.39
.40
.QOOOOOO
.0000000
.0000004
.0000030
.0000186
.0000954
.40
.41
.0000000
.0000001
.0000007
.0000050-
.0000299
.0001475,
.41
.42
.0000000
.0000001
.0000011
.0000082
.0000473
.0002247
.42
.43
.0000000
.0000002
.0000019
.0000133
.0000738
.0003373
.43
.44
.0000000
.0000004
.0000032
.0000214
.0001137
.0004997
.44
*45
.0000001
.0000006
.0000053
.0000337
.0001726
.0007305,
.45
.46
.0000001
.0000011
.0000086
.0000525-
.0002588
.0010545,
.46
.47
.0000002
.0000018
.0000137
.0000807
.0003832
.0015037
.47
.48
.0000005
.0000029
.0000216
.0001226
.0005604
.0021188
.48
.49
.0000005-
.0000048
.0000337
.0001840
.0008101
.0029513
.49
.50
.0000008
.0000076
.0000519
.0002731
.0011578
.0040650,
.50
265
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-29 r-21
n=29 r-20
n=29 r-19
n=29 r=l8
n=29 r=17
n=29 r=l6
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000060
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0.000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.00000 00
.6000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000002
.0000015,
.16
.17
.0000000
.0000000
.0000000
.0000001
.0000005,
.0000035-
.17
.18
.0000000
.0000000
.0000000
'.0000002
.0000012
.0000075-
.18
.19
.0000000
.0000000
.0000001
.0000004
.0000027
.0000153
.19
.20
.0000000
.0000000
.0000001
.0000009
.0000056
.0000300
.20
.21
.0000000
.0000000
.0000003
.0000019
.0000111
.0000565-
.21
.22
.0000000
.0000001
.0000006
.0000039
.0000213
.0001022
.22
.23
.0000000
.0000002
.0000013
.0000076
.0000394
.0001786
.23
.24
.0000001
.0000004
.0000025,
.0000143
.0000704
.0003024
.24
.25
.0000001
.0000008
.0000049
.0000262
.0001218
.0004972
.25
.26
.0000002
.0000016
.0000091
.0000463
.0002049
.0007954
.26
.27
.0000005-
.0000030
.0000165-
.0000796
.0003356
.0012406
•27
.28
.0000009
.0000055-
.0000289
.0001333
.0005359
.0018895-
.28
.29
.0000017
.0000098
.0000496
.0002179
.0008359
.0028145,
.29
.30
.0000031
.0000171
.0000829
.0003479
.0012756
.0041060
.30
.31
.0000055-
.0000293
.0001355-
.0005437
.0019066
.0058737
.31
.32
.0000095,
.0000490
.0002167
.0008324
.0027948
.0082480
.32
• 33
.0000163
.0000802
.0003398
.0012499
.0040218
.0113810
.33
.34
.0000273
.0001288
.0005225,
.0018427
.0056869
.0154452
.34
.35
.0000449
.0002027
.0007890
.0026697
.0079087
.0206321
.35
• 36
.0000724
.0003136
.0011710
.0038041
.0108257
.0271494
.36
.37
.0001146
.0004767
.0017096
.0053355-
.0145963
.0352165,
.37
.38
.0001785,
.0007129
.0024566
.0073709
.0193978
.0450585-
.38
.39
.0002735-
.0010496
.0034773
.0100363
.0254245,
.0568991
.39
.40
.0004125,
.0015222
.0048514
.0134769
.0328843
.0709528
.40
.4l
.0006130
.0021762
.0066750-
.0178571
.0419941
.0874151
.41
.42
.0008981
.0030683
.0090620
.0233588
.0529735-
.1064535-
.42
.43
.0012979
.0042688
.0121453
.0301795-
.0660383
.1281977*
.43
.44
.0018308
.0058631
.0160763
.0385285,
.0813918
.1527306
.44
.45
.0026057
.0079534
.0210255-
.0486222
.0992161
.1800799
.45
.46
.0036234
.0106598
.0271801
.0606778
.1196628
.2102116
.46
.47
.0049785,
.0141216
.0347421
.0749062
.1428434
.2430256
.47
.48
.0067615-
.0184971
.0439243
.0915039
.1688208
.2783531
.48
.49
.0090798
.0239633
.0549452
.1106437
.1976015,
.3159570
.49
.50
.0120598
.0307142
.0680230
.1324654
.2291292
.3555356
.50
266
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-8
p
n=29 r =15
n-29 r-14
n-29 r=13
n=29 r =12
n=29 r=ll
n=29 r =10
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
. 0-000000
.0000000
.0000000
.03
.04
.0000000
.O'OQOOOO
.0000000
.0000000
.0000000
.0000001
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.05
.06
.0000000
.0000000
.0000000
.Q000000
.0000005-
.0000042
.06
.07
.0000000
.0000000
.0000000
.0000002
.0000021
.0000163
.07
.08
.0000000
.0000000
.0000001
.0000010
.0000076
.0000517
.08
.09
.0000000
.0000000
.0000004
.0000034
.0000233
.0001396
.09
.10
.0000000
.0000002
.0000014
.0000101
.0000620
.0003326
.10
.11
.0000000
.0000006
.0000042
.0000267
0001478
.0007154
.11
.12
.0000002
.0000017
.0000111
.0000637
.0003212
.0014143
.12
.13
.0000006
.0000044
.0000266
.0001399
.0006454
.0026042
.13
.14
.0000017
.0000107
.0000589
.0002854
.6012132
.0045125,
.14
• 15
.0000041
.0000239
.0001220
.0005469
.0021523
.0074192
.15
• 16
.0000093
.0000502
.0002580
.0009919
.0036306
.0116508
.16
.17
.0000198
.0000996
.0004*106
.0017137
.0058573
.0175700
.17
.!8
.0000400
.0001881
.0007786
.0028356
.0090829
.0255595,
.18
.19
1 .0000769
.0003396
.0013196
.0045142
.0135937
.0360032
.19
.20
.0001418
.0005889
.0021537
.0069403
.0197044
.0492635,
.20
.21
1 .0002515
.0009843
.0033971
.0103382
.0277459
.0656590
.21
.22
i .0004297
.0015911
.0051940
.0149621
.0380506
.0654426
.22
.23
.0007112
.0024944
.0077178
.0210902
.0509358
.1087832
.23
.24
.0011423
.0038017
.0111706
.0290149
.0666862
.1357502
.24
.25
.0017843
.0056454
.0157807
.0390324
.0855358
.1663049
.25
.26
.0027162
.0081830
.0217975-
.0514289
.1076527
.2002967
• 26
.27
.0040370
.0115978
.0294846
.0664664
.1331248
.2374653
.27
.28
.0058674
.0160963
.0391114
.0843681
.1619508
.2774500,
.28
.29
.0083508
.0219051
.0509418
.1053045,
.1940345-
.3198024
.29
• 30
.0116538
.0292654
.0652225-
.1293811
.2291834
.3640041
.30
• 3i
.0159649
.0384260
.0821708
.1566282
.2671135-
.4094875,
.31
. 32
.0214916
.0496342
.1019619
.1869943
.3074569
.4556576
.32
.33
.0284571
.0631266
.1247176
.2203427
.3497748
.5019142
.33
.34
.0370938
.0791175-
.1504961
.2564525-
.3935725,
.5476734
.34
• 35
.0476367
.0977882
.1792844
.2950226
.4383176
.5923867
.35
• 36
.0603150,
.1192761
.2109934
.3356809
.4834586
.6355574
.36
• 37
.0753424
.1436648
.2454560
.3779949
.5284445-
.6767539
.37
.38
.0929070
.1709756
.2824289
.4214868
.5727424
.7156184
.38
• 39
.1131615-
.2011615,
.3215975-
.4656483
.6158552
.7518725-
.39
.4o
.1362129
.2341032
.5625842
.5099594
.6573346
.7853184
.40
.41
.1621144
.2696086
.4049595,
.5539038
.6967935-
.8158376
.41
.42
.1908573
.3074150-
.4482555-
.5969862
.7339129
.8433856
.42
.43
.2223662
.3471943
.4919802
.6387469
.7684476
.8679854
.43
.44
.2564962
.3885615,
.5356542
.6787745
.8002269
.8897181
.44
.45
.2930325-
.4310857
.5787259
.7167164
.8291531
.9087136
.45
.46
.3316934
.4743024
.6207866
.7522852
.8551972
.9251397
.46
• 47
.3721359
.5177284
.6613848
.7852637
.8783926
.9391922
.47
.48
.4139645,
.5608769
.7001375,
.8155055-
.8988267
.9510852
.48
• 49
.4567414
.6032721
.7367197
.8429^31
.9166322
.9610417
.49
• 50
.5000000
.6444644
.7708708
.8675346
.9319770
.9692858
.50
267
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n=29 r= 9
n=29 r* 8
n=29 r= 7
n-29 r- 6
n-29 r= 5
n=29 r= 4
P
.01
.0000000
.0000000
.0000000
.0000004
.0000097
.0001945-
.01
.02
.0000000
.0000001
.0000014
.0000205-
.0002545-
.0025477
.02
.03
.0000001
.0000016
.0000191
.0001909
.0015802
.0105640
.03
.04
.0000013
.0000132
.0001174
.0008782
.00,54435-
.0273565-
.04
.05
.0000078
.0000649
.0004594
.0027407
.0135767
.0547534
.05
.06
.0000335-
.0002301
.0013501
.0066903
.0276062
.0931427
.06
.07
.0001110
.0006500,
.0032541
.0137836
.0487566
.1416848
.07
.08
.0003053
.0015554
.OO6783O
.0250797
.0776826
.1986693
.08
.09
.0007280
.0032777
.0126522
.0415005-
.1144223
.2618866
• 09
.10
.0015502
.0062466
.0216167
.0637174
.1584441
.3289520
.10
.11
.0030115-
.0109732
.0343977
.0920794
.2087538
.3975542
.11
.12
.0654224
.0180192
.0516107
.1265830
.2640322
.4656244
.12
.13
.0091585-
.0279571
.0737047
.1668830
.3227775,
.5314363
.13
.14
.0146463
.0413251
.1Q09193
.2123345,
.3834365-
.5936474
.14
.15
.0223420
.0585832
.1332619
.2620556
.4445134
.6512989
.15
.16
.0327039
.0800735-
.1705063
.3150021
.5046529
.7037863
.16
.17
.0461625,
.1059907
.2122097
.3700441
.5626948
.7508126
.17
.18
.0630897
.1363630
.2577449
.4260377
.6177045-
.7923342
.18
.19
.0837709
.1710456
.3063424
.4818876
.6689818
.8285042
.19
.20
.1083817
.2097271
.3571386
.5365961
.7160535,
.8596195,
.20
.21
.1369716
.2519451
.4092248
.5892987
.7586539
.8860736
.21
.22
.1694558
.2971122
.4616939
.6392861
.7966974
.9083162
.22
.23
.2056146
.3445466
.5136812
.6860130
.8302473
.9268216
.23
.24
.2451016
.3935070
.5643981
.7290975-
.8594845-
.9420629
.24
.25
.2874586
.4432276
.6131574
.7683107
.8.846757
.9544946
.25
.26
.3321362
.4929515-
.6593897
.8035619
.9061459
.9645399
• 26
.27
.3785183
.5419606
.7026514
.8348785-
.9242541
.9725872
.27
.28
.4259490
.5896009
.7426260
.8623849
.9393727
. 9789664
.28
.29
.4737596
.6353009
.7791183
.8862806
.9518713
.9839881
.29
.30
.5212949
.6785856
.8120445-
.9068196
.9.621051
.9879050-
.30
.31
.5679361
.7190828
.8414186
.9242912
.9704059
.9909343
.31
. 32
.6131209
.7565249
.8673371
.9390037
.9770766
.9932576
.32
• 33
.6563588
.7907457
.8899624
.9512703
.9823886
.9950246
.33
.34
.6972419
.8216729
.9095065-
.9613979
.9865805,
.9963573
.34
.35
.7354508
.8493181
.9262156
.9696793
.9898589
.9973542
.35
• 36
.7707563
.8737650-
.9403565-
.9763866
.9924000
.9930937
.36
.37
.8030174
.8951556
.9522043
.9817677
.9943521
.9986377
.37
.38
.8321751
.9136772
.9620325,
.9860442
.9958384
.9990344
.38
• 3 - 9
.8582450-
.9295496
.9701051
.9894109
.9969599
.9993214
.39
.40
.8813062
.9430127
.9766707
.9920364
.9977985-
.9995271
.40
.41
.9014913
.9543160
.9819582
.9940645,
.9984199
.9996733
.41
.42
.9189740
.9637099
.9861747
.9956164
.9988761
.9997764
.42
.43
.9339581
.9714377
.9895039
.9967925-
.9992079
.9998483
.43
.44
.9466671
.9777302
.9921065-
.9976751
.9994470
.9998980
.44
.45
.9573339
.9828016
..9941206
.9983311
.9996176
.9999321
.45
.46
.9661928
.•9868469
.9956637
.9988137
.9997382
.9999552
.46
.47
i« n
.9734729
.9900402
.9968337
.9991653
.9998225,
.9999708
.47
.48
.9793919
.9925343
.9977116
.9994187
.9998810
.9999811
.48
• 49
.9841527
.9944617
.9983634
.9995994
.9993210
.9999879
.49
• 50
.9879402
.9959350-
.9988422
.9997269
.9999481
.9999924
• 50
268
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
ST
p
| n -29 r- 3
n=29 r= 2
n=29 r- 1
n=30 r =28
n-30 r-27
n-30 r-26
p
.01
.0030082
.0359595
.2528279
.0000000
.0000000
.0000000
.01
.02
.0198354
.1139572
.4433833
.0000000
.0000000
.0000000
.02
.03
.0552526
.2158008
.5865907
.0000000
.0000000
.0000060
.03
.04
.1082662
.32^0254
.6938983
.0000000
.0000000
.0000000
.04
.05
.1751162
.4292155-
.7740645-
.0000000
.0000000
.0000006
.05
.06
.2511025-
.5260695-
.8337706
.0000000
.0000000
.0000000
.06
.07
.3316261
.6120156
.8780995-
.0000000
.0000000
.0000000
.07
.08
.4127226
.6862352
.9109063
.0000000
.0000000
.0000000
.08
.09
.4912754
.7489839
.9351066
.0000000
.0000000
.0000000
.09
.10
.5650400
.8011279
.9528987
.0000000
.0000000
.0000000
.10
.11
.6325644
.8438362
.9659349
.0000000
.0000000
.0000000
.11
.12
.6930617
.87838IO
.975^531
.oooo'ooo
.0000000
.0000000
.12
.13
.7462684
.9060153
.9823779
.0000000
.0000000
.0000000
.13
.14
.7923083
.9279022
.9873975,
.0000000
.0000000
.0000000
.14
.15
.8315755-
.9450797
.9910226
.0000000
.0000000
.0000000
.13
.16
.8646247
.9584472
.9936306
.0000000
.0000000
.0000000
.16
.17
.8921138
.9687673
.995^995-
.0000000
.0000000
.0000000
.17
.18
.9147243
.9766748
.9968333
.0000000
.0000000
.0000000
.18
.19
.9351503
.9826900
.9977815-
.0000000
.0000000
.0000000
• 19
.20
.9479678
.9872337
.9984526
.0000000
.0000000
.0000000
.20
.21
.9598183
.9906428
.9989256
.0000000
.0000000
.0000000
.21
.22
.9691995
.9931835-
.9992574
.0000000
.0000000
.0000000
.22
.23
.9765622
•9950647
.9994892
.0000000
.0000000
.0000000
.23
.24
.9822954
.9964486
.9996504
.0000000
.0000000
.0000000
.24
.25
.9867188
.9974602
.9997619
.0000000
.0000000
.0000000
.25
.26
.9901089
.9981948
.9998387
.0000000
.0000000
.0000000
• 26
.27
.9926859
.9987250-
.9998913
.0000000
.0000000
.0000000
.27
.28
.9946299
.9991051
.9999271
.0000000
.0000000
.0000000
.28
.29
.9960852
.9993759
.9999514
.0000000
.0000000
.0000000
.29
.30
.9971665-
.9995676
.9999678
.0000000
.0000000
.0000000
.30
.31
.9979659
.9997024
.9999788
.0000000
.0000000
.0000000
.31
.32
.9985475,
.9997965,
.9999861
.0000000
.0000000
.0000000
.32
• 33
.9989715-
.9998618
.9999910
.0000000
.0000000
.0000000
.33
.34
.9992771
.9999068
.9999942
.0000000
.0000000
.0000000
.34
.35
.9994957
.9999376
.9999962
.0000000
.0000000
.0000000
.35
.36
.9996509
.9999585,
.9999976
.0000000
.0000000
.0000000
.36
.37
.9997605
.9999727
.9999985-
.0000000
.0000000
.0000000
.37
.38
.9998567
.9999821
.9999990
.0000000
.0000000
.0000001
.38
.39
.9998896
•9999884
.9999994
.0000000
.0000000
.0000001
.39
.40
.9999260
•9999925,
.9999996
.0000000
.0000000
.0000002
.40
.41
.9999508
.9999952
.9999998
.0000000
.0000000
.0000003
.41
.42
.9999676
.9999970
.9999999
.0000000
.0000001
.0000006
.42
.43
.9999789
.9999981
.9999999
.0000000
.0000001
.0000010
.43
.44
.9999863
.9999988
1.0000000
.0000000
.0000002
.0000016
.44
.45
.9999912
.9999993
1.0000000
.0000000
.0000003
.0000027
.45
.46
.9999944
.9999996
1.0000000
.0000000
.0000006
.000004-5,
.46
.47
.9999965,
.9999997
1.0000000
.0000001
.0000009
.0000074
.47
.48
.9999978
.9999998
1.0000000
.0000001
.0000016
.0000119
.48
.49
.9999987
.9999999
1.0000000
.0000003
.0000026
.0000189
.49
• 50
.9999992
.9999999
1.0000000
.0000004
.0000042
.0000297
.50
269
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-30 r=25
n=30 r=24
n=30 r=23
n=30 r=22
n=30 r=21
n-30 r=20
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000^00
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.OOOOOO0
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.'18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.22
•23
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000003
.0000018
.25
.26
.0000000
.0000000
.0000000
.0000001
.0000006
.0000035,
• 26
.27
.0000000
.0000000
.0000000
.0000002
.0000011
.0000066
.27
.28
.0000000
.0000000
.0000000
.0000003
.0000022
.0000120
.28
.29
.0000000
.0000000
.0000001
.0000007
.0000040
.0000213
.29
.30
.0000000
.0000000
.0000002
.0000012
.0000073
.0000369
.30
.31
.0000000
.0000000
.0000003
.0000023
.0000129
.0000622
.31
• 32
.0000000
.0000001
.0.000007
.0000041
.0000222
.0001027
.32
. 33
.0000000
.0000002
.0000012
.0000073
.0000374
.0001659
.33
.34
.0000000
.0000003
.0000022
.0000126
.0000618
.0002626
.34
• 35
.0000001
.0000006
.0000038
.0000212
.0001001
.0004079
.35
• 36
.0000001
.0000011
.0000066
.0000352
.0001592
.0006223
.36
• 37
.0000003
.0000019
.0000113
.0000572
.0002486
.0009328
.37
.38
.0000005-
.0000032-
.0000187
.0000915-
.0003816
.0013755,
.38
• 3*9
.0000008
.0000055,
.0000307
.0001437
.0005761
.0019964
.39
.4o
.0000014
.0000092
.0000493
.0002223
.0008564
.0028539
.40
.41
.0000024
.0000152
.0000781
.0003384
.0012539
.0040207
.41
.42
.0000041
.0000246
.0001218
.0005075,
.0018096
.0055857
.42
.43
It l.
.0000068
.0000394
.0001871
.0007504
.0025754
.0076557
.43
.44
1 . r*
.0000112
.0000620
.0002835,
.0010942
.0036162
.0103569
.44
• 45
li /•
.0000181
.0000962
.0004237
.0015744
.0050121
.0138358
.45
.46
.0000288
.0001474
.0006248
.0022362
.0068601
.0182591
.46
• 47
i, n
.0000452
.0002229
.0009098
.0031369
.0092758
.0238132
.47
.48
.0000701
.0003328
.0013084
.0043473
.0123946
.0307021
.48
.49
.0001073
.0004908
.0018593
.0059543
.0163727
.0391444
.49
• 50
.0001625-
.0007155-
.0026114
.0080624
.0213870
.0493686
.50
270
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
8 q n-s
p
H n=30 r-19
n=30 r-18
n-30 r=17
n=30 r=l6
n=30 r=15
n=30 r=l4
p
.01
.0000000
.6000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.6000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.6000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.Ooooooo
.0000000
.0000000
.0000000
.0000001
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000001
.0000010
.11
.12
.0000000
.0000000
.0000000
.0000001
.0000004
.0000028
.12
.13
.0000000
.6000000
.0000000
.0000002
.0000011
.0000073
.13
.14
.0000000
.6000000
.0000001
.0000004
.0000030
.0000174
.14
.15
.0000000
.0000000
.0000002
.0000011
.0000071
.0000386
.15
.16
.0000000
.0000001
.0000004
.0000028
.0000158
.0000802
.16
.17
.0000000
.0000001
.0000010
.0000062
.0000334
.0001576
.17
.18
.0000000
.0000004
.0000023
.0000133
.0000667
.0002944
.‘18
.19
.0000001
.0000008
.0000051
.0000270
.0001269
.0005258
.19
.20
.0000005
.0000018
.0000105-
.0000524
.0002312
.0009019
.20
• 2i
.0000006
.0000039
.0000207
.0000974
.0004052
.0014910
.21
.22
.0000013
.0000077
.0000391
.0001742
.0006852
.0023837
.22
.23
.0000027
.0000149
.0000714
.0003011
.0011214
.0036957
.23
.24
.0000054
.0000273
.0001261
.0005040
.0017805,
.0055703
.24
.25
.0000102
.6000501
.0002157
.0008190
.0027495,
.0081792
.25
.26
.0000183
.0000875,
.0003585-
.0012948
.0041376
.0117228
• 26
.27
.0000335,
.0001487
.0005799
.0019956
.0060784
.0164273
.27
.28
.0000582
.0002460
.0009149
.0030033
.0087315-
.0225405,
.28
.29
.0000984
.0003971
.0014097
.0044200
.0122816
.0303258
.29
.30
.000162.4
.0006262
.0021247
.0063703
.0169373
.0400525,
.30
.31
.6002620
.0009662
.0031364
.0090019
.0229278
.0519868
.31
.32
.0004138
.0014604
.0045398
.0124860
.0304973
.0663791
.32
• 33
.0006401
.0021646
.0064503
.0170161
.0338980
.0834516
.33
.34
.0009714
.6031497
.0090047
.0228057
.0513818
.1033862
.34
.35
.0014473
.0045034
.0123619
.0300837
.0651897
.1263119
.35
• 36
.0021190
.0063319
.0167023
.0390891
.0815410
.1522943
.36
• 37
.0030511
.6087620
.0222258
.0500631
.1006217
.1813275,
.37
.38
.0043240
.0119411
.0291489
.0632409
.1225731
.2133279
.38
.39
.0060353
.0160377
.0376996
.0788414
.1474815-
.2481315,
.39
.40
.0083016
.0212399
.0481117
.0970568
.1755691
.2854956
.40
.4l
.61125^6
.0277532
.0606167
.1180418
.2061870
.3251025-
.41
.42
.6150667
.0357969
.0754351
.1419031
.2398115,
.3665680
.42
.43
.0199000
.0455988
.0927668
.1686902
.2760423
.4094522
.43
.44
.0259553
.0573883
.1127809
.1983875-
•3146049
.4532735,
.44
.45
i. /•
.0334440
.0713894
.1356048
.2309086
.3551564
4975237
.45
.46
.0425890
. 087810.9
.1613152
.2660932
.3972935,
.5416851
.46
.47
I, n
.0536192
.1068367
.1899290
.3037075-
.4405644
.5852469
.47
.48
.0667625-
.1286160
.2213963
.3434466
.4844824
.6277220
.48
.49
.0822374
.1532530
.2555957
.3849414
.5285415-
.6686615-
.49
• 50
.1002442
.1807973
.2923324
.4277678
.5722322
.7076676
.50
271
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s^n-s
p
n=30 r=15
n-30 r~12
n-30 r-11
n-30 r=10
n=30 r= 9
n=30 r= 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.aoooooi
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000002
.0000021
.03
.04
.0000000
.0000000
.0000000
.0000001
.0000017
.0000174
.04
.03
.0000000
.0000000
.0000001
.0000012
.0000.107
.0000846
.05
.06
.0000000
.0000001
.0000007
.0000059
.0000453
.Q002973
.06
.07
.0000000
.0000004
.0000031
.0000230
.0001487
.0,008323
• 07
.08
.0000002
.0000015,
.0000111
.0000720
.0004054
.0019736
.08
.09
.0000007
.0000052
.0000337
.0001926
.0009575-
.0041214
•09
.10
.0000023
.0000153
.0000891
.0004544
.0020198
.0077836
.10
.11
.0000067
.0000400
.0002103
.0009680
.0038873
.0135499
.11
.12
.0000174
.0000946
.0004524
.0018953
.0069340
.0220502
.12
.13
.0000413
.0002056
.0009001
.0034563
.0116023
.0339043
.13
.14
.0000906
.0004153
.0016751
.0059313
.0183814
.0496683
.14
.15
.0001857
.0007877
.0029424
.0096576
.0277782
,0697850-
.15
.16
.0003586
.0014141
.0049138
.0150193
.0402831
.0945427
.16
.17
.0006570
.0024181
.0078485-
.0224307
.0563333
.1240479
.17
.18
.0011489
.0039601
.0120487
.0323150-
.0762789
.1582117
.18
.19
.0019266
.0062393
.0178515,
.0450791
.1003531
.1967520
.19
.20
.0031110
.0094931
.0256163
.0610871
.1286508
.2392094
.20
.21
.0048547
..0139938
.0357076
.0806346
.1611161
.2849738
.21
.22
.0073430
..0200416
.0484768
.1039255,
.1975402
.3333201
.22
.23
.0107934
..0279547
.0642407
.1310544
.2375689
.3834475,
.23
.24
.0154532
.0380560
.0832616
.1619945,
.2807189
.4345208
.24
.25
.0215936
..0506583
.1057281
.1965934
.3264008
.4857100
.25
. 26
.0295016
.0660471
.1317401
.2345749
.3739482
.5362254
• 26
.27
.0394697
.0844641
.1612967
.2755496
.4226477
.5853472
• 27
.28
.0517833
.1060912
.1942906
.3190297
.4717715,
.6324479
.28
.29
.0667070
.1310362
.2305072
.3644500-
.5206066
.6770080
.29
.30
.0844701
.1593218
..2696296
.4111915
.5684821
.7186233
.30
.31
.1059526
.1908786
.3112494
.4586066
.6147916
.7570069
.31
. 32
.1291723
.2255423
.3548811
.5060459
.6590102
.7919848
.32
*33
.1562739
.2630553
.3999808
.5528810
.7007065-
.8234872
.33
.34
.1865212
.3030733
.4459668
.5985267
.7395484
.8515363
.34
.35
.2197928
.3451759
.4922418
.6424591
.7753043
.8762322
.35
• 36
.2558809
.3888809
,5382142
.6842290
.8078394
.8977379
.36
*37
.2944954
.4336612
.5833190
.7234714
.8371085,
.9162636
.37
.38
.3352708
.4789638
.6270353
.•7599100
.8631459
.9320522
.38
.39
.3777773
.5242290
.6689019
.7933577
.8860538
.9453663
.39
.4o
.4215343
.5689095,
.7085281
.8237135,
.9059888
.9564759
.40
.41
.4660267
.6124886
.7456015,
.8509556
.9231494
.9656493
.41
.42
.5107224
.6544954
.7798915-
.8751327
.9377630
.9731451
.42
.43
.5550899
.6945182
.8112489
.8963537
.9500743
.9792061
.43
.44
)i r~
.5986160
.7322136
.8396030
.9147757
.9603348
.9840557
.44
• 45
it r
.6408216
.7673129
.8649553
.9305927
.9687944
.9878952
.45
.46
.6812760
.7996247
.8873707
.9440241
.9756937
.9909026
• 46
.47
I. Q
.7196079
.8290343
.9069684
.9553042
.9812595,
.9932331
.47
.4o
.7555141
.8554997
.9239108
.9646725-
.9857003
.9950194
.48
• 49
.7887643
.8790457
.9383929
.9723661
.9892041
.9963736
.49
• 50
•8192027
.8997558
.9506314
.9786130
.9919376
.9973886
• 50
272
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
S q Il-8
p
n=30 r= 7
n=30 r= 6
n=30 r= 5
n-30 r= 4
n-30 rs 3
.n=30 r= 2
p
.01
.0.000000
.0000005-
.0000116
.0002226
.0033177
.0361480
.01
.02
.0000017
.0000251
.0003003
.0028935-
.0217178
.1205457.
.02
.03
.0000242
.0002326
.0018497
.0119046
.0600691
.2269245,
.03
.04
.00014-78
.0010608
.0063200
.0305929
.II68966
.3388203
.04
.03
.0005735-
.0032825-
.0156355,
.0607716
.1878212
.4464579
.05
.06
.0016705-
.0079452
.0315384
.1026203
.2676005-
.5445315,
.06
.07
.0039912
.6162317
.0552616
.1549807
.3512534
.6306415-
.07
.08
.0082468
.0292879
.0873615,
.2157936
. 4346036
.7042089
.08
.09
.0152486
.6480634
.1276941
.2825316
.5144692
.7657349
• 09
.10
.0258268
.0731901
.1754949
.3525608
.5886488
.8163050-
.10
.11
.Q407427
.1049136
.2295218
.4234053
.6558043
.8572671
.11
.12
.0606074
.1430769
.2882233
.4929169
.7153000
.8900297
.12
.13
.0858179
.1871493
.3499032
.5593645-
.7670355-
.9159425-
.13
.14
.1165175-
.2362888
.4128660
.6214599
.8112915-
.9362316
.14
.15
.1525810
.2894243
.4755313
.6783401
.8485994
.9519711
.15
.16
.1936256
.3453463
.5365143
.7295204
.8796363
.9640765,
.16
.17
.2390415,
.4027947
.5946748
.7748338
.9051449
.9733118
.17
.18
.2880376
.4605377
.6491378
.8143644
.9258754
.9803034
.18
.19
.3396960
.5174355-
.6992910
.8483832
.9425466
.9855574
.19
.20
.3930301
.5724876
.7447667
.8772892
.9558210
.9894775,
.20
.21
.4470403
.6248633
.7854121
.9015600
.'9662914
.9923822
.21
.22
.5007642
.6739166
.8212535,
.9217105,
.9744758
.9945198
.22
•23
.5533175,
.7191869
.8524594
.9382619
.9808177
.9960823
.23
.24
.6039259
.7603903
.8793033
.9517182
.9856907
.9972170
.24
.25
.6519457
.7974019
.9021304
.9625507
.9894041
.9980356
.25
.26
.6968744
.8302337
.9213284
..9711879
.9922113
.9986222
• 26
.27
.7383527
.8590099
.9373030
.9780109
.9943165-
.9990399
•27
.28
.7761585,
.8839414
.9504589
,9833522
.9958829
.9993353
.28
.29
.8101954
.9053019
.9611852
.9874963
.9970395-
.9995428
•29
.30
.8404770
.9234052
.9698451
.9906834
,9978868
.9996877
.30
.31
.8671091
.9385868
.9767697
.9931135-
.9985028
.9997881
.31
.32
.8902704
.9511871
.9822545,
.9949504
,9989472
.9998572
.32
.33
.9101940
.9615393
.9865585-
,9963270
.9992653
.9999044
.33
.34
.9271496
.9699600
.9899046
.9973500,
.9994912
.9999365,
.34
.35
.9414279
.9767422
.9924823
.9981037
.9996504
.9999581
.35
• 36
.9533273
.9821515-
.9944498
.9986543
.9997617
.9999726
.36
.37
.9631428
.9864240
.9959378
.9990530
.9998388
.9999822
.37
.38
.9711569
.9897660
.9970529
.9993393
.9998919
.9999885,
.38
.39
.9776344
.9923550-
.9978809
.9995430
.9999281
.9999927
.39
.40
.9828170
.9943412
.9984899
.9996867
.9999526
.9999954
.40
.41
.9869218
.9958502
.9989358
.9997871
.9999690
.9999971
.41
.42
.9901402
.9969855-
.9992542
.9998567
.9999799
.9999982
.42
.43
.9926380
.9978311
.9994833
,9999044
.9999871
.9999989
.43
.44
.9945567
.9984548
.99964-54
.9999369
.9999918
.9999993
.44
.45
.9960153
.9980100
.9997591
.9999587
.9999949
.9999996
♦ 45
.46
.9971127
.9992390
.9998380
.9999733
.9999968
.9999998
.46
.47
.9979295,
.9994742
.9998922
.9999829
.9999980
.9999999
.47
.48
.9985310
.9996406
.9999290
.9999891
.9999988
.9999999
.48
.49
.9989691
.9997570
.9999538
.9999932
.9999993
1.0000000
.49
• 50
.9992845,
.9998375,
.9999703
.9999958
.9999996
1.0000000
• 50
273
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
•n-50 r- 1
n=31 r=29
n=31 r=28
n-31 r-27
n-31 r-26
n=31 r=25
p
.01
.2602996
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.4545157
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.5989929
.,0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.7061424
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.7853612
.0000000
.0000000
.0000000
.0000000
.0000000
• 05
.06
.8457444
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.8866325,
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.9180338
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.9409470
.000000,0
.0000000
.0000000
.0000000
.0000000
.09
.10
.9576088
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.9696820
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.9783987
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.9846687
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.9891619
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.9923692
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.9946497
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.9962646
.0000000
.0000000
.0000000
.0000000
.0000000
• 17
.18
.9974033
.0000000
.0000000
.0000000
.0000000
.0000000
.*18
.19
.9982030
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.9987621
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.9991512
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.9994208
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.9996067
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.9997343
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.9998214
.0000000
.0000000
.0000000
.0000000
. .0000000
.25
.26
..9998806
.0060000
.0000000
.0000000
.0000000
.0000000 j
• 26
.27
.9999206
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.9999475,
.0000000
.0000000
.0000000
.0000000
.0000000 1
.28
.29
.9999655,
.0000000
.0000000
.0000000
.0000000
.0000000 j
.29
.30
.9999775-
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.9999854
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.9999906
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.9999939
.0000000
.0000000
.0000000
.0000000
.0000001
.33
.34
.9999961
.0000000
.0000000
.0000000
.0000000
.0000001
.34
.35
.9999976
.0000000
.0000000
.0000000
.0000000
.0000003
.35
•36
.9999985^-
.0600000
.0000000
.0000000
.0000001
.0000005-
.36
.37
.9999990
.0000000
.0000000
.0000000
.0000001
.0000009
.37
.38
.9999994
.0000000
.0000000
.0000000
.0000002
.0000015,
.38
.39
.9999996
.0000000
.0000000
.0000000
.0000004
.0000026
.39
.4o
.9999998
.0000000
.0000000
.0000001
.0000007
.0000045,
.40
.41
.9999999
.0.000000
.0000000
.0000001
.0000012
.0000077
.41
.42
.9999999
.0000000
.0000000
.0000003
.0000021
.0000127
.42
.43
1.0000000
.0000000
.0000000
.0000005-
.0000035-
.0000208
.43
.44
1.0000000
.0000000
.0000001
.0000008
.0000058
.0000335,
.44
.45
1.0000000
.0000000
.0000002
.0000014
.0000096
.0000532
.45
.46
1.0000000
.0000000
.00.00003
.0000024
.0000157
.0000833
.46
.47
1.0000000
.0000000
.0000005-
.0000040
.0000252
.0001287
.47
.48
1.0000000
.0000001
.0000008
.0000065,
.0000398
.0001962
.48
• 49
1.0000000
.0000001
.0000014
.0000106
.0000622
.0002953
.49
• 50
1.0000000
.0000002
.0000023
.0000170
.0000961
.0004390
.50
274
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=31 r=24
n=31 r-23
n=31 r=22
n=31 r=21
n=31 r=20
n=31 r=19
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.OOOOOQO
.0000000
.0000000
.08
• 09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000002
.0000013
.21
.22
.0000000
.0000000
.0000000
.0000001
.000000^-
.0000027
.22
.23
.0000000
.0000000
.0000000
.0000001
.0000010
.0000055,
.23
.24
.0000000
.0000000
.0000000
.0000003
.0000020
.0000108
.24
.25
.0000000
.0000000
.0000001
.0000007
.0000039
.0000202
.25
. 26
.0000000
.0000000
.0000002
.0000013
.0000075-
.0000367
• 26
.27
.0000000
.0000001
.0000004
.0000026
.0000139
.0000646
•27
.28
.0000000
.0000001
.0000008
.0000049
.0000249
.0001108
.28
.29
.0000000
.0000003
.0000016
.0000090
.0000437
.0001850,
.29
.30
.0000001
.0000005-
.0000031
.0000162
.0000745,
.0003016
.30
• 3l
.0000001
.0000009
.0000056
.0000282
.0001242
.0004803
.31
. 32
.0000003
.0000018
.0000099
.0000479
.0002022
.0007487
.32
• 33
.0000005,
.0000032
.0000172
.0000798
.0003224
.0011432
• 33
.34
.00^0010
.0000057
.0000293
.0001301
.0005036
.0017120
.34
.35
.0000017
.0000099
.0000488
.0002079
.0007717
.0025169
.35
•36
.0000031
.0000169
.0000798
.0003259
.0011611
.0036356
.36
.37
.0000053
.0000283
.0001280
.0005018
.0017166
.0051642
.37
.38
.0000091
.0000464
.0002017
.0007593
.0024960
.0072185,
.38
.39
.0000153
.0000748
.0003124
.0011300
.0035716
.0099362
.39
.40
.0000253
.0001185,
•0004759
.0016554
.0050330
.0134769
.40
.4l
.0000410
.0001848
.0007138
.0023883
.0069886
.0180220
.41
.42
.0000654
.0002838
.0010544
.0033956
.0095677
.0237734
.42
.43
.0001029
.0004293
.0015351
.0047599
.0129207
.0309505-
.43
.44
.0001595-
.0006402
.0022039
.0065821
.0172202
.0397858
.44
.45
.0002436
.0009415-
.0031214
.0089828
.0226595,
.0505194
.45
.46
.0003670
.0013661
.0043632
.0121037
.0294509'
.0633911
• 46
.47
.0005457
.0019565,
.0060222
.0161084
.0378220
.0786314
.47
.48
.0008011
.0027671
.0082100
.0211822
.0480111
.0964522
.48
.49
.0011614
.0038658
.0110593
.0275308
.0602600
.1170351
.49
• 50
.0016634
.0053369
.0147247
.0353778
.0748064
.1405208
.50
275
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q ii-s
p
n-31 r=l8
n=31 r=17
n=31 r = l6
n=31 r-15
n=3l r-14
n=31 r=13
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000005,
.0000036
.10
.11
.0000000
.0000000
.0000000
.0000002
.0000016
.0000104
.11
.12
.0000000
.0000000
.0000001
.0000007
.0000046
.0000267
.12
.13
.0000000
.0000000
.0000003
.0000019
.0000117
.0000627
.13
.14
.0000000
.0000001
.0000008
.0000050-
.0000277
.0001361
.14
.15
.0000000
.0000003
.0000020
.0000118
.0000607
.0002760
.15
.16
.0000001
.0000008
.0000049
.0000261
.0001248
.0005275-
.16
.17
.0000003
.0000019
.0000109
.0000545-
.0002425-
.0009564
.17
.18
.0000007
.0000043
.0000229
.0001076
.0004482
.0016549
.18
.19
.0000016
.0000093
.0000460
.0002027
.0007920
.0027460
.19
.20
.0000036
.0000189
.0000882
.0005654
.0013437
.0043875-
.20
.21
.0000074
.0000368
.0001620
.0006332
.0021974
.0067739
.21
.22
.0000146
.0000688
.0002867
.0010589
.0034748
.0101367
.22
.23
.0000279
.0001243
.0004898
.0017135-
.0053282
.0147405-
.23
.24
.0000514
.0002168
.0008104
.0026901
.0079422
.0208779
.24
.25
.0000915-
.0003665,
.0013016
.0041069
.0115328
.0288598
.25
.26
.0001580
.0006019
.0020340
.0061097
.0163453
.0330035-
• 26
.27
.0002651
.0009622
.0030980
.0088726
.0226487
.0516182
.27
.28
.0004335
.0014996
.0046072
.0125980
.0307285,
.0669895,
.28
.29
.0006907
.0022827
.0066999
.0175144
.0408763
.0853624
.29
.30
.0010758
.0033984
.0095404
.0238719
.0535778
.1069256
.30
• 3l
.0016390
.0049547
.0133190
.0319361
.0684992
.1317967
.31
• 32
.0024458
.0070826
.0182496
.0419794
.0864729
.1600107
.32
• 33
.0035789
.0099370
.0245671
.0542707
.1074830
.1915118
.33
.34
.0051404
.0136970
.0325216
.0690633
.1316521
.2261489
.34
• 35
.0072539
.0185645,
.0423708
.0865825-
.1590302
.2636769
.35
• 36
.0100652
.0247615,
.0543718
.1070122
.1895855-
.3037609
.36
• 37
.0137436
.0325256
.0687698
.1304829
.2231996
.3459867
.37
.38
.0184800
.0421038
.0857871
.1570599
.2596662
.3898742
.38
.39
.0244858
.0537449
.1056111
.1867350-
.2986934
.4348935-
.39
.40
.0319886
.0676898
.1283817
.2194197
.3399111
.4804844
.40
.41
.0412272
.0841610
.1541813
.2549424
.3828814
.5260761
.41
.42
.0524450-
.1033516
.1830246
.2930492
.4271128
.5711071
.42
.43
ti 1.
.0658810
.1254139
.2148516
.3554086
.4720764
.6150441
.43
.44
.0817611
.1504478
.2495232
.3756191
.5172242
.6573989
.44
.45
i. r
.1002864
.1784915-
.2868201
.4192217
.5620078
.6977427
.45
.46
.1216229
.2095151
.3264454
.4637136
.6058969
.7357164
• 46
.47
)| o
.1458901
.2434049
.3680302
.5085652
.6483966
.7710383
.47
• 4o
.1731506
.2799804
.4111438
.5552374
.6890622
.8035072
.48
• 49
CT r\
.2034010
.3189751
.4555054
.5972003
.7275119
.8330022
.49
• 50
.2365648
.3600501
.5000000
.6399499
.7634352
.8594792
.50
276
BINOMIAL DISTRIBUTION
Table E - Partial Sums
n
L
s-r
s q n-s
p
n=31 r-12
n-51 r-11
n-51 r-10
n=31 r-= 9
n=31 r- 8
n=31 r= 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000001
.0000022
.02
.03
.0000000
.0000000
.0000000
.0000002
.0000028
.0000305-
.03
.04
.0000000
.0000000
.0000002
.0000024
.0000226
.0001843
.04
.05
.0000000
.0000002
.0000016
.0000144
.0001091
.0007089
• 05
.06
.0000001
.0000010
.0000085
.0000604
.0003797
.0020470
.06
.07
.0000006
.0000045-
.0000518
.0001966
.0010534
.00^8480
.07
.08
.0000025
.0000160
.0000987
.0005308
.0024755-
.0099301
.08
.09
.0000077
.0000480
.0002614
.0012425
.0051229
.0182019
.09
.10
.0000227
.0001256
.0006109
.0025962
.0095879
.0305631
.10
.11
.0000537
.0002936
.0012891
.0049502
.0165411
.0478015-
.11
.12
.0001576
.0006255,
.0024999
.0087480
.0266770
.0705037
.12
.13
.0002959
.0012524
.0045152
.0145016
.0406531
.0989910
.13
.14
.0005917
.0022709
.OO76745
.0227616
.0590272
.1332854
.14
.15
.0011109
.0059497
.0125757
.0540792
.0822044
.1731075-
.15
.16
.0019740
.0065307
.0190615,
.0489646
.1103960
.2179009
.16
.17
.0055412
.0105275-
.0281941
.0678448
.1435968
.2668796
.17
.18
.0054161
.0156966
.0402285-
.0910268
.1815804
.3190876
.'18
.19
.0084456
.0250248
.0555812
.1186689
.2239114
.3734665-
• 19
.20
.0127177
.0527104
.0745999
.1507625-
.2699735,
.4289216
.20
.21
.0185557
.0451425
.0975357
.1871262
.3190078
.4843832
.21
.22
.0262975
.0606755,
.1245207
.2274118
.3701578
,5388577
.22
.23
.0565005-
.0796079
.I555527
.2711210
.4225176
.5914675-
.23
.24
.0489055
.1021575-
.1904884
.5176515
.4751781
.6414774
.24
.25
.0644257
.1284444
.2290452
.5662281
.5272690
.6883098
.25
.26
.0851273
.1584772
.2708120
.4161405
.5779942
.7315478
.26
.27
.1052089
.1921450,
.5152661
.4665766
.6266587
.7709302
.27
.28
.1307871
.2292176
.5617974
.5167609
.6726869
.8063377
.28
.29
.1598828
.2695506
.4097554
.5659650
.7156323
.8377763
• 29
.30
.1924141
.5120981
.4585785,
.6155245-
.7551794
.8653555-
.30
.31
.2281936
.5569501
.5070259
.6588785
.7911386
.8892672
.31
.32
.2669308
.4052559
.5549945-
.7015621
.8234362
.9097638
.32
.33
.5082407
.4504579
.6016654
.7412241
.8521004
.9271380
.33
.34
.5516571
.4978572
.6464741
.7776245
.8772448
.9417051
.34
.35
.5966489
.5448178
.6889549
.8106291
.8990507
.9537879
.35
.36
.4426409
.5907795,
.7287288
.8402029
.9177501
.9637040
.36
.37
.4890546
.6551754
.7655171
.8663959
.9336089
.9717568
.37
.38
.5352310
.6775277
.7991596
.8893303
.9469120
.9782284
.38
.39
.5806514
.7174597
.8295092
.9091856
.9579508
.9833754
.39
.4o
.6247570
.7546025
.8566256
.9261836
.9670123
.9874267
.40
.41
.6670649
.7887967
.8805551
.9405744
.9743711
.9905825-
.41
.42
.7071618
.8198928
.9014575-
.9526235,
.9802831
.9930152
.42
.43
.7447124
.8478459
.9194536
.9626010
.9842318
.9948710
.43
.44
.7794649
.8726790
.9348217
.9707720
.9886762
.9962718
.44
.45
.8112520
.8944921
.9477834
.9773897
.9915493
.9973180
.45
.415
.8599879
.9154513
.9585921
.9826898
.9937593
.9980908
.46
.47
.8656655
.9206862
.9675032
.9868871
.9954404
.9986555,
.47
.48
.8885370
.9454764
.9747658
.9901735-
.9967050-
.9990636
.48
.49
.9081258
.9550597
.9806167
.9927171
.99764-54
.9993551
.49
• 50
.9251936.
.9646222
.9852753
.9946631
.9983366
.9995610
.50
277
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8q n-s
p
n*3l r = 6
n=3l r= 5
n=31 r= 4
n=31 r= 3
n-31 r=> 2
n=31 r= 1
p
.01
.02
.03
.04
.03
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
.23
.24
.25
.26
.27
.28
.29
.30
.31
.32
.33
.34
.35
• 36
.37
.38
.39
.4o
.41
.42
.43
.44
.43
.46
.47
.48
.49
.50
.0000006
.0000306
.0002811
.0012712
.0039001
.0093608
.OI89638
.0339338
.0552302
.083420.6
.1186205,
.1604945-
.2083073
.2610096
.3173403
.5759551
.435414-3
.4944857
.5519880
.6069434
.6585786
.7063307
.7498396
.7889294
.8235840
.8539183
.8801490
.9025663
.9215080
.9373572
.9504235-
.9611286
.9637956
.9767412
.9822512
.9865789
.9899441
.9925350,
.9945101
.9960007
.9971145-
.9979383
.9985415,
.,9989787
.9992921
.9995145,
.9996707
.9997790
.9998534
.9999039
.0000137
.0003522
.0021513
.0072909
.0178923
.0358033
.0622419
.0976361
.1416295-
.1932015-
.2508490
.3127865,
.3771351
.4420691
.5059526
.5673952
.6253019
.6788786
.7276185,
.7712712
.8098031
.8433540
.8721940
.8966829
.9172355-
.9342918
.9482941
.9596690
.9688154
.9760966
.9818363
.9863172
.9897821
.9924361
.9944498
.9959634
.9970904
-.9979217
.9985291
.9989686
.9992836
.9995072
.9996644
.9997737
.9998489
.9992002
.9999348
.9999579
.9999731
.9999830
.0002575,
.0032700
.0133496
.0340450,
.0671240
.1125191
.1687198
.2332984
.3034060
.3761626
.4489692
.5196029
.5863617
.6480363
.7038790
.7555590
.7969867
.834436*!
.8662742
.8929956
.9151556
.9555189
.9480498
.9598716
.9692640
.9766540
.9824134
.9868608
.990‘2638
.9928*144
.9947842
.9962293
.9972967
.9280780
.9986451
.9990550
.9995458
.9995495
.9996952
.9997930
.9998617
.9999085-
.9999400
.9999610
.9999750-
.9992841
.9999900
.9999938
.9999962
.9999977
.0036460
.0236944
.0650748
.1257735,
.2007550
.2842163
.3708105,
.4561721
.5370831
.6114144
.6779652
.7362676
.7863934
.8287831
.8641051
.8931468
.9167332
.9356724
.9507187
.9625523
.9717705-
.9788855-
.9843286
.9884570
.9915620
.9938781
.9955918
.9968496
.9977655-
.9984271
.9989013
.9992384
.9994762
.9996426
.9997581
.9998376
.9998919
.9999286
.9999533
.9999697
.9999805,
.9999876
.9999922
.9999951
.9999970
.9999982
.9999989
.9999993
.9999996
.9999998
.0383895,
.1272251
.2380866
.3535132
.4634031
.5624843
.6485608
.7213149
.7815040
.8304354
.8696327
.9006340
.9248769
.9436418
.9580308
.9689682
.9772138
.9833814
.9879600
.9913344
.9938037
.9955980
.9968929
.9978212
.998*1821
.9989494
.9992777
.9995067
.9996654
.9997746
.9998492
.9998999
.9999340
.9999568
.9999719
.9999819
.9999884
.9999927
.9999954
.9999971
.9999982
.9999989
.9999993
.9999996
.9999998
.9999999
.9999999
1.0000000
1.0000000
1.0000000
.2676966
.4654254
.6110231
.7178967
.7960932
.8531197
.8945683
.9245911
.9462618
.9618480
.9730170
.9809908
.9866618
.9906792
.9935139
.9955057
.9968996
.9978707
.9985444
.9990096
.9993294
.9995482
.9996972
.9997981
.9998661
.99.99117
.9999421
.9999622
.9999755,
.9999842
.9999899
.9999936
.9999959
.9999575-
.9999984
.9999990
.9999994
.9999996
.9099998
.9999999
.9999999
1.0000000
1.0000000
l.o'oooooo
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
• 16
•it
.18
.19
.20
.21
.22
.23
.24
.25
.26
:3
.29
.30
.31
.32
.33
.34
.35
.36
.37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
278
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n=32 r =30
n =32 r =29
n=32 r =28
n =32 r =27
n=32 r =26
n=32 r=25
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0009000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
• 09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.‘18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.oooooco
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.'0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
-29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.31
.32
.0000000
.0000000
.0000000
.0000900
.0000000
.0000001
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.34
.35
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.35
• 36
.0000000
.0000000
.0000000
.0000000
.0000002
.0000014
.36
.37
.0000000
.0000000
.0000000
.0000000
.0000004
.0000025,
.37
.38
.0000000
.0000000
.0000000
.0000001
.0000007
.0000044
.38
.39
.0000000
.0000000
.0000000
.0000002
.0000013
.0000076
.39
. 4 o
.0000000
.0000000
.0000000
.0000003
.0000022
.0000128
.40
.41
.0000000
.0000000
.0000001
.0000006
.0000038
.0000213
.41
.42
.0000000
.0000000
.0000001
.0000010
.0000065,
.0000,3.49
.42
.43
.0000000
.0000000
.0000002
.0000018
.0000109
.0000561
.43
.44
.0000000
.0000000
.0000004
.0000030
.0000180
.0000889
.44
.45
.0000000
.0000001
.0000007
.0000051
.0000293
.0001389
.45
.46
.0000000
.0000001
. 0000012
.0000085-
.0000468
.0002138
.46
.47
.0000000
.0000003
.0000021
.0000139
.0000738
.0003247
.47
.48
.0000000
.0000004
.0000036
.0000225,
.0001149
. 0004865 ,
.48
.49
.0000001
.0000008
.0000059
.0000359
•0001764
.0007197
.49
.50
.'0000C01
.0000013
.0000097
.0000565,
.0002675,
.0010512
.50
832939 0 - 50 - 19
279
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
3 m T
V * 8
p
n*32 r~24
n=32 r =23
n=32 r=22
n=32 r =21
n=32 r=20
n-32 r =19
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0006000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.‘18
.19
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005,
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000002
.0000012
.20
.21
.0000000
.0000000
.0000000
.0000001
.0000004
.0000026
.21
.22
.0000000
.0000000
.0000000
.0000002
.0000010
.0000054
.22
.23
.0000000
.0000000
.0000000
.0000003
.0000020
.0000107
.23
.24
.0000000
.0000000
.0000031
.0000007
.0000041
.0000205,
.24
.25
.0000000
.0000000
.0000002
.0000015-
.0000080
.0000580
.25
.26
.0000000
.0000001
.0000005,
.0000029
.0000151
.00.00682
• 26
.27
.0000000
.0000002
.0000010
.0000056
.0000276
.0001188
.27
.28
.0000000
.0000003
.0000020
.0000105,
.0000490
.0002011
.28
.29
.0000001
.0000007
.0000038
.0000191
.0000847
.0003517
.29
.30
.0000002
.0000013
.0000070
.0000357
.0001426
.0005558
.30
.31
.0000004
.0000024
.00001 26
.0000579
.0002346
.0008395,
.31
.32
.0000007
.0000044
.0000221
.0000975
.0003771
.0012918
.32
.33
.0000014
.0000078
.0000379
.0001599
.0005935
.0019470
.33
.34
.0000026
.0000137
.0000636
.0002571
.0009145-
.0028777
.34
.35
.oooo046
.0000236
.0001045,
.0004052
.0015825,
.0041748
.35
.36
.0000081
.0000396
.0001684
.0006266
.0020519
.0059503
.36
.37
.0000138
.0000652
.0002663
.0009515
.0029922
.0083385,
.37
.38
.0000233
.0001054
.0004136
.0014192
.0042905,
.0114979
.38
.39
.0000385-
.0001674
.•0006313
.0020822
.0060558
.0156106
.39
.4o
.0000626
.0002615-
;0009477
.0050064
.0084105,
.0208816
.40
.41
.0001000
.0004017
.0014003
.0042744
.0115125
.0275361
.41
.42
.0001572
.0006075-
.0020377
.0059878
.0155541
.0358154
.42
.43
.0002433
.0009048
.0029218
.0082691
.0206755,
.0459706
.43
.44
.0003710
.0013282
.0041303
.0112629
.0271491
.0582549
.44
.43
.0005576
.0019224
.0057590
.0151575
.0551965-
.0729146
.45
.46
.0008266
.0027448
.0079238
.0200854
.0450654
.0901777
.46
.47
.0012088
.0038674
.0038674
.0263158
.0570025-
.1102430
.47
.48
.00i7448
.0053797
.0144366
.0540601
.0712628
.1332674
.48
.49
.0024866
.0073906
.0191303
.0455681
.0880798
.1593544
.49
• 50
.0035002
.0100308
.0250512
.0550921
.1076656
.1885428
.50
. ua
280
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-a
p
n=32 r-18
n-32 r-17
n=32 r =16
n=32 r=15
n-32 r=14
n=32 r=13
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0006000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.6000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
• 07
.08
.0000000
.0000000
.0000000
.OOOOOO0
.0000001
.0000004
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000002
.0000017
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000008
.0000055,
.10
.11
.0000000
.0000000
.0000000
.0000004
.0000026
.0000157
.11
.12
.0000000
.0000000
.0000002
.0000012
.0000072
.0000400
.12
.13
.0000000
.0000001
.0000005-
.0000032
.0000183
.0000930
.13
.14
.0000000
.0000002
.0000014
.0000082
.0000428
.0001999
.14
.15
.0000001
.0000006
.0000035-
.0000191
.0000930
.0004012
.15
.16
.0000002
.0000014
.0000083
.0000419
.0001892
.0007589
.16
.17
.0000006
.0000034
.0000183
.0000865-
.0003639
.0013618
.17
.18
.0000014
.0000077
.0000382
.0001689
.0006654
.0023319
.‘18
.19
.0000031
.0000162
.0000758
.0003146
.0011632
.0038289
.19
.20
.0000066
.0000327
.0001436
.0005610
.0019525-
.0060535,
.20
.21
.0000136
.0000631
.0002610
.0009617
.0031585-
*0092477
.21
.22
.0000266
.0001168
.0004566
.0015904
.0049404
.0136920
.22
.23
.0000501
.0002083
.0007712
.0025449
.0074930
.0196993
.23
.24
.0000911
.0003592
.0012615-
.0039506
.0110468
.0276045-
.24
.25
.0001602
.0006003
.0020030
.0059634
.0158646
.0377513
.25
.26
.0002734
.0009743
.0030937
.0087710
.0222364
.0504756
.26
.27
.0004533
.0015388
.0046571
.0125922
.030^705-
.0660877
.27
.28
.0007319
.0023697
.0068446
.0176746
.0408816
.0848528
.28
.29
.0011524
.0035637
.0098361
.0242893
.0537773
.1069733
.29
.30
.0017726
.0052410
.0138399
.0327237
.0694421
.1325721
.30
.31
.0026669
.0075476
.0190903
.0432707
.0881214
.1616797
.31
.32
.0039296
.0106560
.0258431
.0562173
.1100050-
.1942251
.32
• 33
.0056771
.0147650-
.0343693
.0718308
.1352125-
.2300325
.33
.34
.0080497
.0200974
.0449458
.0903435,
.1637810
.2688217
.34
.35
.0112126
.0268967
.0578449
.1119392
.1956565,
.3102171
.35
.36
.0155559
.0354212
.0733223
.1367386
.2306886
.3537577
.36
.37
.0206929
•0459359
.0916036
.1647881
.2686309
.3989144
.37
.38
.0274571
.0587035-
.1128708
.1960503
.3091452
.4451098
.38
.39
.0358969
.0739727
.1372494
.2303988
.3518114
.4917391
.39
.40
.0462691
.0919666
,1647969
.2676162
.3961404
.5381934
.40
.41
.0588301
.1128693
.1954934
.3073974
.4415912
.5838815-
.41
.42
.0738258
.1368143
.2292350-
.3493559
.4875904
.6282500,
.42
.43
.0914802
.1638721
.2658311
.3930357
.5335525,
.6708014
.43
.44
.1119832
.194,0409
.3050054
.4379253
.5789011
.7111080
.44
.45
.1354787
.2272394
.3464008
.4834754
.6230885-
.7488219
.45
.46
.1620524
.2633019
.3895888
.5291179
.6656139
.7836813
.46
.47
.1917220
.3019788
.4340817
.5742859
.7060382
.8155121
.47
.48
.2244289
.3429388
.4793487
.6184333
.7439958
.8442255,
.48
.49
.2600323
.3857770
.5248339
.6610529
.7792021
.8698128
.49
.50
.2983074
.4300230,
.5699750-
.7016926
.8114572
.8923364
.50
281
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-s
p
n=32 r=l2
n=52 r=11
n=32 r *10
n=32 r- 9
n=32 r = 8
n=32 r = 7
j P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000002
.0000028
.02
.03
.0000000
.0000000
.0000000
.0000003
.OOOOO36
.0000380
.03
.04
.0000000
.0000000
.0000003
.0000032
.0000291
.0002278
.04
.05
.0000000
.0000002
.0000023
.0000191
.0001391
.0008685-
.05
.06
.0000002
.0000014
.0000114
.0000795,
.0004797
.0024858
.06
.07
.0000008
.0000064
.0000433
.0002566
.0013190
.0058361
.07
.08
.0000034
.0000226
.0001332
.0006864
.0030719
.0118504
.08
.09
.0000114
.0000672
.0003497
.0015915.
.OO63OOO
.0215345-
.09
.10
.0000330
.0001741
.0008094
.003295^
.OII6855-
.0358489
.10
.11
.0000846
.0004051
.0016918
.0062252
.0199797
.0555916
.11
.12
.0001961
.0008505-
.0032497
.0108994
.0319362
.0813026
.12
.13
.0004176
.0016591
.0058135-
.0179013
.0482370
.1132021
.13
.14
.0008268
.0050274
.0097865,
.0278387
.0694234
.1511668
.14
.15
.0015367
.0052136
.0156312
.0412980
.0958398
.1947424
.15
.16
.0027031
.0085356
.0238460
.0587936
.1275968
.2431861
.16
.17
.0045289
.0133648
.0349348
.0807227
.1645549
.2955305-
.17
.18
.0072666
.0201123
.0493722
.1073265-
.2063317
.3506593
.18
.19
.0112157
.0292105-
.0675678
.1386650-
.2523268
.4073856
.19
.20
.0167163
.0410883
.0898324
.1746047
.3017631
.4645259
.20
.21
.0241375
.0561449
.1163497
.2148213
.3537366
.5209642
.21
.22
.0338605
.0747215-
.1471568
.2588159
.4072718
.5757018
.22
.23
.0462612
.0970752
.1821334
.3059422
.4613761
.6278931
.23
.24
.0616859
.1233569
.2210027
.3554426
.5150899
.6768659
.24
.25
.0804304
.1555946
.2633410
.4064883
.5675292
.7221283
.25
.26
.1027182
.1876842
.3085973
.4582223
.6179181
.7633642
• 26
.27
.1286817
.2253877
.3561199
.5097987
.6656120
.8004193
.27
.28
.1583476
.266-3399
.4051872
.5604202
.7101091
.8332817
.28
.29
.1916284
.3100622
.4550414
' .6093671
.7510541
.8620585-
• 29
.30
.2283193
.5559823
.5049223
.6560209
.7882322
.8869500-
.30
.31
.2681019
.4034592
.5540988
.6998790
.8215585-
.9082256
.31
.32
.3105542
.4518109
.6018961
.7405618
..8510610
.9262005,
.32
.33
.3551658
.5003423
.6477184
.7778133
..8768628
.9412150-
.33
.34
.4013583
.5483737
.6910652
.8114953
.8991613
.9536174
.34
.35
.4485081
.5952658
.7315409
.8415767
.9182087
.9637501
.35
.36
.4959708
.6404413
.7688595-
.8681199
.9342935,
.9719390
.36
.37
.5431067
.6834018
.802842,3
.8912647
.9477236
.9784861
.37
.38
.5893037
.7237402
.8334121
.9112114
.9588122
.9836649
.38
.39
.6339988
.7611468
.8605830
.9282041
.9678664
.9877179
.39
.4o
.6766951
.7954108
.8844476
.9425151
.9751781
.9908563
.46
.41
.7169749
.8264176
.9051630
.9544310
.9810177
.9932606
.41
.42
.7545088
.8541416
.9229356
.9642405,
.9856306
.9950829
.42
.43
.7890590
.8786361
.9380070
.9722248
.9892342
.9964493
.43
.44
.8204791
.9000218
.9506399
.9786498
.9920183
.9974628
.44
.45
.8487100
.9184732
.9611063
.9837615,
.9941452
.9982063
.45
.46
.8737719
.9342053
.9696771
.9877818
.9957518
.9987457
.46
.47
.8957541
.9474602
.9766136
.9909072
.0 969515,
.9991326
.47
.48
.9148039
.9584953
.9821615-
.9933086
. 9978371
•9994070
.48
.49
.9311156
.9675725-
.9865459
.9951320
.9 984832
•9995993
.49
.50
.9449079
.9749488
.9899692
.9964998
.9 989488
.9997325-
.50
282
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 q n ~ S
p
n-32 r= 6
n=32 r= 5
n=32 r- 4
n=32 r= 3
n=32 r= 2
n=32 r- 1
p
.01
.0000007
.0000161
.0002875-
.0039934
.0406826
.2750197
.01
.02
.0000371
.0004106
.OO36785-
.0257650,
.1339891
.4761169
.02
.03
.0003372
.0024873
.0149013
.0702651
.2492747
.6226924
.03
.04
.0015120
.OO836H
.0377142
.1348831
.3680885,
.7291808
.04
.03
.0045997
.0203539
.0738055-
.2138855,
.4800376
.8062885,
.05
.06
.0109474
.0404062
.1228209
.3009124
.5799224
.8619325,
.06
.07
.0219933
.0696954
.1828662
.3902531
.6657814
.9019485-
.07
.08
.0390300
.1084891
.2511283
.4773835-
.7375770
.9306238
.08
.09
.0630061
.1561894
.3244369
.5590810
.7963322
.9510982
.09
.10
.0943987
.2114983
.3996941
.6333165-
.8435766
.9656632
.10
.11
.1331656
.2726422
.4741587
.6990486
.8810050-
.9759851
.11
.12
.1787695,
.3376045-
.5456026
.7559916
.9102768
.9832719
.12
.13
.2302547
.4043328
.6123658
.8043962
.9329089
.9883958
.13
.14
.2863579
.4709046
.6733409
.8448633
.9502271
.9919841
.14
.15
.3456322
.5356415,
.7279129
.8781940
.9633533
.9944868
.15
.16
. 4065671
.5971782
.7758762
.9052782
.9732142
.9962248
.16
.17
.4676952
.6544883
.8173436
.9270149
.9805604
.9974266
.17
.18
. 5276764
.7068790
.8526589
.9442600
.9859894
.9982540
.‘18
.19
.5853578
.7539631
.8823187
.9577945,
.9899711
.9988210
.19
.20
.6398090
.7956161
.9069069
.9683087
.9928695-
.9992077
.20
.21
.6903357
.8319267
.9270431
.9763974
.9949641
.9994703
.21
.22
.7364758
.8631463
.9433435,
.9825622
.9964670
.9996476
.22
.23
.7779811
.8896408
.9563939
.9872184
.9975379
.9997668
.23
.24
.8147903
.9118482
.9667321
.9907044
.9982956
.9998465,
.24
.25
.8469969
.9302426
.9748385,
.9932920
.9988281
.9998995>
.25
.26
.8748154
.9453060
.9811322
.9951966
.9991996
•9999346
.26
.27
.8985482
.9575064
.9859716
.9965870
.9994571
.9999577
.27
.28
.9185551
.9672827
.9896576
.9975936
.9996343
.9999728
.28
.29
.9352272
.9750354
.9924393
.9983164
.9997553
.9999826
.29
.30
.9489650,
.9811209
.9945192
.9988313
.9998375-
.9999890
.30
.31
.9601614
.9858501
.9960605-
.9991951
.9998928
. 9999930
.31
.32
.9691890
.9894891
.9971922
.9994501
.9999299
.9999956
.32
.33
.9763912
.9922619
.9980159
.9996273
.9999544
.9999973
.33
.34
.35
.9820774
.9865207
.9943543
.9959181
.9986100
-9990346
.9997494
.9998329
.9999706
.9999812
.9999983
.9999990
.34
.35
.36
.9899573
.9970756
.9993354
.9998896
.9999881
.9999994
.36
.37
.9925882
.9979242
.9995466
.9999276
.9999925-
.9999996
.37
.38
.9945820
.9985402
.9996934
.9999530
.9999953
.9999998
.38
.39
.9960775-
.9989831
.9997946
.9999697
•9999971
.9999999
.39
.40
.9971879
.9992984
.9998637
.9999807
.9999982
.9999999
.40
.41
.9980038
.9995206
.9999104
.9999878
.9999989
1.0000000
.41
.42
.9935973
.9996757
.9999417
.9999924
.9999994
1.0000000
.42
.43
.9990243
.9997829
.9999624
.9999953
.9999996
1.0000000
.43
.44
.9993285-
.9998561
.9999760
•9999971
.9999998
1.0000000
.44
.45
.9995427
.9999057
.9999849
.9999982
.9999999
1.0000000
.45
.46
.9996920
.9999388
.9999906
.9999989
.9999999
1.0000000
.46
.47
.9997948
.9999608
.9999942
.9999994
1.0000000
1.0000000
.47
.48
.9998649
•9999751
•9999964
.9999996
1.0000000
1.0000000
.48
.49
.9999121
.9999844
.9999979
.9999998
1.0000000
1.0000000
.49
.50
.9999435-
.9999903
.9999987
.9999939
1.0000000
1.0000000
.50
2Q3
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n - 8
p
n=35 r=31
n=33 r=30
n=33 r=29
n=33 r=28
n=33 r=27
n=33 r=26
p
oOl
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.01
.02
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.02
.03
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.03
.04
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.04
.03
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.05
.06
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.06
.07
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.07
.08
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.08
.09
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.09
.10
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.10
.11
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.11
.12
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.12
.13
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.13
.14
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.14
.15
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.15
.16
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.16
.17
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.17
.18
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.18
.19
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.19
.20
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.20
.21
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.21
.22
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.22
.23
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.23
.24
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.24
.23
.0000000
.0000000
.0000000
. 0 O 0 O 0 O 0
.ooooooo
.ooooooo
.25
.26
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.26
.27
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.27
.28
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.28
.29
.0000000
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.29
.30
.0000000
.0000000
.0000000
.OOOOOOO
.ooooooo
.ooooooo
.30
.31
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.31
.32
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.32
• 33
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.0000001
.33
.34
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.0000002
.34
.35
.0000000
.0000000
.0000000
.ooooooo
.ooooooo
.0000003
.35
• 36
.0000000
.0000000
.0000000
.ooooooo
.0000001
.0000006
.36
.37
.0000000
.0000000
.0000000
.ooooooo
.0000002
.0000012
.37
.38
.0000000
.0000000
.0000000
.ooooooo
.0000003
.0000021
.38
.39
.0000000
.0000000
.0000000
.0000001
.0000006
.0000037
.39
.40
.0000000
.0000000
.0000000
.0000001
.0000011
.0000065-
.40
.41
.0000000
.0000000
.0000000
.0000003
.0000019
.0000110
.41
.42
.0000000
.0000000
.0000001
.0000005,
.0000033
.0000184
.42
.43
.0000000
.0000000
.0000001
.0000009
.0000057
.0000304
.43
.44
.0000000
.0000000
.0000002
.0000016
.0000096
.0000492
.44
.45
.0000000
.0000000
.0000004
.0000027
.0000160
.0000786
.45
.46
.0000000
.0000001
.0000006
.0000046
.0000261
.0001236
.46
.47
.0000000
.0000001
.0000011
.0000077
.0000421
.0001917
.47
.48
.0000000
.0000002
.0000019
.0000127
.0000668
.0002933
.48
.49
.0000000
.0000004
.0000033
.0000206
.0001048
.0004426
.49
• 50
.0000001
.0000007
.0000055-
.0000331
.0001620
.0006594
.50
284
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n =33 r =25
n-33 r =24
n =33 r=23
n-33 r=22
n=33 r=21
n =33 r-20
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
*0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
*0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
*0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
• 15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
-.17
. 18
.0000000
.0000000
.0000000
.0Q00000
.0000000
.0000001
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.20
• 21
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000003
.0000019
.22
.23
.0000000
.0000000
.0000000
.0000001
.0000007
.0000040
.23
.24
.0000000
.0000000
.0000000
.0000003
.0000015,
.0000080
.24
.25
.0000000
.0000000
.0000001
.0000006
.0000031
.0000155-
.25
.26
.0000000
.0000000
.0000002
.0000011
.0000061
.0000289
.26
.27
.0000000
.0000001
.0000004
.0000023
.0000116
.0000522
•27
.28
.0000000
. D000001
.0000008
.0000044
.0000213
■ .0000916
.28
.29
.0000000
.0000003
.0000016
.0000082
.0000381
.0001563
.29
.30
.0000001
.0000005,
.0000030
.0000150-
.0000664
.0002600
.30
• 3i
.0000002
.0000010
.0000055,
.0000266
.0001127
.0004221
.31
.32
.0000003
.0000019
.0000100
.0000461
.0001868
.0006698
.32
. 33
.0000006
.0000035,
.0000177
.0000781
.0003029
.0010400
.33
.34
.0000011
.0000064
.0000307
.0001294
.0004806
.0015820
.34
• 35
.0000021
.0000112
.0000519
.0002098
.0007473
.0023598
.35
• 36
.0000038
.0000194
.0000860
.0003333
.0011397
.0034553
.36
.37
.0000067
.0000328
.0001396
.0005197
.0017064
.0049703
.37
.38
.0000116
.0000545-
.0002225,
.0007957
.0025103
.0070293
.38
• 39
.0000196
.0000888
.0003485
.0011971
.0036311
.0097809
.39
.40
.0000327
.0001421
.0005360
.0017712
.0051681
.0133990
.40
.4l
.0000536
.0002237
.0008111
.0025787
.0072420
.0180821
.41
.42
.0000862
.0003463
.0012082
.0036968
.0099973
.0240523
.42
.43
.0001366
.0005277
.0017721
.0052211
.0136030
.0315513
.43
.44
.0002130
.0007922
.0025611
.0072686
.0182528
.0408357
.44
.45
.0003273
.0011718
.0036489
.0099792
.0241639
.0521696
.45
.46
.0004957
.0017089
.0051271
.0135172
.0315742
.0658160
.46
.47
.0007402
.0024583
.0071082
.0180717
. 0407375 -
.0820255,
.47
.48
.0010905-
.0034895,
.0097270
.0238559
.0519174
.1010250,
.48
.49
.0015854
.0048896
.0131431
.0311049
.0653788
.1230043
.49
• 50
.0022757
.0067655
.0175410
.0400717
.0813778
.1481032
.50
285
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
ST
V ’ 8
p
n =33 r =19
n =33 r=l 8
n =33 r =17
n =33 r=l 6
n =33 r-15
n =33 r =14
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
i 0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.08
.09
.0000000
.0000000
. 0000 Q 00
.0000000
.0000000
.0000004
.09
.10
. 0000000
.0000000
.0000000
.0000000
.0000002
.0000013
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000006
.0000040
.11
.12
.0000000
.0000000
.0000000
.0000003
.0000019
.0000112
.12
.13
.0000000
.0000000
.0000001
.0000009
.0000052
.0000281
.13
.14
.0000000
.0000001
.0000004
.0000023
.0000130
.0000648
.14
.15
.0000000
.0000002
.0000010
.0000058
.0000302
.0001392
.15
• 16
.0000001
.0000004
.0000025,
.0000136
.0000655-
.0002804
.16
.17
.0000002
.0000011
.'0000060
.0000299
.0001336
.0005335,
•!7
. 18
.0000004
.0000025,
.'0000132
.0000617
.0002583
.0009654
.18
.19
.0000010
.0000056
.0000275,
.0001212
.0004759
.0016697
.19
.20
.0000023
.0000118
.0000549
.0002271
.0008393
.0027727
.20
.21
.0000049
.0000240
.0001046
.0004081
.0014230
.0044372
.21
.22
.0000100
.0000464
.0001915,
.0007060
.0023274
.0068657
.22
.23
.0000197
.0000865-
.0003378
.0011792
.0036829
.0103005-
.23
.24
.0000374
.0001554
.0005758
.0019069
.0056537
.0150206
.24
.25
.0000686
.0002703
.0009510
.0029931
.0084387
.0213362
.25
• 26
.0001216
.0004556
.0015253
.0045698
.0122720
.0295786
.26
.27
.0002091
.0007464
.0023808
.0067996
.0174193
.0400871
•27
.28
.0003497
.0011905-
.0036227
.0098770
.0241725,
.0531935,
.28
.29
.0005697
.0018517
.0053827
. 0140275 ,
.0328408
.0692041
.29
.30
.0009054
.0028131
.0078207
.0195050,
.0437392
.0883811
.30
• 3 l
.OOl4o6o
.0041799
.0111258
.0265862
.0571744
.1109245-
.31
• 32
.0021359
.0060821
.0155159
.0355629
.0734294
.1369554
.32
• 33
.0031779
.0086761
.0212344
.0467316
.0927467
.1665030
.33
.34
.0046362
.0121459
.0285458
.0603810
.1153123
.1994949
.34
.35
.0066380
.0167020
.0377286
.0767779
.1412403
.2357527
.35
.36
. 0093363 .
.0225794
.0490656
.0961522
.1705606
.2749955-
.36
• 37
.0129097
.0300328
.0628330
.1186819
.2032099
.3168358
.37
.38
.0175624
.0393307
.0792871
.1444790
.2390264
.3608117
.38
• 39
.0235222
.0507465-
.0986506
.1735776
.2777497
.4063832
.39
. 4 o
.0310366
.0645481
.1210987
.2059246
.•3190259
.4529616
.40
.41
.0403667
.0809862
.1467452
.2413740
.3624169
.4999302
.41
.42
.0517798
.1002809
.1756310
.2796858
.4074144
.5466674
.42
.43
.0655397
.1226087
.2077145-
.3205291
. 453^580
.5925696
.43
.44
.0818954
.1480886
.2428653
.3634902
.4999547
.6370721
.44
.45
.1010684
.1767710
.2808620
.4080844
.5463013
.6796685-
.45
.46
.1232401
.2086272
.3213939
.4537722
.5919061
.7199249
.46
• 47
J, o
.1485381
.2435427
.3640672
.4999777
. 6362095 ,
.7574909
.47
.48
.1770249
.2813137
.4084156
.5461093
. 6787033
.7921061
.48
• 49
.2086865,
.3216472
.4539149
.5915812
.7189460
.8236013
.49
.50
.2434251
.3641662
.5000000
.6358338
.7565749
.8518968
• 50
286
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
r =13
n=33 r=12
n=33 r=11
n=33 r=10
n-33 r= 9
n-33 r- 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000004
.0000046
.03
.04
.0000000
.0000000
.0000000
.0000004
.0000042
.0000370
.04
♦ 03
.0000000
.0000000
.0000003
.0000031
.0000251
• ooo''756
.05
.06
.0000000
.0000002
.0000020
.0000155,
.0001036
.0006001
.06
♦ 07
.0000001
.0000012
.0000090
.0000582
.0003309
.0016352
• 07
.08
.0000007
.0000049
.0000315-
.0001775-
.0008772
.0037741
.08
.09
.0000026
.0000164
.0000927
.0004615-
.0020153
.0076711
.09
.10
.0000083
.0000471
.0002377
.0010580
.0041344
.0141018
.10
.11
.0000233
.0001196
.0005449
.0021905-
.0077382
.0238970
.11
.12
.0000587
.0002746
.0011384
.0041677
.0134239
.0378602
.12
.13
.0001352
.0005790
.0021992
.0073849
.0218449
.0566825-
.13
.14
.0002876
.0011349
.0039737
.0123138
.0336606
.0808674
.14
♦ 15
.0005716
.0020883
.0067762
.0194813
.0494793
.1106752
.15
.16
.0010700
.0036363
.0109853
.0294376
.0698021
.1460911
.16
.17
.0019002
.0060310
.0170317
.0427187
.0949741
.1868208
.17
.18
.0032201
.0095788
.0253791
.0598040
.1251474
.2323106
.18
.19
.0052324
.0146347
.0364984
.0810763
.1602607
.2317880
.19
.20
.0081861
fc0215907
.0508371
.1067868
.2000364
.3343157
.20
.21
.0123745,
.0308589
.0687879
.1370288
.2439935,
.3888544
.21
.22
.0181291
.0428500-
.0906572
.1717218
.2914762
.4443264
.22
.23
.0258085,
.0579484
.1166386
.2106095-
.3416920
.4996750-
.23
.24
.0357840
.0764869
.1467919
.2532683
.3937579
.5539161
.24
.25
.0^84211
.0987215-
.1810312
.2991278
.4467486
.6061790
.25
.26
.0640587
.1248094
.2191216
.3474998
.4997432
•6557341
.26
.27
.0829881
.1547923
.2606854
.3976132
.5518683
•7020099
.27
.28
.1054314
.1885855-
.3052172
.4486524
.6023331
.7445975-
.28
.29
.1315235
.2259742
.3521061
.4997958
.6504563
.7832454
.29
.30
.1612963
.2666182
.4006643
.5502519
.6956843
.8178476
.30
.31
.1946706
.3100627
•4501575-
.5992906
.7375996
.8484253
.31
.32
.2314504
.3557563
.4998381
.6462691
.7759216
.8751057
.32
.33
.2713264
.4o3o74o
.5489764
.6906497
.8104996
.8980990
.33
.34
.3138842
.4513436
.5968888
.7320114
.8413017
.9176764
.34
.35
.3586189
.4998733
.6429621
.7700534
.8683979
•9341432
.35
.36
.4049544
.5479802
.68667I8
.8045932
.8919424
.9478459
.36
.37
.4522656
.5950159
.7275948
.8355586
.9121545-
•9591057
.37
.38
.4999035-
.6403896
.7654155,
.8629758
.9292997
.9682562
.38
.3-9
.5472204
• 6835865,
.7999269
.8869552
.9436724
.9756085-
.39
,4o
•5935941
.7^41814
.8310255,
.9076746
.9555803
.9814493
.40
.41
.6384498
.7618464
.8587032
.9253629
.9653316
.9660373
.41
.42
.6812787
•7963546
.8830351
.9402837
.9732243
.9896006
.42
.43
.7216522
.8275771
.9041656
.9527206
.9795388
•9923367
.43
.44
.7592313
.8554779
.9222937
.9629643
.9845319
•9944139
.44
.43
.7937715,
.8801035-
.9376581
•9713011
.9884342
.9959727
.45
.46
.8251229
.9015712
.9505223
,9780052
.9914480
.59 7 1200
.46
.47
.8532258
.9200560
.9611623
•9833316
•9937480
•9979766
.47
.48
.8781031
.9357758
.9698551
.9875121
.9954823
.9935907
.48
.49
.8998502
.9489785-
.9768695-
.9907531
.9967740
•9990301
.49
• 50
.9186222
.9599283
.9824590
.9932345,
.9977243
•9993406
• 50
287
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=33 r= 7
n=33 r= 6
n=33 r* 5
n=33 r- 4
a=33 r= 3-
n=33 r= 2
p
.01
.0000000
.0000009
.0000188
.0003245,
.0043603
.0430260
.01
.02
.0000035-
.0000445,
.0004759
.0041202
.0279295-
.1408317
.02
.03
.0000470
.0004017
.0028597
.0165622
•0756354
.2604772
.03
.04
.0002792
.0017860
.0095352
•0416009
.1442113
.3825322
.04
.03
.0010551
•0053875-
.0230265-
.0808095-
.2271931
.4963501
.05
.06
.0029935-
.0127149
.0453511
.1335064
.3176530
•5968430
.06
.07
.0069671
.0253324
,0776173
.1973332
.4095400
.6823131
.07
.08
.0140247
.0445867
.1199002
.2692287
.4981990
.7530207
.08
.09
.0252669
.0713926
.1713317
.3455549
.5804336
.8102611
.09
.10
.0417038
.1061086
.2303179
.4230563
.6543425-
.8557853
.10
.11
.0641247
.1485081
.2948090
.4988966
.7190633
.8914528
.11
.12
.0929966
.1978297
.3625642
•5708493
.7745053
.9190362
.12
.13
.1284190
.2528848
.4313771
.6373293
.8211029
.9401222
.13
.14
.1700936
,3121945-
.4992456
.6973540
.8596142
.9560731
.14
.15
.2173759
.3741336
.5644823
•7504551
.8909679
.9680233
.15
.16
.2693270
.4370649
.6257699
.7965805,
.9161480
.9768959
• 16
.17
.3247935-
.4994500,
.6821737
•8359877
.9361177
.9834276
.17
.18
.3825224
.5599329
.7331194
.8691471
.9517713
.9881971
.18
.19
.4412003
.6173928
•7783507
.8966591
.9639081
.9916525,
.19
.20
.4995825,
.6709704
.8178743
.9191873
•9732209
•9941371
.20
.21
.5565322
.7200698
.8519012
•9374075,
.5802964
•9959104
.21
.22
.6110721
•7643433
.8807897
.9519716
.9856213
.997166s
.22
.23
.6624133
.8036628
. 9049940
•9634835,
.9895919
.9980506
.23
.24
.7099677
.8380842
.9250203
•9724855-
.9925263
.9986678
.24
.25
.7533455-
.8678083
•9413916
.9794519
.9946760
.9990959
.25
.26
.7923415,
.8931430
•9546208
.9847890
.9962374
•9993907
• 26
.27
.8269141
•9144669
.9651920
.9838377
.9973619
•9995922
•27
.28
.8571533
.9321988
.9735477
.9918797
.9981650-
•9997290
.28
.29
.8832774
.9467716
.9800825,
•9941437
.9987337
.9998212
.29
.30
.9055545-
.9586118
.9851404
.9958129
.9991332
.9996829
.30
• 3i
•9243257
.9681249
.9890153
.9970322
•9994114
•9999239
.31
• 32
•9399568
.9756850,
.9919541
•9979147
.5996036
•9999509
.32
*33
.9528231
.9816285,
.9941607
.9935477
•9997352
• 9999686
.33
.34
.9632938
.9862516
.9958013
.9939974
•9998246
.9999800
.34
.35
.9717198
.9898098
.9970089
•9993140
•9998848
.9999874
.35
.36
•9784256
.9925199
.9978892
.9995349
.9999250,
•9999921
.36
.37
.9837039
.9945625,
.9985245-
.9996376
•9999516
•9999951
.37
.38
.9878134
.9960861
.9989784
.9997921
.9999691
•9999970
.38
.39
.9909782
.9972107
.9992996
.9998629
.9999604
.9999982
.39
.40
.9933889
.9980321
.9995245,
•9999105,
• 9999877
.9999989
.4o
.41
•9952053
.9986257
.9996805-
•9999421
•9999924
.9999993
.41
.42
.9965590
•9990502
.9997874
.9999630
• 9999953
.9999996
.42
.43
•9975566
.9993505,
.9998601
.9999765,
•9999971
• 9999998
.43
.44
)l
•9932837
.9995606
.9999089
• 9999853
• 9999933
• 9999999
.44
• 45
it r
.9988077
.9997060
•9999413
•9999909
•9999990
.9999999
.45
.46
.9991810
.9998055,
.9999626
.9999944
•9999994
1.0000000
.46
.47
.9994439
.9998728
.9999765-
.9999966
.9999996
1.0000000
.47
.48
.9996268
.9999173
.9999354
•9999930
•9599996 .
1.0000000
.48
• 49
■9997526
.9999475,
•9999910
.9999938
•9999999
1.0000000
.49
• 50
.9998380
• 9999669
.9999945,
• 9999993
•9599999
1.0000000
• 50
- 1 TS
288
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
ST
s q n-s
p
n =33 r= 1
n =34 r =31
n -34 r=3o
n -34 r -29
n -=34 r=28
n =34 r =27
p
.01
. 2822695 -
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
. 4865945 ,
.0000000
.0000000
.0000000
.0000000
.0000000
• 02
.03
.6340117
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.7400136
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.8159741
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.8702166
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.9088121
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
•9361739
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.9554994
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.9690968
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.11
.9786268
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.9852793
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.9899043
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
•9931064
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.9953138
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.9968289
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
•9978641
.0000000
.0000000
.0000000
.0000000
.0000000
.17
. 18
.9985683
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
. 9990450 -
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
• 9993662
.0000000
. 0000-000
.0000000
.0000000
.0000000
.20
.21
. 9995815 ,
.0000000
.000000:0
.0000000
.0000000
.0000000
.21
.22
.9997251
.0000000
.0000000
.0000000
.0000000
.0000000
.22
• 23
.9998204
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.9998834
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.9999247
.0000000
.0000000
.0000000
.0000000
.0000000
.25
• 26
•9999516
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
• 5999691
.0000000
.0000000
.0000000
.0000000
.0000000
• 2 Z
.28
.9999804
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.9999877
.0000000
-.0000000
.0000000
.0000000
.0000000
.29
.30
.9999923
.0000000
.0000000
.0000000
.0000000
.0000000
.30
• 3 l
•9999952
.0000000
.0000000
.0000000
.0000000
.0000000
.31
. 32
•9999970
.0000000
.0000000
.0000000
.0000000
.0000000
.32
• 33
.9999982
.0000000
.0000000
.0000000
.0000000
•.0000000
.33
.34
•9999989
.0000000
.0000000
.0000000
.0000000
.0000001
.34
.35
•9999993
.0000000
.0000000
.0000000
.0000000
.0000001
.35
.36
.,9999996
.0000000
.0000000
.0000000
.0000000
.0000003
.36
• 37
,9999998
.0000000
.0000000
.0000000
.0000001
.0000005,
.37
.38
•9999999
.0000000
.0000000
.0000000
.0000001
.0000010
.38
• 39
.9999999
.0000000
.0000000
.0000000
.0000003
.0000018
.39
.40
3,-0000000
.0000000
.0000000
.0000001
.0000005,
.0000032
.40
. 4 l
3 ,. 0000000
. 0000000
.0000000
.0000001
.0000009
.0000056
.41
.42
1 .0D00000
.0000000
.0000000
.0000002
.0000017
.0000097
.42
.43
1.0000000
.0000000
.0000001
.0000004
.0000030
.0000163
.43
.44
1.0000000
.QCOOOOO
.0000001
.0000008
*0000051
.0000271
.44
.45
1.0000000
.0000000
.0000002
.0000014
.0000087
.0000442
.45
.46
1.0000000
.0000000
.0000003
.0000025-
. 0000145 -
.0000710
.46
.47
I. n
1.0000000
✓0000001
.0000006
.0000042
.0000238
.0001124
.47
.48
1.0000000
.0000001
.0000010
.0000071
.0000387
.0001755,
.48
.49
1.0000000
.0000002
.0000018
.0000118
.0000618
.0002703
.49
• 50
1.0000000
.0000004
.0000031
.0000193
.0000976
.0004107
.50
289
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
,n,s n-s
U)P ^
p
n=34 r=26
n =34 r=25
n=34 r=24
n-34 r=23
n=34 r=22
n=34 r=21
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
. OOO'OOOO
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.6000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0006000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
• 3-5
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
•.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000003
.0000015-
.23
.24
.0000000
.0000000
.0000000
.0000001
.0000006
.0000031
.24
.25
.0000000
.0000000
.0000000
.0000002
.0000012
.0000062
.25
.26
•0000000
.0000000
.0000001
.0000004
.0000024
.0000120
• 26
.27
.0000000
.0000000
.0000001
.0000009
.0000048
.0000225,
.27
.28
•0000000
.0000000
.0000003
.0000018
.0000091
.0000410
• 28
.29
.0000000
.0000001
.0000006
.0000035-
.0000169
.0000724
• 29
.30
.0000000
.0000002
.0000013
.0000066
.0000304
.0001244
.30
.31
.0000001
.0000004
.0000024
.0000121
.0000533
.0002086
.31
.32
.0000001
.0000003
.0000045,
.0000216
.0000912
.0003414
.32
.33
.0000003
.0000016
.0000082
.0000377
.0001523
.0005461
.33
.34
.0000005,
.0000029
.0000146
.0000642
.0002488
.0008551
.34
.35
.0000010
.0000053
.0000255-
.6001071
.0003979
.0013117
.35
.36
.0000013
.0000094
.0000434
.0001750,
.0006236
.0019733
.36
.37
.0000032
.0000164
.0000723
.0002603
.0009588
.0029141
.37
.38
.0000057
.0000279
.0001183
.0004403
.0014473
.0042275,
.38
.39
.0000099
.0090466
.0001900
.0006794
.0021464
.0060296
.39
.40
.0000170
.0000765*
.0002997
.0010301
.0031299
.0084604
.40
.41
.0000285-
.0061233
.0004645,
.0015358
.0044906
.0116864
.41
.42
.0000469
.0001955-
.0007083
.0022534
.0063430
'.0159004
.42
.43
.0000760
.0003048
.0010628
.0032552
.0088253
.0213207
.43
.44
.0001213
.0004679
.0015705,
.0046324
.0121017
.0281893
.44
.45
.0001905,
.0007073
.0022865-
.0064976
.0163624
.0367665-
.45
• 46
.0002943
.0010538
.0032813
.0089866
.0218234
.0473254
.46
.47
.0004495,
.0015477
.0046438
.0122610
.0287246
.0601428
.47
.48
.1006759
.0022420
.0064835,
.0165089
.0373254
.0754891
.48
.49
.0010026
.0032045-
.0089338
.0219443
.0478991
.0936153
.49
.50
.0014675,
.0045206
.0121533
.0288063
.0607247
.1147405,
.50
290
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=34 r=20
n-34 r =19
n-34 r=l8
n=34 r=17
n=34 r=l6
n=34 r=15
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.000O000
.0000000
.0000000
.0000000
.0000001
.09
.10
.0000000
.0000000
.0000000
.0000000
.0600000
.0000003
.10
.11
.0000000
.0000000
.0000000
.0000000
.0060001
.0000010
.11
.12
.0000000
.0000000
.0000000
.0000001
.0060005-
.0000030
.12
.13
.0000000
.0000000
.0000000
.0000002
.0000014
.0000082
.13
.14
.0000000
.0000000
.0000001
.0000006
.0000038
.0000203
.14
.15
.0000000
.0000000
.0000003
.0000017
.0000095-
.0000466
.15
.16
.0000000
.0000001
.0000008
.0000043
.0000219
.0000999
.16
.17
.0000000
.0000003
.0000019
.0000100
. 0000475 -
.0002016
.17
.18
.0000001
.0000008
.0000044
.0000219
.0000971
.0003856
.18
.19
.0000003
.0000019
.0000098
.0000453
.0001885,
.0007027
.19
.20
.0000008
.0000042
.0000205-
.0000893
.0003495,
.0012260
.20
.21
.0000017
.0000089
.0000409
.0001684
.0006213
.0020560
.21
.22
.0000037
.0000180
.006,0783
.0003047
.0010627
.0033258
.22
.23
.0000076
.0000351
. 0001443 '
.0005313
.0017550,
.0052050-
.23
.24
.0000151
.0000658
.0002563
.0008952
.0028061
.0079017
.24
.25
.0000288
.0001190
.ooo 44 o 4
. 0014615 -
.0043545-
.0116631
.25
.26
.0000530
.0002084
.0007337
.0023169
.0065723
.0167717
.26
.27
.0000946
.0003542
.0011877
.0035739
.0096669
.0235396
•27
.28
.0001638
.0005851
.0018715-
.0053739
.0138797
.0322984
.28
.29
.0002762
.0009415-
.0028757
.0078897
.0194834
.0433862
.29
.30
.0004536
.0014777
.0043154
.0113260
.0267753
.0571318
.30
.31
.0007271
.0022659
.0063331
.0159186
• 0360685,
.0738369
.31
.32
.0011389
.0033986
.0091009
.0219310
.0476802
.0937577
.32
. 33
.0017455,
.0049923
.0128203
. 0296485 -
.0619166
.1170863
.33
.34
.0026204
.0071895-
.0177219
.0393698
.0790576
.1439344
.34
.35
.0038572
.0101604
.0240613
.0513958
.0993397
.1743196
.35
• 36
.0055725-
.0141038
.0321144
.0660168
.1229392
.2081564
.36
.37
.0079079
.0192452
.0421689
.0834971
.1499572
.2452515-
.37
.38
.0110319
.0258344
.0545141
.1040600
.1804070
.2853048
.38
.39
.0151400
.0341397
.0694291
.1278722
.2142047
.3279168
.39
.40
.0204540
.0444412
.0871683
.1550291
.2511651
.3726002
.40
.4l
.0272188
.0570207
.1079474
.1855430
.2910016
.4187973
.41
.42
.0356978
.0721503
.1319280
.2193340
.3333318
.4659007
.42
.43
.0461663
,0900794
.1592042
.2562248
.3776885-
.5132759
.43
.44
.0589019
.1110204
.1897904
.2959402
.4235345,
.5602863
.44
.45
.0741741
.1351346
.2236119
.3381121
.4702820
.6063165,
.45
.46
.0922310
.1625181
.2604999
.3822879
.5173138
.6507947
.46
• 47
.1132864
.1931903
.3001892
.4279451
.5640066
.6932118
.47
.48
.1375050-
.2270835,
.3423226
.4745086
.6097545-
.7331366
.48
• 49
.1649886
.2640373
.3864584
.5213714
.6539900
.7702271
.49
• 50
.1957642
.3037957
.4320831
.5679169
.6962043
.8042358
• 50
291
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=34 r=l4
n=34 r=13
rr=34 r=12
h=34 r-11
n=34 r*10
n=34 r- 9
i P
.01
•0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0060000
.0000000
.0000005,
.03
.04
.0000000
.0000000
.0000000
.0000001
•0000006
.0000055,
.04
.05
.0000000
.0000000
.0000000
.0000005-
.0000042
.0000326
.05
.06
.0000000
.0000000
.0000003
.0000028
.0000208
•0001333
.06
.07
.0000000
.0000002
.0000018
.0000124
.0000773
.0004222
.07
.08
.0000001
.0000010
.0000070
.0000431
.0002335-
.0011090
.08
.09
•OOOOO06
.0000038
.6000233
.0001259
.0006013
.0025243
.09
.10
.0000020
.0000121
.0000661
.0003197
.0013657
.0051311
.10
.11
.0000061
.0000339
.0001664
.0007259
.0028007
.0095156
.11
.12
.0000169
.0000846
.0003783
.0015019
.0052784
.0163562
.12
.13
.0000420
.0001929
.0007897
.0028733
.0092647
•0263738
.13
.14
.0000960
.0004062
.0015323
.0051413
.0153024
.0402695,
.14
.15
.0002041
.0007991
.0027915-
.0086820
.0239310
.0586587
.15
• 16
.0004067
.0014806
.0048121
.0139377
.0358960
.0820084
.16
.17
.0007659
.0026025-
.0079011
.0213985-
.0516021
.1105831
.17
. 18
.0013712
.0043647
.0124229
.0315756
.0715658
.1444368
.18
.19
.0023466
.0070188
.0187888
.0449682
.0961213
.1833509
.19
.20
.0038553
.0108670
.0274400
.0626271
.1254363
.2268922
.20
.21
.0061040
.0162562
.0338240
.0831185,
.1594914
.2744143
.21
.22
.0093437
.0235677
.0533676
.1084914
.1980678
.3251032
.22
.23
.0130673
.0332007
.0714471
.1382519
.2407584
.3780281
.23
.24
.0200038
•0455527
.0933601
.1723462
.2869853
•4321959
.24
• 25
.0281074
.0609962
.II92989
.2105554
.3360330
.4866062
.25
.26
.0385434
.0798539
.1493306
.2525000-
.3670831
.5403008 ;
• 26
.27
.0516704
.1023752
.1833834
.2976559
.4392621
.5924066
•27
.28
.O67Q20I
.1287145,
.2212423
.3453790
.4916830
.6421671
.28
.29
.0872767
.1589141
.2625525-
.3949362
.5434874
.6889651
.29
.30
.1102557
.1920929
.3068320
.4455406
.5938816
•7323333
.30
. 3i
.1363850
.2304421
.3534921
.4963888
.6421664
.7719556
.31
. 32
.1671933
.2712283
.4018625-
.5466960
•6877579
.8076605-
.32
• 33
.2OIO947
•3148031
.4512218
•5957286
•7302002
.8394074
.33
.34
.2383872
.3606204
.5008290
.6428305-
.7691701
.8672691
.34
.35
•2737559
.4080580
.5499544
.6874441
.8044740
.8914105-
.35
• 36
•3217794
.4564437
.5979092
.7291235,
.83603 39
.9120676
.36
.37
• 3669448
.5050832
.6440701
.7675414
.8638991
.9295265-
.37
.38
.4136666
.5532882
.6878995-
.8024884
.8881789
•9441032
.38
.39
.4613097
.'6004032
.7289593
.8338679
.9090749
.9561275-
.39
.40
•5092146
.6458290
.7669190
.8616852
.9268369
.9659279
.40
.41
•5567233
.6890424
.8015577
.8860337
•9417500,
.9738209
.41
.42
.6032042
.7296106
.8327504
.9070795-
.9541188
.9801024
.42
.43
.6430751
.7671999
.8605101
•9250442
.9642524
•9850419
.43
.44
.6908221
.8015798
.8848769
.9401-888
.9724540
.9888800
.44
.45
•7310149
.8326209
.9060030
•9527975-
.9790110
.9918265-
.45
.46
.7683160
.8602892
.9240887
•9631645-
.9841889
.9940612
.47
.8024863
.8846360
•9393759
.9715819
.9882273
•9957355-
M
.48
•8333347
.9057860
•9521339
•9783305-
.9913376
.9969743
.48
.49
•8609633
.9239230
•9626450,
.9836724
.9937034
•9978795-
.49
• 50
.8852595-
• 9392753
•9711937
.9878467
•9954794
.9985325-
.50
1
292
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 n-s
q
p
n-34 r= 8
h=34 r= 7
n-34 r= 6
n=34 r= 5
ii=34 r= 4
n=34 r- 3
p
.01
.0000000
.0000000
.0000011
.0000218
.0003649
.0047470
.01
.02
.0000003
.0000043
•0000532
.0005488
.0045964
.0301875,
.02
.03
.0000059
.0000576
.0004755-
.0032708
.0183344
.0811807
.03
.04
.0000467
.0003394
.0020959
.0108178
.0457053
.1537442
.04
.03
.0002195,
.0012717
.0062694
.0259156
.0881287
.2406510
.05
.0&
.0007437
.0035768
.0146731
.05o64o4
.1445552
.3344644
.06
.07
.0020085-
.0082527
.0289924
.0860009
.2122342
.4286342
• 07
.08
.0045942
.0164697
.0506118
.1318465-
.2875463
.5185847
.08
.09
.0092547
.0294182
.0803871
.1870117
.3666940
.6011181
.09
.10
.0168620
.0481443
.1185296
.2495917
.4461850-
.6744868
.10
.11
.0283221
.0734069
.1646012
.3172587
.5231150,
.7380266
.11
.12
.0444768
.1055784
.2175978
.3875584
.5952881
.7918494
.12
.13
.0660082
.1445995,
.2760888
.4581510
.6612203
.8365754
.13
.14
*0933591
.1899877
.-3383816
.5269808
.7200705-
.8731185-
.14
.15
.1266803
.2408895,
.4026859
.5923782
.7715320
.9025262
.15
• 16
.1658088
.2961651
.4672577
.6530996
.8157113
.9258676
.16
.17
.2102770
.3544892
.5305130
.7083221
.8530098
.9441604
•.17
.18
.2593487
.4144563
.5911065-
.7576044
.8840195-
.9583280
.18
.19
.3120763
.4746769
.6479748
.8008293
.9094364
.9691795,
.19
.20
.3673691
.5338601
.7003512
.8381369
.'9299940
.9774041
.20
.21
.4240668
.5908751
.7477544
.8698575-
.9464142
.9835754
.21
.22
.4810104
.6447917
.7899615,
.8964497
.9593746
.9881613
.22
.23
.5371048
.6949007
.8269690
.9184466
.9694885-
.9915374
.23
.24
•5913685,
.7407157
.8589488
.9364120
.9772953
.9940003
.24
• 23
.6429706
.7819612
.8862041
.9509067
.9832579
.9957810
.25
• 26
.6912520
.8185499
.9091272
.9624645,
.9877656
.9970573
• 26
.27
•7357341
.8505533
.9281627
.9715763
.9911393
•9979641
• 2 Z
.28
.7761145-
.8781696
.9437765,
.9786807
.9936396
.9986029
. 28
.29
.8122546
.9016907
.9564317
•9841603
•9954748
•9990491
.29
.30
.8441596
.9214717
.9665704
.9883422
.9968090
.9993581
.30
• 3l
.8719544
•9379035-
.9746009
.9915006
.9977698
.9995703
.31
• 32
.895&5SO
.9513898
.9808911
.9938615,
•9984552
.9997147
.32
.33
.9161580
.9623289
.9857641
.9956084
.9989396
.9998122
.33
.34
.9331863
.9710994
.9894985-
. 99.68880
.9992787
.9998775-
.34
• 35
.9472983
.9780513
.9923295,
.9978157
•9995138
.9999207
.35
• 36
.9588546
.9834995,
.9944528
•9984816
.9996754
.9999492
.36
.37
.9682070
.9877216
.9960284
.9989548
.9997853
.9999677
.37
.38
.9756880
.9909570
.9971852
.9992876
.9998593
•9999797
.38
.39
.9816027
.9934088
.9980254
.9995193
.9999087
.9999873
.39
.40
.9862252
.9952462
.9986291
.9996789
•9999414
.9999922
.40
.41
.9897962
.9966077
.9990582
.9997877
.9999627
.9999952
.41
.42
.9925231
.9976053
.9993599
.9998612
.9999765,
.9999971
.42
.43
.9945813
.9983280
.9995696
.9999102
.9999854
.9999983
• 43
.44
.9961166
.9988456
•9997139
.9999425,
.9999910
.9999990
.44
.45
>1 r
.9972484
.9992119
.9998119
.9999636
.9999945,
.9999994
.45
/*
.46
.9980729
•9994683
.9998778
.9999772
.9999967
.9999997
.46
• 47
I. n
.9986662
•9996455-
.9999215,
.9999859
.9999980
.9999998
.47
1, 0
.48
.9990880
.9997665-
.9999502
.9999914
.9999988
.9999999
.48
• 49
•9993841
•9998481
.9999688
•9999948
•9999993
.9999999
.49
• 50
.9995893
•9999024
.9999807
.9999969
.9999996
1.0000000
.50
293
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=34 r= 2
n=34 r = 1
n=35 r=32
-n=35 r=31
n=35 r=30
n =35 r =*29
p
.01
.0454184
.2894468
.0000000
.0000000
.0000000
.0000000
.01
.02
.1477469
.4968626
.0000000
.0000000
.0000000
.0000000
.02
.03
.2716832
.6449913
.0000000
.0000000
.0000000
.0000000
.03
.04
.3968315-
.7504130
.0000000
.0000000
.0000000
.0000000
.04
.03
.5123313
.8251754
.0000000
.0000000
.0000000
.0000000
.05
.06
.6132455-
.8780036
.O'OOOOOO
.0000000
.0000000
.0000000
.06
.07
.6981680
.9151952
.0000000
.0000000
.0000000
.0000000
.07
.08
.7676730
.9412800
.0000000
.0000000
.0000000
.0000000
.08
.09
.8233326
•9595044
.0000000
.Q000000
.0000000
.0000000
.09
.10
.8671164
.9721872
.0000000
.0000000
.0000000
.0000000
.10
.11
.9010419
.9809778
.0000000
.Q000000
.0000000
.0000000
.11
.12
.9269854
.9870458
.0000000
.0000000
.0000000
.0000000
.12
.13
.9465939
.9912168
.0000000
.0000000
.0000000
.0000000
.13
.14
.9612577
.9940715-
.0000000
.0000000
.0000000
.0000000
.14
.15
.9721169
.9960167
.0000000
.0000000
.0000000
.0000000
.15
• 16
.9800852
.9973362
.0000000
.0000000
.0000000
.0000000
.16
.17
.9858818
.9982272
.0000000
.0000000
.0000000
.0000000
.17
.18
.9900639
.9988260
.0000000
.0000000
.0000000
.0000000
.18
.19
.9930571
.9992264
.0000000
.0000000
.0000000
. 0000000
.19
.20
*9951829
.9994929
.0000000
.0000000
.0000000
.0000000
.20
.21
.9966813
.9996694
.0000000
.0000000
.0000000
.0000000
.21
.22
.9977296
.9997856
.0000000
.0000000
.0000000
.0000000
.22
.9984576
.9998617
.0000000
.0000000
.0000000
. 0000000
.23
.24
.9989596
.9999114
.0000000
.0000000
.0000000
.0000000
.24
.25
.9993031
.9999435-
.0000000
.0000000
.0000000
.0000000
.25
.26
.9995365,
•9999642
.0000000
.0000000
.0000000
.0000000
• 26
.27
.9996940
.9999775-
.0000000
.0000000
.0000000
. 0000000
•27
.28
.9997994
.9999859
.0000000
.0000000
.0000000
.0000000
.28
.29
.9998695,
.9999912
.0000000
.0000000
.0000000
.0000000
.29
.30
.9999157
•9999946
.0000000
.0000000
.0000000
.0000000
.30
.31
.9999460
.9999967
.0000000
.0000000
.0000000
.0000000
.31
.32
.9999657
.9999980
.0000000
.0000000
.0000000
. 0000000
.32
. 33
.9999783
.9999988
.0000000
.0000000
.0000000
. 0000000
.33
.34
•9999864
•9999993
.0000000
.0000000
.0000000
. 0000000
.34
.35
.9999916
.9999996
.0000000
.0000000
.0000000
.0000000
.35
• 36
.9999948
•9999997
.0000000
.0000000
.0000000
.0000000
.36
.37
.9999968
.9999998
.0000000
.0000000
.0000000
.0000000
.37
.38
.9999981
•9999999
.OQOCOOO
.0000000
.0000000
.0000001
.38
.39
.9999989
•9999999
.0000000
..0000000
.0000000
.0000001
.39
.40
•9999993
1.0000000
.0000000
.0000000
.0000000
.0000003
.40
.41
.9999996
1.0000000
.0000000
.0000000
.0000001
.0000005-
.41
.42
.9999998
1.0000000
.0000000
.0000000
.0000001
.0000009
.42
.43
•9999999
1.0000000
.0000000
.0000000
.0000002
.0000015,
.43
.44
•9999999
1.0000000
.0000000
.000000]
.0000004
.0000027
.44
.45
1.0000000
1.0000000
,0000000
.0000001
.0000007
.0000047
.45
.46
1.0000000
1.0000000
.0000000
.0000002
.0000013
.0000080
.46
.47
1.0000000
1.0000000
.0000000
.0000003
.0000023
.0000134
.47
.48
1.0000000
1.0000000
.0000001
.0000006
.0000039
.0000222
.48
.49
1.0000000
1.0000000
.0000001
.0000010
.0000067
.0000363
.49
• 50
1.0000000
1.0000000
.0000002
.0000017
.0000112
.0000584
.50
294
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
ST
V " 8
p
n=35 r=28
n=35 r=27
n=35 r =26
n=35 r=25
n =35 r= 24 -
n =35 r =23
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
. 0000000
.‘18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.'19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
. 0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000002
.0000030
.26
.27
.0000000
.0000000
.0000000
.0000001
.0000004
.0000019
.27
.28
.0000000
.0000000
.0000000
.0000001
.0000007
.0000038
.28
.29
.0000000
.0000000
.0000000
.0000003
.0000015-
.0000074
.29
.30
.0000000
.0000000
.0000002
.0000005,
.0000029
.0000137
.30
.31
.0000000
.0000001
.0000004
.0000010
.0000054
.0000249
.31
.32
.0000000
.0000000
.0000001
.0000020
.0000100
.0000439
.32
• 33
.0000000
.0000001
.0000007
.0000038
.0000179
. 0000755 -
.33
.34
.0000000
.0000002
.0000013
.0000069
.0000315-
.0001270
.34
.35
.0000001
.0000004
.0000025-
.0000124
.0000540
.0002089
.35
.36
.0000001
.0000008
. 0000045 ,
.0000216
.0000908
.0003365,
.36
.37
.0000002
.0000015,
.0000081
.0000371
.0001493
.0005313
.37
.38
.0000005-
.0000028
.0000141
.0000623
.0002407
.0008230
.38
.39
.0000009
.0000050-
.0000242
.0001025,
.0003809
.0012515,
.39
.40
.0000016
.0000087
.0000408
.0001658
.0005918
.0018700
.40
.41
.0000029
.0000150,
.0000673
.0002632
.0009038
.0027473
.41
.42
.0000050,
.0000253
.0001093
.0004103
.0013572
.0039710
.42
.43
.0000087
.0000420
.0001744
.0006307
.0020055,
.0056503
.43
.44
.0000148
.0000685
.0002738
.0009530
.0029178
.0079189
.44
.45
.0000246
.0001100
.0004231
. 0014-180
. 0041815 -
.0109367
.45
.46
. 0000405 -
.0001739
.0006439
.0020785-
.0059057
. 0148915 ,
.46
.47
.0000655-
.0002709
.0009657
.0030029
.0082239
.0199989
.47
.48
.0001044
.0004157
,0014277
.0042779
.0112957
.0265008
.48
.49
.0001640
.0006291
.0020815,
.0060118
.0153090
.0346622
.49
.50
.0002541
.0009391
.0029941
.0033369
.0204798
.0447655
.50
832939 0 - 50 - 20
295
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-35 r-22
n=35 r=21
n=35 r=20
n-35 r=19
n=35 r-l8
n-35 r=17
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.OOOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
. 0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
,0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
. 0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
. 0000000
.0000000
.0000000
. 0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.12
.13
.0000000
.0000000
.00000.00
.0000000
.0000001
.0000004
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.14
.15
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000029
.15
.16
.0000000
.0000000
.0000000
.0000002
.0000013
.0000071
.16
.17
.0000000
.0000000
.0000001
.0000006
.0000033
.0000164
.17
.18
.0000000
.0000000
.0000003
.0000015-
.0000076
.0000354
.'18
.19
.0000000
.0000001
.0000006
.0000034
.0000165,
.0000725,
.19
.20
.0000000
.0000003
.0000015-
.0000074
.0000342
.0001414
.20
.21
.0000001
.0000006
.0000032
.0000156
.0000677
.0002635-
.21
.22
.0000002
.0000013
.0000069
.0000313
.0001281
.0004715-
.22
•23
.0000003
.0000029
.0000139
.0000602
.0002333
.0008128
.23
.24
.0000012
.0000060
.0000273
.0001115-
.0004097
.0013539
.24
.25
.0000024
.0000118
,0000513
.0001993
.0006957
.0021847
.25
.26
.0000049
.0000227
.0000934
.0003450-
.0011453
.0034233
.26
.27
.0000096
.0000420
.0001646
.0005792
.0018320
.0052190
• 2 Z
.28
.0000180
.0000754
.0002818
.0009453
.0028522
.0077555,
.28
.29
.0000330
.0001315-
.0004691
.0015024
.0043297
.0112519
.29
.30
.0000586
►0002232
.0007609
.0023290
.0064185,
.0159608
.30
.31
.0001014
.0003693
.0012041
.0035267
.0093046
.0221651
.31
.32
.0001712
.0005966
.0018620
.0052234
.01320*65,
.0301707
.32
.33
.0002823
.0009419
.0028170
•0075756
.0183736
.0402970
.33
.34
.0004549
.0014553
.0041739
.0107705-
.0250822
.0528637
.34
.35
.0007177
.0022026
.0060633
.0150258
.0336284
.0681762
.35
.36
.0011095,
,0032690
.0086438
.0205876
.0443193
.0865089
.36
.37
•00]6323
.0047610
.0121027
.0277270
.0574603
.1080873
.37
.38
.0025038
.0068132,
.0166568
•0367327
•0733416
.1330719
.38
.39
.0036608
.0095826
.0225499
.0479026
.0922219
.1615419
.39
.40
.0052621
.0132579
.0300489
.0615320
.1143126
.1934835-
.40
.41
.0074409
.0180547
.0394375,
.0779006
.1397616
.2287810
.41
.42
• 01035.71
.0242153
.0510078
.0972569
.1686385-
.2672131
.42
.43
f 0141983
.0320043
.0650489
.1198030
.2009230
.3084342
.43
.44
.0191802
.0417028
.0818341
.1456792
.2364963
.3520817
.44
.45
.0255442
.0535999
.1016063
.1749494
.2751370
.3975886
.45
• 46
•0335543
.0679820
.1245631
.2075897
.3165224
.4443098
.46
.47
.0434912
.0851203
.1508413
•2434798
.360234*5-
.4918940
.47
.48
.0556440
.1052567
.1805027
.2823983
.4057719
.5394266
.48
.49
.0703001
.1285882
.2135225-
.3240236
.4525657
.5863545,
.49
.50
.0877326
•1552523
.2497799
.3679394
.5000000
.6320606
.50
296
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V * 8
n-35 r-16
n-35 r-15
n=35 r-14
n=35 r=13
n=35 r=12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.6000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000000
.0000000
.0000000
.0000003
.0000025,
.0000000
.0000000
.0000002
.0000015-
.0000099
.0000000
.0000001
.0000008
.0000056
.0000325-
.0000001
.0000005-
.0000030
.0000175,
.0000915-
.0000002
.0000016
.0000092
.0000484
.0002279
.0000008
.0000047
.0000250-
.0001199
.0005131
.0000023
.0000126
.0000616
.0002705-
.0010605,
.0000061
.0000309
.0001394
.0005639
.0020376
.0000151
.0000702
.0002933
.0010979
.0036750,
.0000344
.0001490
.0005785,
.0020136
.0062722
.0000737
.0002.975,
.0010781
.0035032
.0101957
.0001490
.0005630
.0019101
.0058152
.0158703
.0002862
.0010150,
.0032343
.0092551
.0237629
.0005248
.0017519
.0052577
.0141816
.0343574
.0009226
.0029061
.0082360
.0209955-
.0481258
.0015606
.0046498
.0124730
.0301237
.0654948
.0025485,
.0071973
.0183140
.0419974
.0868122
.0040291
.0108062
.0261356
.0570265-
.1123168
.0061816
.0157742
.0363296
.0755719
.1421130
.0092242
.0224324
.0492842
.0979178
,1761546
.0134125,
.0311349
.0653607
.1242474
.2142370
.0190370
.0422445-
.0848706
.1546223
.2560006
.0264152
.0561144
.1080515
.1889692
.3009437
.0358822
.0736690
.1350468
.2270746
.3484446
.0477767
•0933821
.1658883
.2685876
.3977900
.0624250.
.1172573
.2004848
.3130312
.4482092
.0801226
.1448091
.2386185-
.3598213
.4989091
1011157
.1760483
• 2799465-
.4082913
.5491095-
.1255827
.2108723
.3240116
.4577217
.5980758
.1536174
.2490607
.3702585,
.5073712
.6451463
.1852161
.2902780
.4180560
.5565083
.68975^5-
.2202682
.3340823
.4667228
.6044405-
.7314433
.2585524
•3799400
.5155562
.6505401
•7698737
•2997392
.4272459
.5638604
.6942650,
.8048255-
•3433978
.4753470
.6109741
.7351737
.8361929
.3390107
.5235682
.6562949
.7729355-
.8639744
.4359911
.5712396
.6992988
.8073233
.8882598
.4637053
.6177221
•7395555,
.8382305,
.9092141
•5314975,
.6624308
.7767376
.8656429
.9270605,
.5787150,
.7043545-
.8106236
.8896370
.9420636
.6247330
.7445708
.3410967
.9103638
.9545127
.6689779
.7312557
.8681373
.9280330
.9647082
•7109462
.8146878
.8918136
.9428968
.9729485-
.7502201
.84 47477
.9122674
'9552345-
.9795202
n=35 r=ll
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
,22
.23
.24
.25
• 26
.27
.28
.29
.30
.31
.32
• 33
.34
.35
.36
.37
.38
.39
.4o
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
.0000000
.0000000
.0000000
.0000001
.0000007
.0000059
.0000170
.0000584
.0001686
.0004243
.0009541
.0019551
.0037042
.0065639
.0109768
.0174510
.0265531
.0387738
.0546873
.0747090
.0991568
.1281982
.1618284
.1998597
,2419248
,2874916
.3358896
.3863442
.4380160
,4900429
,5415798
.5918358
.6401042
.6857860
.7284045,
.7676131
.8031937
.8350508
.8631987
.8877459
.9088774
.9268360
.9419038
.9543855-
.9645935,
.9728357
.9794052
.9845740
.9885876
.9916631
.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
.11
.12
.13
.14
.15
• 16
•17
.18
.19
.20
.21
.22
.23
.24
.25
• 26
:3
.29
.30
.31
.32
.33
.34
.35
.36
.37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50
297
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
ST
V s
p
n=35 r=10
n<35 r= 9
n=3.5 r= 8
n=35 r= 7
n=35 r- 6
n=35 r* 5
P
.01
.0000000
.0000000
.0000000
.0000001
.0000013
.0000253
.01
.02
.0000000
.0000000
.0000004
.0000053
.0000631
.0006297
.02
.03
.0000001
.0000007
.0000075-
.0000701
.0005593
.0037227
.03
.04
.0000008
.0000072
.0000584
.0004097
.0024448
.0122133
.04
.03
.0000056
.0000420
.0002721
.0015216
.0072517
.0290263
.05
.06
.0000276
.0001700
.0009137
.0042425,
.0168311
.0562753
.06
.07
.0001015-
.0005333
.0024456
.0097044
-0329830
.0948373
.07
.08
.0003035,
.0013878
.0055442
.0192011
.0571106
.1443025-
.08
.09
.0007744
.0031300
.OIIO694
.0340054
.0899833
.2031831
.09
.10
.0017422
.0063042
.0199902
.0551829
.1316358
.2692510
.10
.11
.0035394
.0115844
.0332814
.0834383
.1813935,
•3399029
.11
.12
.0066078
.0197307
.0518090
.1190207
.2379931
.4124860
.12
.13
.0114889
.0315263
.0762251
.1616931
.2997569
.4845500-
.13
.14
.0187978
.0477021
.1068871
.2107629
•3647855,
•5540134
.14
.15
.0291826
.0688619
.1438117
.2651590
.4311397
.6192513
.15
• 16
.0432739
.0954164
.1866658
•3235399
.4969924
.6791175-
.16
.17
.0616297
.1275352
.2347931
.3844133
.5607406
.7329190
.17
.18
.0846825,
.1651209
.2872681
.4462533
.6210761
.7803591
.18
.19
.1126949
.2078087
.3429704
.5076035-
.6770172
.8214646
.19
.20
.1457279
.2549876
.4006673
.5671583
.7279083
.8565083
.20
.21
.1836252
.3058413
.4590965-
.6238198
.7733961
.8859344
.21
.22
.2260156
.3594028
•5170423
.6767291
.8133889
.9102932
.22
.23
.2723305-
.4146157
•5733979
.7252764
.8480089
.9301862
.23
.24
.3218362
.4703973
.6272118
.7690916
.8775400
.9462239
.24
.25
•3736763
.5256973
.6777182
.8080219
.9023798
.9539945-
.25
• 26
.4269197
.5795431
.7243495-
.8421000
.9229949
.9690428
• 26
.27
.4806111
.6311050-
.7667353
.8715079
.9398844
.9768583
.27
.28
.5338186
.6796724
.8046899
.8965396
.9535497
.9828692
.28
.29
.5856759
.7247191
.83819^1
.9175656
.9644730
.9874415-
.29
.30
.6354171
.7658812
.8673533
•9350013
.9731019
.9908822
.30
.31
.6824011
.8029552
.8923986
.9492797
.9798398
.9934440
.31
.32
.7261267
.8358837
.9136282
.9608303
.9850416
•9953315-
.32
• 33
.7662386
.8647351
.9313944
.9700625
.9890128
.9967077
.33
.34
.8025238
.8896809
.9460768
•9773551
.9920109
.9977008
.34
.35
.8349018
.9109712
.9580618
.9830487
.9942497
.9984101
.35
.36
.8634093
.9289109
.9677267
.9874427
•9959032
.9939114
.36
.37
.8881812
,9438383
.9754274
•9907951
.9971112
.9992621
.37
.38
.9094301
.9561054
.9814902
.9933237
• 9979841
•9995049
.38
.39
.9274254
.9660628
.9862071
.9952093
.9986080
.9996712
.39
.40
.9424733
.9740468
.9898336
,9965993
•9990490
.9997839
.40
.41
.9548991
.9803708
.9925889
.9976124
• 9993573
.9998595-
.41
.42
.9650319
.9853191
.9946576
.9983422
• 9995704
.9999096
.42
.43
.9731919
.9891438
.9961924
.9988619
• 9997161
•9999425,
.43
.44
.9796815-
.9920641
.9973173
.9992276
.9998145-
•9999638
.44
.45
;9847780
.9942664
.9981320
•9994819
.9998802
•9939775,
.45
.46
.9887302
.9959066
.9987148
.9996566
.9999235,
• 9999862
.46
.47
.9917562
.9971129
.9991265-
•9997752
.9999518
.9999916
.47
.48
.9940433
.9979889
.9994137
.9998547
.9999700
.9999950-
.48
.49
.9957497
.9986167
.9996114
.9999072
• 9999816
•9999970
.49
• 50
.9970059
.9990609
.9997459
•9999416
.9999888
.9999983
.50
298
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-s
q
p
n*35 r = 4
n=35 r» 3
n=35 r= 2
n=35 r= 1
n=36 r-33
11*36 r-32
p
.01
.0004087
.0051537
.0478587
.2965523
.0000000
.0000000
.01
.02
.0051082
.0325387
.1547292
.5069254
.0000000
.0000000
.02
.03
.0202198
.0868957
.2828825-
.6556416
.0000000
.0000000
.03
.04
.0500269
.1634676
.4109747
.7603965,
.0000000
.0000000
.04
.03
.0957548
.2542350-
•5279735,
.8339166
.0000000
.0000000
.05
.06
.1559462
.35113*49
.6291309
.8853234
.0000000
.0000000
.06
.07
.2273822
.4475015,
•7133599
.9211316
.0000000
.0000000
.07
.08
.3060294
.5385118
.7815616
.9459776
.0000000
.0000000
.08
.09
.3877921
.6211174
.8355881
. 9631490
.0000000
.0000000
.09
.10
.4690151
.6937497
.8776235,
.9749684
.0000000
.0000000
.10
.11
•5467553
•7559583
.9098349
.9830703
.0000000
.0000000
.11
.12
.6186754
.8080657
.9341926
.9886003
.0000000
.0000000
.12
.13
.6840x64
.8508778
.9523949
.9923586
.0000000
.0000000
.13
.14
.7414972
.8854580
.9658516
.9949015-
.0000000
.0000000
.14
.15
.7911811
.9129648
.9757018
.9966142
.0000000
.0000000
.15
• 16
.8333363
.9345424
.9828454
.9977624
.0000000
.0000000
.16
.17
.8635054
.9512530
.9879805,
.9985286
.0000000
.0000000
.17
.18
.8973950-
.9640404
.9916411
•9990373
.0000000
.0000000
.’18
.19
.9207876
.9737163
.9942293
•9993734
.0000000
.0000000
.19
.20
.9394760
.9809599
.9960449
.9995944
.0000000
.0000000
.20
.21
.9542180
.9863276
.9973088
•9997338
.0000000
.0000000
.21
.22
.9657076
.9902663
.9981819
.9993328
.0000000
.0000000
.22
.23
.9745597
.9931290
.9987806
.9998935,
.0000000
.0000000
.23
.24
.9813045-
.9951905,
.9991880
•9999326
.0000000
.0000000
.24
.25
.9863887
.9966615*
•9994632
.9999576
.0000000
.0000000
.25
.26
•9901814
.9977019
•9996477
•9999735,
.0000000
.0000000
.26
.27
.9929820
•9984312
.9997705,
•9999835,
.0000000
.0000000
.27
.28
•9950293
.9989379
.9998516
•9999898
.0000000
.0000000
.28
.29
.9965113
.9992870
•9999048
•9999933
.0000000
.0000000
.29
.30
•9975737
.9995254
.9999394
.9999962
.0000000
.0000000
.30
.31
.9983279
.9996868
.9999617
•9999977
.0000000
.0000000
.31
.32
.9988582
•9997950,
.9999760
• 9999936
.0000000
.0000000
.32
.33
.9992275,
.9998670
.9999851
•9999992
.0000000
.0000000
.33
.34
•9994823
•9999145,
.9999908
•9999995,
.0000000
.0000000
.34
.35
.9996562
.9999455,
.9999944
•9999997
.0000000
.0000000
.35
.36
•9997739
.9999656
.9999966
.9999998
.0000000
.0000000
.36
.37
.9998528
.9999785-
.9999980
•9999999
.0000000
.0000000
.37
.38
.9999051
.9999867
.9999988
•9999999
.0000000
.0000000
.38
.39
•9999394
.9999918
•9999993
1.0000000
.0000000
.0000000
.39
.40
.9999617
.9999950,
•9999996
l.ooooobo
.0000000
.0000000
.40
.41
.9999760
•9999970
.9999998
1.0000000
.0000000
.0000000
.41
.42
.9999852
.9999982
•9999999
1.0000000
.0000000
.0000000
.42
.43
•9999909
.9999990
•9999999
1.0000000
.0000000
.0000000
.43
.44
.9999945
.9999994
1.0000000
1.0000000
.0000000
.0000000
.44
.45
.9999967
.9999996
1.0000000
1.0000000
.0000000
.0000000
.45
.46
.9999981
•9999998
1.0000000
i.0000000
.0000000
.0000001
.46
.47
.9999989
•9999999
1.0000000
1.0000000
.0000000
.0000002
.47
.48
•9999993
•9999999
1.0000000
1.0000000
.0000000
.0000003
.48
.49
•9999996
1.0000000
1.0000000
1.0000000
.0000001
.0000005,
.49
.50
.9999998
1.0000000
1.0000000
1.0000000
.0000001
.0000010
.50
299
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n*36 r=31
n a 36 r=30
n=36 r=29
n=36 r-28
n-36 r=27
n-36 r-26
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
,0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
. OOOOO'OO
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 26
.27
.0000000
.0000000
.0000000
.0000000
.0000060
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.31
• 32
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.32
.33
.ooooooc
.0000000
.0000000
.0000000
.0000003
.0000017
.33
.34
.0000000
.0000000
.0000000
.0000001
.0000006
.0000032
.34
.35
.0000000
.0000000
.0000000
.0000002
.0000011
.0000059
.35
.36
.0000000
.0000000
.0000001
.0000004
.0000022
.0000107
.36
.37
.0000000
.0000000
.0000001
.0000007
.0000040
.0000188
.37
.38
.0000000
.0000000
.0000002
.0000014
.0000071
.0000324
.38
.39
.0000000
.0000001
.0000004
.0000025-
.0000125-
.0000548
.39
.40
.0000000
.0000001
.0000008
.0000045-
.0000215,
.0000908
.40
.41
.0000000
.0000002
.0000015-
.0000078
.0000365-
.0001476
.41
.42
.0000001
.0000004
.0000026
.0000136
.0000606
.0002359
.42
.43
.0000001
.0000008
.0000046
.0000230
.0000989
.0003706
.43
.44
.0000002
.0000014
.0000080
.0000384
.0001588
.0005727
.44
.45
.0000004
.0000025,
.0000137
.0000631
.0002509
.0008708
.45
.46
.0000007
.0000044
.0000229
.0001019
.0003901
.0013038
.46
.47
.0000012
.0000075,
.0000379
.0001620
.0005974
.0019232
.48
.0000022
.0000127
.0000617
.0002538
.0009015-
.0027958
.48
.49
.0000038
.0000212
.0000989
.0003919
.0013408
.0040074
.49
• 50
.0000065-
.0000348
.0001563
.0005966
.0019666
.0056655-
.50
L - =*
300
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
B q Il-S
p
I n *36 r =25
n -36 r =24
n =36 r -23
n -36 r =22
n =36 r -21
n -36 r =20
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
..0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
. 0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0060000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005-
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.19
.20
.0000000
.0000000
.0000000
.0000001
.0000005-
.6000026
.20
.21
.0000000
.0000000
.0000000
.0000002
.0000012
.0000658
.21
.22
.0000000
.0000000
.0000001
.0000005-
.0000026
.0000122
.22
.23
.0000000
.0000000
.0000002
.0000011
.0000054
*0000246
.23
.24
.0000000
.0000001
.0000004
.0000023
.0000111
• 0000475 -
.24
.25
.0000000
.0000002
.0000009
.0000048
.0000217
.0000883
.25
.26
.0000001
.0000004
.0000020
.0000095,
.0000411
.0001588
.26
.27
..0000001
.0000008
.0000040
.0000183
.0000751
.0002766
.27
.28
,0000003
.0000016
.0000078
.0000341
.0001332
.0004676
.28
.29
,0000006
V 0000032
.0000148
.0000615,
.0002294
.0007688
.29
.30
.0000012
.0000061
.0000272
.0001080
. 0003845 -
.0012313
.30
.31
.0000024
.0000114
.0000486
. 0001845 -
.0006281
.0019241
.31
.32
.0000046
.0000208
.0000846
.0003074
.0010015,
•0023377
.32
.33
.0000084
.0000369
.0001437
.0004999
.0015607
.0043873
.33
.34
.0000153
.0000640
.0002385-
.0007950,
.0023796
. 0.064167
.34
.35
.0000269
.0001082
.0003870
.0012374
.0035539
.0092002
.35
.36
. 0000465 ,
.0001792
.0006148
.0018869
.0052039
.0129436
.36
.37
.0000786
.0002906
.0009572
.0028217
.0074779
.0178837
.37
.38
.0001301
.0004620
.0014617
.0041413
.0105538
.0242857
.38
.39
.0002111
.0007204
.0021911
.0059703
.0146399
.0324374
.39
.40
.0003362
.0011031
.0032269
.0084604
. 0-199743
.0426421
.40
.41
.0005258
.0016596
.0046717
.0117926
.0268217
.0552074
.41
.42
.0008083
.0024550-
.0066531
.0161775,
.0354682
.0704324
.42
.43
.0012219
.0035728
.00^3260
.0218549
. 0462135 ,
.0885932
.43
.44
.0018175,
.0051183
.0128739
.0290902
.0593606
.1099259
.44
.45
.0026615,
.0072213
.0175101
.0381693
.0752028
.1346107
.45
.46
.0038390
.0100392
.0234764
.0493911
.0940093
.1627553
.46
.47
.0054567
.0137581
.0310403
.0630569
.1160092
.1943814
.47
.48
. 0076465 -
.0185941
. 0404895 ,
.0794581
.1413748
.2294126
.48
.49
.0105674
.0247920
.0521247
.0988613
.1702060
.2676680
.49
.50
.0144084
.0326227
.0662491
.1214925-
.2025161
.3088597
.50
301
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V 8
p
n=36 r=19
n=36 r=l8
n=36 r=17
n=36 r-l6
n=36 r-15
n-36 r-14
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.OCOOOOO
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0006000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000002
.0000013
• 09
.10
.0000000
.0000000
.0000000
.0000001
.0000007
.0000044
.10
.11
.0000000
.0000000
.0000001
.0000004
.0000024
.0000135-
.11
.12
.0000000
.0000000
.0000002
.0000012
.0000071
.0000364
.12
.13
.0000000
.0000001
.0000006
.0000036
.0000189
.0000887
.13
.14
.0000000
.0000003
.0000018
.0000096
.0000461
.0001989
.14
.15
.0000001
.0000009
.0000047
.0000233
.0001037
.0004140
.15
.16
.0000004
.0600023
.0000115-
.0000527
.0002177
.0008081
.16
.17
.0000010
.0600055,
.0000261
.0001117
.0004302
.0014904
.17
.18
.0000026
.0600126
.0000559
.0002235,
.0008055-
.0026130
.‘18
.19
.0000059
.0600272
.0001131
.0004247
.0014367
.0043783
.19
.20
.0000128
.0000557
.0002181
.0007702
.0024530
.0070425-
.20
.21
.0000265,
.0001088
.0004019
.0013391
.0040254
.0109155-
.21
.22
.0000526
.0002037
.0007111
.0022402
.0063709
.0163561
.22
• 23
.0001000
.0003666
.0012120
.0036177
.0097541
.0237612
.23
.24
.0001831
.0006363
.0019959
.0056556
.0144853
.0335494
.24
.25
.0003234
.0010680
.0031840
.0085798
.0209130
.0461402
.25
.26
.0005531
.0017376
.0049315,
.0126583
.0294138
.0619289
• 26
.27
.0009175-
.0027464
.0074312
.0181976
.0403759
.0812601
.27
.28
.0014792
.0042251
.0109143
.0255351
.0541798
.1044010
.28
.29
.0023223
.0663371
.0156492
.0350280
.0711762
.1315177
.29
.30
.0035559
.0092812
.0219372
.0470382
.0916623
.1626552
.30
• 3l
.0053179
.0132914
.0301047
.0619144
.1158590
.1977251
.31
• 32
.0077780
.0186351
.0404921
.0799713
.1438901
.2364997
.32
«33
.0111389
.0256083
.0534394
.1014691
.1757662
.2786154
.33
.34
.0156365-
.0345279
.0692694
.1265928
.2113737
.3235837
.34
.35
.0215367
.0457201
.0882685-
.1554341
.2504711
.3708101
.35
• 36
.0291310
.0595075,
.1106679
.1879770
.2926919
.4196191
.36
• 37
.0387283
.0761923
.1366250-
.2240890
.3375559
.4692834
.37
.38
.0506441
.0960391
.1662065-
.2635175,
.3844857
.5190555,
.38
.39
.0651871
.1192567
.1993760
.3058936
.4328303
.5681999
.39
.40
.0826443
.1459810
.2359858
.3507419
.4818917
.6160222
.4o
.41
.1032636
.1762595,
.2757739
.3974970
.5309541
.6618959
.41
.42
.1272372
.2100398
.3183681
.4455249
.5793134
.7052831
.42
.43
.1546846
.2471614
.3632950,
.4941479
.6263050,
.7457493
.43
.44
.1856387
.2873539
.4099961
.5426727
.6713288
.7829725,
.44
.45
.2200338
.3302402
.4578476
*5904175,
.7138688
.8167450-
.45
.46
.2576987
.3753460
.5061848
.6367392
.7535083
.8469698
.46
• 47
.2983545-
.4221145-
.5543284
.6810568
.7899380
.8736522
.47
.48
.3416176
.4699261
.6016112
.7228712
.8229589
.8968872
.48
.49
.3870092
.5181222
.6474044
.7617796
.8524794
.9168444
.49
• 50
.4339697
.5660303
.6911403
.7974839
.8785075,
.9337509
.50
302
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V * 8
p
n=36 r-13
n=36 r=12
n=36 r=ll
n=36 r=10
n-36 r= 9
n=36 r= 8
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000005-
.02
.03
.0000000
.0000000
.0000000
.0000001
.0000009
.0000094
.03
.04
.0000000
.0000000
.0000001
.0000010
.0000092
.0000725-
.04
.03
.0000000
.opooooi
.0000009
.0000075-
.0000535-
.0003346
.05
.06
.0000001
.0000007
.0000053
.0000361
.0002146
.0011134
.06
.07
.0000005-
.0000035,
.0000229
.0001317
.0006671
.0029537
• 07
.08
.0000022
.0000138
.0000780
.0003903
.0017203
.0066368
.08
.09
.0000080
.0000447
.0002232
.0009864
.0038446
.0131337
• 09
.10
.0000249
.0001248
.0005561
.0021984
.0076728
.0235095-
.10
.11
.0000682
.0003078
.0012385,
.0044243
.0139710
.0387987
.11
.12
.0001671
.0006862
.0025134
.0081825,
.0235801
.0598744
.12
.13
.0003732
.0014042
.0047162
.0140937
.0373371
.0873359
.13
.14
.0007702
.0026712
.0082766
.0228444
.0559880
.1214297
.14
.13
.0014845-
.0047703
.0137077
.0351345,
.0801044
.1620138
.15
.16
.0026950,
.0080608
.0215827
.0516167
.1100163
.2085657
.16
.17
.0046409
.0129730
.032*995,
.0728337
.1457690
.2602285-
.17
.18
.0076251
.0199930
.047037^
.0991615-
.1871074
.3158854
.’18
.19
.0120116
.0296385,
.0657087
.1307666
.2334895-
.3742507
.19
.20
.0182168
.0424277
.0889128
.1675798
.2841235,
.4339655-
.20
.21
.0266928
.0588423
.1168952
.2092906
.3380249
.4936884
.21
.22
.0379053
.0792896
.1497180
.2553608
i3940835.
.5521734
.22
.23
.0523048
.1040659
.1872439
.3050561
.4511356
.6083299
.23
.24
.0702962
.1333271
.2291341
.3574909
.5080328
.6612630
.24
.25
.0922071
.1670660
.2748627
.4116815,
.5637025,
.7102942
.25
.26
.1182594
.2051022
.3237429
.4666031
.6171965-
.7549646
• 26
.27
.1485446
.2470832
.3749644
.5212444
.6677252
.7950239
.27
.28
.1830082
.2924968
.4276370
.5746576
.7146773
.8304078
.28
.29
.2214418
.3406947
.4808374
.6259985-
.7576260
.8612097
.29
.30
.2634856
.3909241
.5336552
.6745564
.7963228
.8876477
.30
.31
.3o864o4
.4423649
.5852344
.7197729
.8306827
.9100318
.31
.32
.3562882
.4941697
.6348089
.7612490
.8607619
.9287329
.32
.33
.4057202
.5455035-
.6817286
.7987425-
.8867327
.9441549
.33
.34
.4561695-
•5955795-
.7254768
.8321572
.9088555,
.9567114
.34
.35
.5068456
.6436908
.7656786
.8615261
.9274529
.9668072
.35
.36
.5569703
.6892343
.8020997
.8869899
.'9428846
•9748245-
.36
.37
.6058094
.7317270
.8346391
.9087743
•9555263
.9811135-
.37
.38
.6527015,
.7708141
.8633150-
.9271667
.9657516
.9859869
.38
.39
.6970802
.8062704
.8882471
.9424940
.9739191
.9897179
.39
.40
.7384892
.8379936
.9096368
.9551027
.9803615,
.9925399
.40
.41
.7765916
.8659935,
.9277463
.9653425-
.9853802
.9946485,
.41
.42
.8111707
.8903763
.9428782
.9735525-
.9892413
.9962051
.42
.43
.8421260
.9113267
.9553577
.9800512
.9921747
.9973403
.43
.44
.8694633
.9290895,
.9655157
.9851298
.9943755,
.9981579
.44
.45
.8932808
.9439504
.9736765,
.9890478
.9960059
.9987395-
.45
.46
.9137532
-9562187
.•9801472
.99203-13
.9971984
.9991480
.46
.47
.9311138
.9662122
.9852102
.9942738
.9980593
.9994314
.47
.48
.9456371
.9742438
.9891193
.9959372
.9986728
.9996254
.48
.49
.9576221
.9806116
.9920970
.9971545,
.9991041
.9997564
.49
.50
.9673773
.9855916
.9943345,
.9980334
•9994034
-9998437
.50
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
ST
s q n-s
p
n=36 r- 7
n=36 r- 6
ir\
11
VO
00
it
n
n=36 r- 4
n=36 r= 3
n=36 r= 2
p
.01
.0000001
.0000015,
.0000291
.0004562
.0055808
.0503456
.01
.02
.0000064
.0000744
.0007193
.0056568
.0349825,
.1617731
.02
.03
.0000848
.0006542
.0042176
.0222201
.0927753
.2940653
.03
.04
.0004911
.0028355,
.0137259
.0545645,
.1733679
.4249516
.04
.03
.0018081
.0083404
.0323627
.1036788
.2679219
.5432707
.05
.06
.0049979
.0191978
.0622556
.1676575-
.3678146
.6445025-
.06
.07
.0113339
.0373128
.1041154
.2427906
.4661116
.7279039
.07
.08
.0222338
.0640859
.1572406
.3246280
.5579558
.7947148
.08
.09
.0390434
.1001713
.2197979
.4087914
.6404197
.8470685,
.09
.10
.0628281
.1453973
.2892274
.4914886
.7121371
.8873580
.10
.11
.0942133
.1988295,
.3626566
.5697676
.7728847
.9178908
.11
.12
.1332974
.2589323
.4372527
.6415783
.-8232010
.9407215,
.12
.13
..1796414
.3237800
.5104806
.7057084
.8640750,
.9575901
.13
.14
.. 2323260
.3912774
.5802611
.7616517
.8967131
.9699186
.14
.15
.2900561
.4593565-
.6450407
.8094487
.9223754
.9788387
.15
• 16
.3512923
.5260324
.7037925,
.8495293
.9422709
.9852321
.16
.17
.4143889
.5900109
•7559687
.8825725-
.9574967
.9897737
.17
.18
.4777214
.6497470
.8014256
.9093912
.9690085,
.9929724
.18
.19
.5397921
.7044622
.8403360
.9308440
.9776137
.9952067
.19
.20
.5993083
.7536283
.8731018
.9477728
.9839769
.9967548
.20
.21
.6552308
.7970291
.9002740
.9609611
.9886337
.9978191
.21
.22
,7067943
.8347079
.9224844
.9711105,
.9920078
.9985451
.22
.23
.7535049
.8669097
•9403921
.9788307
.9944289
.9990366
.23
.24
.7951192
.8940241
•9546433
.9846371
.9961499
.9993667
.24
.25
.8316114
.9165335-
.9658430
.9889569
.9973619
.9995868
.25
.26
.8631327
.9349674
.9745388
.9921367
.9982078
.9997324
• 26
.27
.8899695,
.9498673
.9812117
.9944533
.9987928
.9998280
.27
.28
.9125024
.9617591
.9862740
.9961237
.9991938
.9998903
.28
.29
.9311688
.9711339
.9900717
.9973163
.9994662
.9999306
.29
.30
.9464315-
.9784360
.9928896
.9981592
.9996496
.9999564
.30
.31
.9587533
.•9840571
.9949580
.9987492
.9997720
.9999729
.31
.32
.9685779
.9883344
.9964600
.9991580
.9998529
.9999832
.32
. 33
.9763161
.9915521
.9975392
.9994386
.9999060
.9999897
.33
.34
.9823381
-9939455-
.9983065-
.9996292
•9999405-
•9999938
.34
.35
.9869690
.9957058
•9988462
.9997575-
.9999626
.9999962
.35
.36
.9904885-
.9969861
.9992219
.9998429
.9999768
.9999978
.36
.37
•9931321
.9979070
.9994806
.9998993
.9999857
.9999987
.37
.38
.9950947
.9985620
.9996569
•9999361
•9999913
.9999992
.38
.39
.9965348
.9990226
•9997758
.9999598
.9999947
.9999996
.39
.40
-9975792
.9993430
.9998550,
•9999750,
.9999969
.9999997
.40
.41
.9983278
.9995632
.9999073
.9999846
.9999981
•9999999
.41
.42
.9988581
.9997129
.9999414
.9999907
.9999989
.9999999
.42
.43
.9992292
.9998134
.9999633
.9999944
.9999994
1.0000000
.43
.44
.9994858
.9998802
•9999773
.9999967
.9999996
1 .0000000
.44
.45
.9996611
•9999240
.9999862
.9999980
.9999998
1.0000000
.45
.46
.9997794
•9999524
•9999917
.9999989
•9999999
1.0000000
.46
.47
.9998582
.9999705,
•9999950,
•9999993
.9999999
1.0000000
.47
.48
•9999100
.9999820
•9999971
.9999996
1.0000000
1.0000000
.48
.49
.9999437
.9999891
•9999983
.9999998
1.0000000
1.0000000
.49
• 50
.9999652
.9999935,
•9999990
.9999999
1.0000000
1.0000000
.50
304
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 q n - 8
p
n=36 r= 1
n=37 r=34
n=37 r=33
n=37 r=32
n=37 r=3l
n«37 r=30
p
.01
.3035868
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.5167869
.0000000
.0000000
• .0000000
.0000000
.0000000
.02
.03
.6659723
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.7699806
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.8422208
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.8922040
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.9266524
.0000000
.0000000
.0000000
.0000000
.0000O00
.07
.08
.9502994
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.9664656
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.9774716
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
•9849325,
. 0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.9899683
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.9933520
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.9956153
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.9971221
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.9981204
. 0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.9987787
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.9992106
.0000000
.0000000
.0000000
.0000000
.0000000
.'18
.19
.9994925-
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.9996755-
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.9997937
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.9998696
. 0000000
.OOODOOO
.0000000
.0000000
.0000000
.22
.23
.9999180
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
•9999488
.0 100000
.0000000
.0000000
.0000000
.0000000
.24
.25
.9999682
.0000000
.0000000
.0000000
.0006000
.0000000
.25
• 26
.9999804
.0000000
.0000000
.0000000
.0000000
.0000000
• 26
.27
.9999880
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.9999927
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.9999956
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.9999973
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
•9999984
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.9999991
. 0000000
.0000000
.0000000
.0000000
.0000000
.32
• 33
•9999995-
.0000000
.0000000
.0000000
.0000000
.0000000
.33
.34
•9999997
.0000000
.0000000
.0000000
.0000000
.0000000
.34
.35
.9999998
.0000000
.0000000
.0000000
.0000000
.0000000
.35
.36
.9999999
.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
•9999999
.0000000
.0000000
.0000000
. OOOOOO'O
.0000001
.37
.38
1.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.38
.39
1.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.39
.40
1.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.40
.41
1.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.41
.42
1.0000000
. 0000000
.0000000
.0000000
.0000002
.0000013
.42
.43
1.0000000
.0000000
.0000000
.0000001
.0000004
.0000024
.43
.44
1.0000000
.0000000
.0000000
.0000001
.0000007
.0000043
.44
.45
1.0000000
. 0OQ0000
.0000000
.0000002
.oooo
.0002377
.0007814
.0023309
• 0063155-
.0155523
.25
.26
.0001210
.0004173
.0013049
.0037049
.0095598
. 0224365 ,
.26
.27
.0002159
.0007093
.0021133
.0057196
.0140770
. 0315375 ,
.27
.28
. 0003735 ,
.0011701
.0033261
.0085929
.0202014
.0432677
.28
.29
.0006275,
.0018768
.0050964
.0125848
.0282992
.0580286
.29
.30
.0010256
.0029321
.0076148
.0179949
.0387549
.0761859
.30
.31
.0016333
.0044684
.0111109
.0251568
.0519539
.0980433
.31
.32
.0025380
.0066516
.0158529
.0344281
.0682614
.1238173
.32
.33
.0038537
.0096838
.0221438
.0461765-
.0879995,
. 1536145 ,
.33
.34
.0057240
.0138042
.0303149
.0607626
.1114234
.1874146
.34
.35
.0083258
.0192870
.0407148
.0785196
.1386986
.2250595-
.35
.36
.0118713
.0264374
.0536957
.0997319
.1698823
.2662505-
.36
.37
.0166073
.0355839
.0695961
.1246131
.2049082
.3105544
.37
.38
.0228133
.0470669
.0887214
.1532858
.2435790
.3574174
.38
.39
.0307962
.0612249
»1113235,
*1857649
.2855655-
.4061869
.39
.4o
.0408820
.0783774
* 1375805,
*2219450,
*3304136
.4561386
.4o
.41
.0534046
.0988059
*1675780
.2615946
.3775593
.5065090
.41
.42
.0686908
.1227344
*2012941
.3043569
.4263496
.5565280
.42
.43
.0870443
.1503105-
*2385888
*3497579
.4760697
.6054524
.43
.44
.1087266
.1815872
*2791995,
.3972217
.5259731
.6525965-
.44
.45
.1339380
.2165101
*3227433
;4460918
.5753140
.6973572
.45
.46
.1627990
.2549074
.3687255,
. 4956575 ,
.6233779
.7392349
.46
.47
.1953343
.-2964870
.4165563
.5451838
,6695106
.7778457
.47
.48
.2314592
.3408397
.4655718
•5939419
.7131427
.8129283
.48
.49
.2709720
.3874488
.5150604
.6412396
.7538076
.8443424
.49
.50
.3135513
.4357073
.5642927
.6864487
.7911539
.8720625-
.50
313
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n -s
p
n=38 r«15
n=38 r=l4
n=38 r-13
n=38 r=12
n=38 r=ll
n=38 r=10
P
.01
.0000,000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000.000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.03
.04
.000Q000
.0000000
.0000000
.0000000
.0000002
.0000018
.04
.05
.0000000
. 000(7000
.0000000
.0000002
.0000017
.0000126
.05
.06
.0000000
.0000000
.0000002
.0000013
.0000096
.0000601
.06
.07
.0000000
.0000001
.0000010
.0000067
.0000402
.0002152
.07
.08
.0000001
.0000007
.0000044
.0000857
.0001345-
.0006260
.08
.09
.0000004
.0000027
.0000157
.0000816
.0003775,
.0015530
.09
.10
.0000016
.0000093
.0000482
.0002231
.0009229
.0033969
.10
.11
.0000054
.0000278
.0001293
.0005399
.0020164
.0067095-
.11
.12
.0000156
.0000733
.0003105-
.0011800
.0040141
.0121788
.12
.13
.0000407
.0001753
.0006798
.0023678
.0073887
.0205892
.13
.14
.0000971
.0003849
.0013751
.0044164
.0127197
.0327576
.14
.15
.0002139
.0007850-
.0025974
.0077325,
.02o6655-
.0494566
.15
• 16
.0004398
.0015010
.0046209
.0128105,
.0319197
.0713324
.16
.17
.0008511
.0027113
.0077974
.0202134
.0471553
.0988317
• 17
.18
.0015600
.0046557
.0125531
.0305415,
.0669627
.1321450-
.18
.19
.0027239
.0076397
.0193756
.0443916
.0917904
.1711744
.19
.20
.004-5522
.0120336
.0287921
.0623090
.1218947
.2155292
.20
.21
.0073111
.0182640
.0413380
.0847390
.1573038
.2645466
.21
.22
.0113241
. 0267978
.0575201
.1119825-
.1978019
.3173361
.22
.23
.0169664
.0381194
.0777769
.1441599
.2429328
.3728406
.23
.24
.0246546
.0527018
.1024389
.1811893
.2920232
.4299058
.24
.25
.0348291
.0709732
.1316952
.2227782
.3442222
.4873527
.25*
.26
.0479316
.0932834
.1655672
.2684326
.3985530
.5440447
.26
.27
.0643779
.1198722
.2038945,
.3174803
.4539703
.5989457
.27
.28
.0845292
.1508422
.2463329
.3691067
.5094197
.6511644
.28
.29
.1086622
.1861402
.2923653
.4223995,
.5638926
.6999839
.29
.30
.1369434
.2255482
.3413250,
.4763980
.6164738
.7448765-
.30
.31
.1694076
.2686845,
.3924284
.5301434
.6663775,
.7855040
.31
.32
.2059434
.3150171
.4448148
.5827248
,7129732
.8217074
.32
*33
.2462881
.3638853
.49.75897
.6333199
-7557971
.8534871
.33
.34
.2900320
.4145309
. 54.98686
.6812258
.7945536
.8809779
.34
.35
-.3366312
.4661342
.6008172
.7253801
.8291065,
.9044197
.35
• 36
.3854305-
.5178527
.6496863
.7668718
.8594628
.9241295,
.36
.37
.4356911
.5688603
.6958390
.8039424
.8857504
•9404733
.37
.38
.4866254
.6183835-
.7387688
.8369778
.9081938
.9538416
.38
.39
.5374316
.6657317
.7781094
.8659945,
.9270885-
•9646288
.39
.40
.5873300
.7103218
.8136350-
.8911198
.9427764
.9732169
.40
.41
.6355954
.7516945-
.8452533
.9125701
.9556236
.9799631
.41
.42
.6815854
.7895219
.8729928
.9306275,
.9660012
.9851920
.42
.43
.7247619
.8236084
.8969847
.9456178
.9742699
.9891909
.43
.44
•7647057
.8538834
.9174428
.9578897
.9807688
.9922083
.44
.45
.8011234
.8803893
.9346424
.9677971
.9858070
.9944546
.45
.46
.8338478
.9032649
.9488990
,9756843
.9896592
.9961042
.46
.47
.8628301
.9227261
.9605497
.9818758
.9925641
.9972991
.47
.48
.8881290
.9390461
.9699358
.9866678
.9947239
.9981526
.48
.49
.9098938
.9525356
.9773897
.9903240
.9963072
.9987537
.49
• 50
.9283467
.9635243
.9832238
.9930735,
.9974512
.9991710
• 50
314
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-8
p
n=38 r= 9
n-38 r= 8
n=38 r= 7
n=38 r= 6
n=38 r= 5
n=38 r- 4
p
.01
.0000000
.0000000
,0000001
.0000021
.0000381
.0005626
.01
.02
.0000000
.0000007
.0000094
.0001019
.0009266
.0068688
.02
.03
.0000015-
.0000143
.0001217
.0008810
.0053451
.0265711
.03
.04
.0000148
.0001090
.0006923
.0037547
.0171177
.0642812
.04
.03
.0000846
.0004946
.0025050,
.0108609
.0397266
.1203809
.05
.06
.0003332
.0016167
.0068057
.0245891
.0752449
.1919519
.06
.07
.0010171
.0042131
.0151710
.0470173
.1239447
.2742440
.07
.08
.0025753
.0093003
.0292585,
.0794658
.1844446
.3619824
.08
.09
.0056512
.0180827
.0505203
.1222660
.2541621
.4502822
.09
.10
.J110750-
.0318057
.0799546
.1747476
.3298636
.5351640
.10
.11
. .198032
.0515852
.1179454
.2353952
.4081727
.6137502
.11
.12
.0328254
.0782478
.1642084
.3021037
.4859639
.6842447
.12
.13
.0510518
.1122113
.2178368
.3724663
.5606169
.7457877
.13
.14
.0752026
.1534226
.2774211
.4440440
.6301424
.7982565-
.14
.15
. 1057152
.2013548
.3412148
.5145830
.6932048
.8420563
.15
• 16
.1426831
.2550603
.4073133
.5821664
.7490716
.8779322
.16
.17
.1858326
.3132633
.47382-11
.6452992
•7975204
.9068142
.17
.18
.2345386
.3744765,
.5389914
.7029350,
.8387267
.9296982
.18
.19
.2878733
.4371250-
.6013272
.7544565,
.8731501
. 9'475632
.19
.20
.3446804
.4996617
.6596425-
.7996256
.9014315,
.9613174
.20
.21
.4036628
.5606655-
.7130859
.8385152
.9243066
.9717683
.21
.22
.4634752
.6189140
.7611336
.8714347
.9425378
.9796103
.22
•23
.5228092
.6734298
.8035592
.8988578
.9568656
.9854244
.23
.24
.5804674
.7235008
.8403883
.9213573
.9679758
.9896854
.24
.25
.6354187
.7686781
.8718466
.9395510
.9764807
.9927732
.25
.26
.6868349
.8087559
.8983057
.9540591
.9829105,
.9949863
.26
.27
.7341079
.8437395,
.9202328
.9654736
.9877132
.9965557
.27
.28
.7768493
,8738063
.9381464
.9743377
.9912583
.9976569
.28
.29
.8148767
.8992635-
.9525801
.9811344
.9938451
.9984215-
.29
.30
*8481890
.9205078
.9640546
,9862816
.9957113
.9989469
.30
.31
.8769358
.9379887
.9730576
.9901324
.9970425-
.9993043
.31
.32
.9013832
.9521766
.9800311
.9929790
.9979816
.9995450-
.32
.33
.9218804
.'9635381
•9853647
•9950584
.9986369
.9997053
.33
.34
.9388278
.9725169
.9893934
.9965597
.9990890
.9998110
.34
.35
.-9526498
.9795209
.9923992
•9976310
.9993976
.9998801
.35
• 36
.9637720
.9849146
•9946145-
.9983866
.9996059
-9999247
.36
.37
.9726032
.9890156
.9962273
.9989134
.9997450-
•9999532
.37
.38
•9795236
.9920943
.9973873
.9992763
.9998367
.9999712
.38
.39
.9848760
.9943766
.9982115-
.9995235,
.9998967
.9999825-
.39
.40
.9889620
.9960472
.9987899
.9996899
•9999353
.9999895-
.4o
.41
.9920407
.9972547
.9991910
.9998005,
.9999600
.9999937
.41
.42
.9943305-
.9981164
•9994656
.9998732
•9999755,
.9999963
.42
.43
.9960112
.9987235-
.9996513
•9999204
.9999852
.9999979
.43
.44
.9972288
.9991457
.9997753
.9999506
.9999912
.9999988
.44
.45
.9980992
.9994356
.9998571
.9999698
•9999948
•9999993
.45
• 46
.9987131
.9996319
•9999102
.9999817
.9999970
.9999996
.46
.47
•9991403
•9997631
.9999444
.9999891
•9999983
.9999998
.47
.48
.9994334
.9998496
.9999660
.9999936
.9999990
.9999999
.48
.49
.9996317
.9999059
•9999795,
•9999963
.9999995-
•9999999
.49
.50
.9997640
.9999419
.9999878
.9999979
.9999997
1.0000000
• 50
315
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-s
( 8 )P *
p
n =38 r- 3
n=38 r= 2
n =38 r= 1
n =39 r =35
n =39 r=34
n =39 r=33
p
.01
.0064969
.0554548
.3174454
.0000000
.0000000
.0000000
.01
.02
.0401454
.1760250-
.5359221
.0000000
.0000000
.0000000
.02
.03
.1050063
.3163456
.6857134
.0000000
.0000000
.0000000
.03
.04
.1936441
.4523699
.7880142
.0000000
.0000000
.0000000
.04
.03
.2955158
.5728128
.8576043
.0000000
.0000000
.0000000
.05
.06
.4009128
.6737230
.9047514
.0000000
.0000000
.0000000
.06
.07
.5024536
.7551142
.9365616
.0000000
.0000000
.0000000
.07
.08
.5953177
.8189307
.9579334
.0000000
.0000000
.0000000
.08
.09
.6769098
. 8678645 ,
.9722302
.0000000
.0000000
.0000000
.09
.10
.7463302
.9047049
.9817520
.0000000
.0000000
.0000000
.10
.11
.8038427
.9320111
.9880651
.0000000
.0000000
.0.000000
.11
.12
.8504228
.9519761
.9922314
.0000000
.0000000
.0000000
.12
.13
.8874129
.9663962
.9949681
.0000000
.0000000
.0000000
.13
.14
. 9162795 *
.9766960
.9967570
.0000000
.0000000
.0.000000
.14
• 15
.9384553
.9839771
.9979207
.0000000
.0000000
.0000000
.15
.16
.9552486
. 9890745 ,
.9986738
.0000000
.0000000
.0000000
.16
.17
.9677983
. 9926105 -
•9991587
.0000000
.0000000
.0000000 ■
• 17
. l8
.9770612
.9950416
.9994692
.0000000
.0000000
.0000000
.18
.19
.9838187
.9966989
.9996670
.0000000
.0000000
.0000000
.19
.20
.9886938
.9978192
.9997923
.OUUGUOO
.0000000
.Q000000
.20
.21
. 9921735 ,
.9985704
.9998712
• 0000000
.0000000
.0000000
.21
.22
.9946319
•9990701
.9999206
.0000000
.0000000
.0000000
.22
.23
.9963513
.9993997
.9999514
.0000000
.0000000
.Q000000
.23
.24
.9975422
. 9996155 ,
.9999704
.0000000
.0000000
.0000000
.24
.25
.9983592
•9997557
.9999821
.0000000
.0000000
.0000000
.25
. 26
.9989143
.9998459
.9999893
.0000000
.0000000
.0000000
.26
.27
.9992880
.9999036
.9999936
.0000000
.0000000
.0000000
• 2 Z
.28
•9995373
•9999402
.9999962
.0000000
.0000000
.0000000
• cQ
.29
.9997020
•9999632
.9999^78
.0000000
.0000000
.0000000
.29
.30
.9998098
• 9999775 ,
.9999987
.0000000
.0000000
.0000000
.30
• 3 l
.9998797
•9999864
.9999992
.0000000
.0000000
.0000000
.31
. 32
.9999246
.9999918
.9999996
.0000000
.0000000
.0000000
.32
• 33
•9999532
.9999952
.9999998
.0000000
.0000000
.0000000
.33
.34
•9999712
.9999971
.9999999
.0000000
.0000.000
.0000000
.34
• 35
. 9999825 -
.9999983
.9999999
.0000000
.0000000
.0000000
.35
.36
.9999894
.9999990
1.0000000
.0000000
.0000000
.0000000
.36
.37
.9999937
.9999994
1.0000000
.0000000
.000.0000
.0000000
.37
.38
.9999963
.9999997
1.0000000
.0000000
.0000000
.0000000
.38
.39
.9999978
.9999998
1.0000000
.0000000
.0000000
.0000000
.39
.4o
.9999987
•9999999
1.0000000
.0000000
.0000000
.0000000
.40
. 4 l
•9999993
.9999999
1.0000000
.0000000
.0000000
.0000000
.41
.42
.9999996
1.0000000
1.0000000
.0000000
.0000000
.0000001
.42
.43
.9999998
1.0000000
1.0000000
.0000000
.0000000
.0000001
.43
.44
.9999999
1.0000000
1.0000000
.0000000
.0000000
.0000002
.44
.45
h z'*
.9999999
1.0000000
1.0000000
.0000000
.0000001
.0000004
.45
.46
1.0000000
1.0000000
1.0000000
.0000000
,0000.001
.0000007
.46
.47
i • n
1.0000000
1.0000000
1.0000000
.0000000
.0000002
.0000013
.47
.48
1.0000000
1.0000000
1.0000000
.0000000
. 0(300004
.0000023
.48
.49
1.0000000
1.0000000
1.0000000
.0000001
.0000007
.0000041
.49
• 50
1.0000000
1.0000000
1.0000000
.0000002
.0000012
.0000071
• 50
—
316
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V s
p
n=39 r=-32
n=39 1-31
n*39 r=30
11=39 r-29
n=39 r=28
n=39 r-27
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.oocoooo
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0060000
.0000000
.0000000
.0000000
.04
• 03
.0000000
.0000000
.oocoooo
.0000000
.0000000
.0000000
.05
.06
.0000000
. 0000000
.0000000
.0000000
. 0000000
.0000000
.06
• 07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
. 0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
. 0000000
. 0000000
. 0000000
.10
.11
.0000000
.0000000
.oocoooo
.0000000
. 0000000
. 0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
. 0000000
.0000000
.12
.13
.0000000
.0000000
.0600000
.0000000
. 0000000
. 0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
. 0000000
.0000000
.14
• 15
.0000000
. 0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0600000
.0000000
.0000000
.0000000
.16
.17
.0.000000
.0000000
.odooooo
.0000000
. OQOOOOO
.0000000
.17
.18
. QOOOOOO
. 0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
. Q000000
. 0000000
.0000000
.0000000
.0600000
.0000000
.19
.20
.QOOOOOO
. 0000000
.0000000
.0000000
.0600000
.0000000
.20
.21
.QOOOOOO
.0000000
.0000000
.0000000
.0600000
.0000000
.21
.22
.QOOOOOO
.0000000
.0000000
.0000000
.OQOOOOO
.0000000
.22
• ^3
.QOOOOOO
. 0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.QOOOOOO
.0000000
.0000000
.0000000
. 0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
. 0600000
.0000000
.25
. 26
.QOOOOOO
.0000000
.0000000
.0000000
.0600000
.0000000
• 26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 2 Z
.28
.QOOOOOO
. 0000000
.0000000
.0000000
.0000000
.0000001
.28
.29
. 0000000
. 0000000
.0000000
.0000000
.0000000
.0000002
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005,
.30
• 3l
.oocoooo
.0000000
.0000000
.0000000
.0000002
.0000010
.31
.32
. 0000000
.0600000
.0000000
.0000001
. 0000004
.0000021
.32
» 33
.QOOOOOO
.0000000
.0000000
.0000002
. 0000008
.0000040
.33
.34
.0000000
. 0000000
.0000001
.0000003
.0000016
.0000076
.34
.35
.0000000
. 0000000
.0000001
.0000006
.6000031
.0000140
.35
• 36
.0000000
.0000000
. 0000002
.0000012
.0000059
.0000252
.36
.37
.0000000
. 0000001
.0000004
.0000023
.0000108
.0000443
.37
.38
.0000000
.0000001
.0000009
.0000043
. 0OOO193
.0000762
.38
.39
.0000000
.0000003
.0000016
.0000079
.6000338
.0001282
.39
.4o
.0000001
.0000006
.0000^30
.0000141
.0000579
.0002113
.40
.41
.0000002
.0000011
.0000055,
.0000247
. 0000974
.0003415,
.41
.42
.0000004
. 0000020
.0000098
.0000423
.0001606
.0005418
.42
.43
.0000007
. 0000036
.0000172
.0000713
. 0002601
.0008441
.43
.44
.0000012
. 0000065,
.0000296
..0001178
.0004136
.0012921
.44
.45
.0000022
. 0000114
.0000499
.0001912
.0006464
.0019447
.45
.46
.0000040
. 0000196
.0000828
-0003052
.0009936
.0028793
.46
.47
.0000071
.0000333
.0001351
-0004793
.0015028
.0041956
.47
.48
.0000123
. 0000555-
.0002167
.0007407
.0022372
.0060201
.48
.49
.0000209
.0000910
.0003423
.0011270
.0032800
.0085088
.49
• 50
.00003^
.0001470
.0005325,
.0016889
. 0047377
.0118514
.50
317
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
8q n-s
p
n=39 r-26
n=39 r=25
n-39 r=24
rr=39 r-23
iv=39 r-22
11=39 r-21
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
,0000000
.03
.04
.0000000
.0600000
.0000000
.0000000
.0000000
,0000000
.04
• 05
.0000000
.0600000
.0000000
.0000000
.0000000
,0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
,0000000
.06
• 07
.0000000
.0000000
.0000000
.0000000
.0000000
,0000000
.07
.08
.0000000
.0000000
.0000000
. 0000000
.0000000
.0000000
.08
.09
.0000000
.0600000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
. 0000000
.0000000
.0000000
.11
.12
.0000000
.0600000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
-.0000000
.0000000
.13
.14
.0000000
.0600000
.0000000
.0000000
.00^0000
.0000000
.14
• 15
.0000000
.0000000
. 0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
• 16
.17
.0000000
.0000000
.0000000
.000000''
.0000000
.0000002
.17
.18
.0000000
.0600000
. 0000000
.0000000
.0000001
.0000005-
.18
.19
.0000000
.0600000
.0000000
. 0000000
. 000 r '002
.0000012
.19
.20
.0000000
.0000000
.0000000
.0000001
.0000006
.0000029
.20
.21
.0000000
.0600000
.0000000
.0000003
.0000014
.0000066
.21
.22
.0000000
.0600000
.0000001
.00000^7
.0000032
.0000143
.22
.23
.0000000
.0000001
.0000003
.00^0015-
.0000069
.0000292
.23
.24
. 0.000000
.0000001
.0000007
.0000033
.0000144
.0000574
.24
.25
.0000001
.6000003
.0000015-
.0000069
.0000287
.0001086
.25
.26
.0000001
.0000006
.0000031
.0000138
.0000550-
.0001980
.26
.27
.0000003
.0000014
.0000064
.0000269
.0001018
.0003491
.27
.28
.0000006
.0000029
.0000127
.0000506
.0001824
.0005966
.28
.29
.0000012
.6000058
.0000242
.0000921
.0003170
.0009898
.29
.30
.0000025,
.0000112
.0000449
.0001629
.0005353
.0015975,
.30
• 3i
.0000049
.0000210
.0000807
.0002799
.0008799
.0025121
.31
.32
.0000094
.0000384
.0001411
.0004685,
.0014098
.0038544
.32
• 33
.0000175,
.0000684
.0002405,
.0007647
.0022046
.0057776
.33
.34
.0000317
.6001186
.0003999
.0012187
.0033691
.0084712
.34
• 35
.0000560
.0002009
.0006494
.0018986
.0050375-
.0121622
.35
• 36
.0000967
.0003325-
.0010313
.<*028947
.0073766
.0171151
.36
• 37
.0001630
.0005383
.0016032
.0043232
.0105890
.0236286
.37
.38
.0002690
.0008533
.0024420
.0063303
.0149135,
.0320297
.38
• 39
.0004348
.0013256
.0036477
.0090956
.0206243
.0426634
.39
.40
.0006890
.6020200
.0053472
.0128336
.0280265-
.0558802
.40
.4l
.0010712
.6030213
.0076984
.0177940
.0374493
.0720191
.41
.42
.0016351
.6044389
.0108923
.0242598
.0492351
.0913891
.42
.43
.0024519
.0064100
.0151547
.0325425-
.0637262
.1142488
.43
.44
.0036143
.6091031
.0207461
.0429736
.0812478
.1407853
.44
.45
li /"
.0052402
.6127206
.0279583
.0558941
.1020887
.1710954
.45
.46
.0074766
.0174994
.0371093
.0716396
.1264820
.2051689
.46
.47
1, Q
.0105025,
.0237106
.0485343
.0905233
.1545842
.2428761
.47
.48
.0145315-
.0316556
.0625742
.1128169
.1864569
.2839618
.48
• 49
.0198119
.o4i66oo
.0795600
.1387303
.2220517
.3280456
.49
• 50
.0266260
.0540645,
.0997954
.1683918
.2611987
.3746293
.50
218
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V " 8
p
n=39 r=20
n=39 r=19
n=39 r=l8
n=39 r=17
n-39 r*l6
n-39 r=15
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
• 05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
• 07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000004
.0000024
.10
.11
.0000000
.0000000
.0000000
.0000002
.0000014
.0000078
.11
.12
.OOOO0OG
.0000000
.0000001
.0000006
.0000045-
.0000225,
.12
.13
.0000000
.0000001
.0000004
.0000025,
.0000127
.0000582
.13
.14
.0000000
.00000^2
.0000014
.0000070
.0000326
.0001374
.14
• 15
.0000001
.0000007
.0000038
.0000178
.0000768
.0002995,
.15
.16
.0000004
.0000020
.0000095,
.0000420
.0001682
.0006096
• 16
• 17
.0000010
.0000050-
.0000225-
.0000925-
.0003451
.0011673
.17
.18
.0000025
.0000117
.0000497
.0001914
.0006685-
.0021172
.18
• 19
.0000060
.0000261
.0001039
.0003750,
.0012295-
.0036579
.19
.20
.0000134
.0000550,
.0002058
.0006992
.0021581
.0060485-
.20
.21
• 0000284
.0001103
.0003889
.0012465-
.0036310
.0096112
.21
.22
.0000576
.0002111
.0007037
.0021327
.0.058773
.0147283
.22
.23
.0001117
.0003877
.0012239
.0035144
.0091820
.0218316
.23
.24
.0002081
.0006853
.0020523
.0055943
.0138844
.0313859
.24
.25
.0003736
.0^11688
.0033271
.0086247
.0203715-
.0438651
.25
• 26
.0006480
.0019289
.0052271
.0129077
.0290652
.0597231
.26
.27
.0010884
.0030870
.0079761
.0187913
. o4o4o44
.0793614
.27
.28
.0017737
.oo48oo8
.0118433
.0266600
.0548209
.1030968
.28
.29
.002S105-
.0072680
.0171420
.0369207
.0727123
.1311308
.29
• 30
.0043369
.0107288
.0242229
.0499842
.0944131
.1635248
.30
• 3l
.0065276
.0154652
.0334639
.0662416
.1201662
.2001834
.31
• 32
.0095960
.0217969
.0452547
.0860393
.1500976
.2408469
.32
. 33
.0137956
.0300746
.0599781
.1096525-
.1841968
.2850952
.33
.34
.0194178
.0406671
.0779872
.1372604
.2223045,
.3323616
.34
.35
.0267867
.0539465-
.0995823
.1689249
.2641096
•3819573
.35
• 36
.0362504
.0702687
.1249860
.2045748
.3091553
.4331024
.36
• 37
.0481684
.0899524
.1543223
.2439973
.3568550-
.4849637
.37
.38
.0628956
.1132559
.1875972
.2868376
.4065164
.5366934
.38
* 3 - 9
.0807634
.1403557
.2246871
.3326078
.4573723
.5874686
.39
.40
.1020586
.1713263
.2653325-
.3807036
.5086152
.6365267
.40
.41
.1270024
.2061248
.3091401
.4304287
.5594344
.6831960
.41
.42
.1557295,
.2445805-
.3555938
.4810245,
.6090521
.7269188
.42
.43
.1882702
.2863915,
.4040720
.5317043
.6567555,
.7672659
.43
.44
.2245367
.3311293
.4538723
.5816874
.7019245,
.8039439
.44
.45
.2643150
.3782501
.5042418
.6302335-
.7440520
.8367931
.45
.46
.3072637
.4271142
.5544089
.6766721
.7827568
.8657796
.46
.47
i, n
.3529196
.4770112
.6036174
.7204281
.8177884
.8909812
.47
.48
.4007111
.5271894
.6511583
.7610398
.8490246
.9125692
.48
• 49
.4499785-
.5 68882
.6963979
.7981697
.8764626
.9307883
.49
• 50
.5000000
.6253707
.7388013
.8316082
.9002046
.9459355-
• 50
: 7 i9
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n -39 r=l 4
n =39 r=l 3
n =39 r=12
n =39 r=ll
n =39 r-10
n =39 r= 9
P
.01
.0000000
. 0000000
. 0000000
.0000000
.0000000
. 0000000
.01
.02
.ooocooo
.0000000
.0000000
.0000000
.0000000
.0000001
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000002
.0000018
.03
.04
.0000000
.0000000
.0000000
.0000002
.0000023
.0000186
.04
.03
.00^0000
.0000000
.0000003
.0000022
.0000162
.0001051
• 05
.06
.0000000
.0000002
.0000018
.0000126
. 0000765 -
.0004102
.06
.07
.0000002
.0000014
.0000090
. 0000525 -
.0002714
.0012408
.07
.08
.0000010
.0000061
.0000344
.0001738
.0007820
.0031133
.08
.09
.0000039
.0000217
.0001082
.0004833
.0019218
.0067701
.09
.10
.0000132
.0000657
.0002931
.0011703
.0041647
.0131480
.10
.11
.0000389
.0001744
.0007023
.0025326
.0081498
.0232992
.11
.12
.0001018
.0004148
.0015201
.0049938
.0146564
.0382761
.12
.13
.0002409
.0008992
.0030206
.0091048
.0245493
.0590025.
.13
.14
. 0005235 ,
.0018609
.0055789
. 0155250 -
.0386999
.0861534
.14
.15
.0010569
.0033677
.0096725-
.0249841
.0578954
.1200611
.15
.16
.0020002
.0059312
.0158680
.0382258
. 0827485 ,
.1606634
• 16
.17
.0035759
.0099081
.0247935,
.0559403
.1136219
. 2074958
.17
.18
.0060772
.0157910
.0370973
. 0786955 -
.1505758
.2597274
.'18
.19
.0098695,
.0241287
.0533974
.1068734
.1933472
.3162311
.19
.20
.0153853
.0354955-
.0742262
. 1406216
. 2413595 -
.3756766
.20
.21
.0231095,
.0504522
.0999776
.1798248
.2937610
.4366334
.21
.22
.0335567
.0695018
.1308627
.2240994
.3494867
.^976717
.22
.23
.24
.0472406
.0646387
.0930450-
.1213390
.1668777
.2077894
.2728116
. 3251150 ,
.4073334
. 466 o 4 o 6
.5574519
.6147954
.23
.24
.23
.0861537
.1544659
.2531392
.3800048
.5243692
. 6687335 ,
.25
.26
.1120772
.1923122
.3022639
.4363808
.5811701
.7185344
• 26
.27
.1425582
.2345627
.3543326
.4931136
. 6354395 -
. 7637085 -
.27
.28
.1775796
.2807096
.4683944
.5491082
.6863562
.8039973
r O
.29
.2169455,
.3300752
. 4634325 ,
.6033591
.7333028
.8393489
.29
.30
.2602812
.3818469
•5184207
.6549946
.7758703
.8698847
.30
.31
.3070451
.4351200
.5723760
.7033067
.8138478
.8958622
.31
.32
.3565523
.4889460
.6244043
.7477681
.8472036
.9176371
• 32
.33
.4080077
.5423807
.6737374
.7880348
.8760569
. 9356275 -
.33
.34
.4605457
.5945301
.7197572
.8239378
.9006469
.9502821
.34
.35
.5132732
.6445892
* 76200 Q 3
.8554662
.9213003
.9620547
.35
.36
.5653128
.6918731
.8002046
.8827428
.9384008
•9713833
.36
.37
.6158424
.7358372
.8342113
•9059979
.9523614
.9786758
.37
.38
.6641299
.7760882
.8640399
•9255399
.9636008
. 9843005 ,
.38
.39
.7095590
.8123846
.8898212
.9417292
.9725252
.9885813
.39
.40
.7516471
.8446289
.9117825-
.9549526
•9795149
.9917961
.40
.41
.7900536
.8728532
•9302220
.9656028
.9849149
. 9941785 -
.41
.42
.8245797
.8971994
•9454844
.9740613
.9890301
.9959206
.42
.43
.85516^2
.9178970
.9579332
.9806859
•9921236
. 9971775 ,
.43
.44
.8818496
.9352395-
• 9679565 ,
.9858022
.9944173
.9980723
.44
.45
.9048032
.9495620
. 9759015 ,
.9896984
.9960947
.9987006
.45
.46
.9242566
.9612203
.9821128
.9926239
.9973043
.9991358
.46
.47
.9405032
.9705736
.9868993
. 9947895 ,
.9981644
.9994330
.47
.48
.9538732
.9779672
.9905347
.9963697
.9987673
.9996332
.48
• 49
.9647141
.9837275-
•9932557
.9975060
•9991839
.9997660
.49
• 50
.9733740
•9881486
•9952623
.9983111
. 9994675 -
.9998530
.50
1 J
320
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=39 r= 8
n=39 r= 7
n-39 r- 6
n=39 r- 5
11=39 r-4
n-39 r- 3
p
.01
.0000000
.0000001
.0000025-
.0000434
.0006220
.0069865-
.01
.02
.0000009
.0000112
.0001184
.0010454
.0075344
.0428630
.02
.03
.0000175,
.0001445-
.0010149
.0059818
.0289241
.1113465-
.03
.04
.0001324
.0008148
.0042892
.0190042
.0694558
.2039932
.04
.05
.0005951
.0029228
.0123042
.0437593
.1291376
.3093807
.05
.06
.0019280
.0078727
.0276285-
.0822473
.2044895,
.4172814
.06
.07
.0049802
.0174005
.0524022
.1344656
.2902187
.5201399
.07
.08
.0108970
.0352751
.0878641
.1986476
.3806492
.6132067
.08
.09
.0210021
.0569774
.1341366
.2718129
.4706786
.6940957
.09
.10
.0366206
.0894339
.1902592
.3503936
.5562806
.7621677
.10
.11
.0588849
.1308648
.2544008
.4307863
.6346604
.8179412
.11
.12
.0885631
.1807559
.3241669
.5097576
.7041860
.8626092
.12
.13
.1259426
.2379386
.3969259
.5846891
.7641990
.8976807
.13
.14
.1707823
.3007483
.4700978
.6536784
.8147797
.9247378
.14
• 15
.2223338
.3672201
.5413763
.7155325,
.8565161
.9452836
.15
.16
.2794208
.4352898
.6088712
.7696893
.8903029
.9606608
.16
.17
.3465581
.5029724
.6711768
.8161004
.9171815,
•9720164
.17
.18
.4040892
.5685012
.7273775,
.8551016
.9382236
.9802977
.'18
.19
.4683234
.6304218
.7770083
.8872886
.9544518
.9862659
.19
.20
•5316579
.6876391
.8199868
.9134087
.9667927
.9905189
.20
.21
.5926738
.7394260
.8565314
.9342736
.9760534
.9935169
.21
.22
.6502023
.7853998
.8870773
.9506938
.9829150,
.9956083
.22
.23
•7033595,
.8254779
.9121996
.9634341
.9879376
.9970524
.23
.24
*7515538
.8598209
.9325457
.9731861
.9915710
.9980398
.24
.25
.7944702
.8887727
.9487834
.9805538
.9941697
.9987083
.25
.26
.8320388
.9128016
.9615605-
.9860502
.9960076
*9991565,
.26
.27
.8643927
.9324478
.9714783
.9901007
.9972934
.9994542
.27
.28
.8918215.,
.9482800
•9790755-
.9930499
.9981834
.9996501
.28
.29
.9147253
.9608609
.9848205,
.9951723
.9987928
•9997777
.29
.30
.9335719
.9707227
.9891105,
.9966820
.9992058
.9998601
.30
.31
.9488600
.9783508
.9922746
.9977437
.9994827
.9999128
.31
.32
.9610900
.9841744
.9945798
.9984819
.9996664
•9999461
.32
.33
.9707409
.9885636
.9962393
..9989895-
.9997871
.9999670
.33
.34
.9782549
.9918300
.9974197
.9993545,
.9998655,
.9999800
.34
.35
.9840283
.9942304
.9982493
.9995665-
.9999159
.9999880
.35
.36
.9884066
.9959724
.9988256
.9997207
.9999480
.9999929
.36
.37
.9916839
.9972211
.9992211
.9998220
.9999682
.9999958
.37
.38
.9941056
.9981051
.9994893
.9998878
.9999807
.9999976
.38
.39
.9958722
.9987232
.9996690
.9999301
.9999885-
.9999986
.39
.4o
•9971443
.9991499
.9997881
.9999570
.9999932
.9999992
.40
.41
.9980486
.9994409
.9998659
.9999738
.9999960
.9999996
.41
.42
.9986831
.9996368
.9999162
.9999843
.9999977
.9999998
.42
.43
.9991225-
.9997670
.9999483
.9999907
.9999987
•9999999
.43
.44
.9994228
.9998525-
.9999685-
.9999945,
.9999993
•9999999
.44
.45
.9996252
.9999078
.9999810
.9999968
.9999996
1.0000000
.45
.46
.9997599
.9999431
.9999887
.9999982
.9999998
1.0000000
.46
.47
.9998483
.9999654
.9999934
.9999990
.9999999
1.0000000
.47
.48
.9999055-
•9999792
.9999962
.9999994
.9999999
1.0000000
.48
.49
•9999420
.9999877
.9999978
.9999997
1.0000000
1.0000000
.49
.50
•9999649
.9999929
.9999988
.9999998
1.0000000
1.0000000
.50
321
BINOMIAL DISTRIBUTION
Table £ - Partial Sums
n
Z
s-r
V s
p
n=39 r = 2
n=39 r~ 1
n=40 r-36
n=40 r=35
n=40 r=54
n=40 r=33
p
.01
.0580747
.3242710
.0000000
.0000000
.0000000
.0000000
.01
.02
.1832229
<5452037
.0000000
.0000000
.0000000
.0000000
.02
.03
.3274266
.6951420.
.0000000
.0000000
.0000000
.0000000
.03
.04
.4657957
.7964936
.0000000
.0000000
.0000000
.0000000
.04
.03
.5870523
.8647240
.0000000
.0000000
.0000000
.0000000
.05
.06
.6875847
.9104663
.0000000
.0000000
.0000000
.0000000
.06
.07
.7678155,
<9410023
.0000000
.0000000
.0000000
.0000000
• 07
.08
.8300509
.9612987
.0000000
.0000000
.0000000
.0000000
.08
.09
.8772574
.9747295-
.0000000
.0000000
.0000000
.0000000
.09
.10
.9124096
.9835768
.0000000
.0000000
.0000000
.0000000
.10
.11
.9381770
.9893779
.0000000
.0000000
.0000000
.0000000
.11
.12
.9568067
.9931637
.0000000
.0000000
.0000000
.0000000
.12
.13
.9701105,
.9956223
.0000000
.0000000
.0000000
.0000000
.13
.14
9795045,
.9972111
.0000000
.0000000
.0000000
.0000000
.14
.15
.9860686
.9982326
.0000000
.0000000
.0000000
.0000000
.15
.16
.9906104
.9988860
.0000000
.0000000
.0000000
.0000000
.16
.17
.9937237
.9993017
.0000000
.0000000
.0000000
.0000000
.17
.18
.9958386
.9995647
.0000000
.0000000
.0000000
.0000000
.18
.19
.9972628
•9997303
.0000000
.0000000
.0000000
.0000000
.19
.20
.9982138
.9998338
.0000000
.0000000
.0000000
.0000000
.20
.21
.9988436
.9998983
.0000000
.0000000
.0000000
.0000000
.21
.22
.9992572
•9999381
.0000000
.0000000
.0000000
.0000000
.22
.23
.9995266
.9999626
.0000000
.0000000
.0000000
.0000000
.23
.24
.9997007
•9999775,
.0000000
.0000000
.0000000
.0000000
.24
.25
.9998123
.9999866
.0000000
.0000000
.0000000
.0000000
.25
.26
.9998832
.9999921
. OOOOOOQ^
.0000000
.0000000
.0000000
.26
.27
.9999279
•9999953
.0000000
.0000000
.0000000
.0000000
.27
.28
.9999559
.9999973
.0000000
.0000000
.0000000
.0000000
.28
.29
•9999732
.9999984
.0000000
.0000000
.0000000
.0000000
.29
.30
.9999839
.9999991
.0000000
.0000000
.0000000
.0000000
.30
.31
.9999904
.9999995-
.0000000
.0000000
.0000000
.0000000
.31
.32
.9999943
•9999997
.0000000
.0000000
.0000000
.0000000
.32
^ 33
.9999967
•9999998
.0000000
.0000000
.0000000
.0000000
.33
.34
.9999981
•9999999
.0000000
.0000000
.0000000
.0000000
.34
.35
.9999989
•9999999
.0000000
.0000000
.0000000
.0000000
.35
.36
.9999994
1.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.9999996
l.oooooocf
.0000000
.0000000
.0000000
.0000000
.37
.38
.9999998
1.0000000
.0000000
.0000000
.0000000
.0000000
.38
.39
•9999999
1.0000Q00
.0000000
.0000000
.0000000
.0000000
.39
.40
.9999999
1.0000000
.0000000
.0000000
.0000000
.0000000
.40
.41
1.0000000
1.0000000
.0000000
.0000000
.0000000
.0000001
.41
.42
1.0000000
1.0000000
.0000000
.0000000
.0000000
.0000002
.42
.43
1.0000000
1.0000000
.0000000
.0000000
.0000001
.0000003
.43
.44
1.0000000
1.0000000
.0000O00
.0000000
.0000001
.0000007
.44
.45
1.0000000
1.0000000
.0000000
.0000000
.0000002
.0000012
.45
.46
1.0000000
1.0000000
.0000000
.0000001
.0000004
.0000022
.46
.47
1.0000000
1.0000000
.0000000
.0000001
.0000007
.0000040
.47
.48
1.0000000
1.0000000
.0000000
.0000002
.0000013
.0000071
.48
.49
1.0000000
1.0000000
.0000000
.0000004
.0000024
.0000124
.49
.50
1.OOOQOOO
1.0000000
.0000001
.0000007
.0000042
.0000211
.50
BINOMIAL DISTRIBUTION
Table S - Partial Sums
n
2
s-r
n-s
q
p
n =40 r-32
n =40 r=3l
n =40 r=30
n =40 r=29
f .
n =40 r-28
n =40 r-27
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005,
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000002
.0000011
.30
.31
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000022
.31
.32
.0000000
.0000000
.0000000
.0000002
.0000009
.0000044
.32
.33
.0000000
.0000000
.0000001
.0000004
.0000019
.0000085-
.33
.34
.0000000
.0000000
.0000001
.0000008
.0000037
.0000158
.34
.35
.0000000
.0000000
.0000003
.0000015,
.0000069
.0000287
.35
.36
.0000000
.0000001
.0000006
.0000029
.0000128
.0000509
.36
.37
.0000:000
.0000002
.0000011
.0000054
.0000232
.0000882
.37
.38
.0000001
.0000004
.0000022
.0000100
.0000409
. 0001495 -
.38
.39
.0000001
.0000008
.0000041
.0000180
.0000706
.0002478
.39
.40
.0000003
.0000016
.0000075-
.0000316
.0001193
.0004024
.40
.41
. 0000005 ,
.0000029
.0000134
.0000545-
.0001975-
.0006407
.41
.42
.0000010
.0000053
.0000235-
.0000920
.0003207
.0010010
.42
.43
.0000019
.0000095-
.0000404
.0001524
.0005112
.0015354
.43
.44
.0000036
.0000167
.0000684
.0002479
.0008001
.0023138
.44
.45
.0000064
.0000287
.0001135,
.0003961
.0012306
.0034277
.45
.46
.0000112
40000487
.0001851
.0006219
.0018610
.0049940
.46
.47
.0000194
.0000811
.0002969
.0009603
.0027684
.0071599
.47
.48
.0000330
.0001329
.0004682
.0014590
.0040530
.0101055,
.48
.49
.0000555
.0002142
.0007268
.0021820
.0058421
•0140473
.49
.50
.0000911
.0003398
.0011107
.0032133
.0082945,
.0192387
.50
323
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n =40 r -26
n =40 r=25
n =40 r =24
n -40 r-25
OJ
OJ
11
u
0
■=?
II
c
n =40 r =21
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
. 16
.17
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000002
.0000009
.18
.19
.0000000
.0000000
.0000000
.0000001
.0000004
.0000021
.19
.20
.0000000
.0000000
.0000000
.0000002
.0000011
.0000050,
.26
.21
.0000000
.0000000
.0000001
.0000005,
.0000025,
.0000112
.21
.22
.0000000
.0000000
.0000002
.0000012
.0000056
.0000238
.22
.23
.0000000
.0000001
.0000006
.0000027
.0000121
.0000482
.23
.24
.0000000
.0000005
.0000015
.0000059
.0000247
.0000936
.24
.25
.0000001
.0000006
.0000028
.0000123
.0000486
.0001749
.25
.26
.0000005
.0000015
.0000059
.0000245,
.0000921
.0003150,
.26
.27
.0000006
.0000028
.0000120
.0000471
.0001685,
.0005487
.27
.28
.0000012
.0000056
.0000255
.0000875-
.0002983
.0009262
r Q
• aO
.29
.0000025,
.0000111
.0000459
.0001573
.0005121
.0015178
.29
.30
.0000051
.0000215
.0000805
•0002746
.0008540
.0024194
.30
.31
.0000099
.0000595,
. 0001425 -
•0004659
.0013859
.0037569
.31
.32
.0000187
.0000715
.0002459
.0007697
.0021920
.0056917
.32
.33
.0000-545
.0001252
. 0004135 -
.0012399
.0033837
.0084236
.33
.34
.0000615
.0002145
.0006783
.0019498
.0051039
.0121931
.34
.35
.0001067
.0005579
.0010866
.0029972
.0075312
.0172808
.35
• 36
.0001816
.0005841
.0017021
.0045082
.0108825-
.0240038
.36
.37
.0005019
.0009525
.0026096
. 0066415 ,
.0154136
.0327084
.37
.38
.0004910
.0014570
.0039196
.0095919
.0214176
.0437587
.38
.39
.0007822
.0022512
.0057724
.0135918
.0292195,
.0575224
.39
.40
.0012214
.0055509
.0083418
.0189108
.0391680
.0743516
.40
.41
.0018708
.0049589
.0118376
.0258526
.0516229
.0945623
.41
.42
.0028127
.0071495
.0165066
.0347494
.0669398
.1184121
.42
.43
.0041539
.0101702
.0226315-
.0459515-
.0854509
.1460780
.43
.44
.0060294
.0142260
.0305262
.0598142
.1074443
.1776359
.44
.45
.0086064
.0195775,
.04,05294
.0766817
.1331417
.2130443
.45
• 46
.0120871
.0265199
.0529932
.0968671
.1626780
.2521325,
.46
.47
.0167105
.0553778
.0682692
.1206319
.1960814
.2945965,
.47
.48
.0227510
. 0464965 ,
.0866907
.1481641
.2332593
.3400015-
.48
.49
.0505175-
.0602510
.1085534
.1795578
.2739887
.3877927
.49
• 50
.0405452
.0769500
.1340936
.2147953
.3179140
.4373147
.50
?24
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
ST
s q n-s
p
n =40 r =20
n- 4 o r-19
n- 4 o r-l 8
n-= 4 o r t ?L 7
n- 4 o r=l 6
n"= 4 o r -15
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.eoooooo
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0,000000
.0000000
.oocoooo
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000006
.0000035-
.10
.11
.0000000
.0000000
.0000001
.0000004
.0000021
.0000112
.11
.12
.0000000
.0000000
.0000002
.0000013
.0000067
.0000320
.12
.13
.0000000
.0000001
.0000007
.0000038
.0000186
.0000820
.13
.14
.0000001
.0000004
.0000021
.0000106
.0000472
.0001914
.14
.15
.0000002
.0000012
.0000059
.0000267
.0001102
.0004131
.15
• 16
.0000006
.0000032
.0000147
.0000622
.0002388
.0008321
.16
.17
.0000017
.0000079
.0000344
.0001354
.0004849
.0015768
.17
.18
.0000042
.0000186
.0000752
.0002773
.0009292
.0028300
.18
.19
.0000098
.0000409
.0001554
.0005374
.0016909
.0048381
.19
.20
.0000217
.0000852
.0003045-
.0009910
.0029362
.0079159
.20
.21
.0000456
.0001688
.0005690
.0017472
.0048868
.0124459
.21
.22
.0000914
.0003195,
.0010181
.0029565,
.0078245,
.0188705,
.22
.23
.0001752
.0005801
.0017507
.0048179
.0120914
.0276757
.23
.24
.0003226
.0010134
.0029024
.0075839
.0180848
.039366b
.24
.25
.0005724
.0017084
. 0046515 -
.0115614
.0262449
.0544-372
.25
.26
.0009811
.0027864
.0072241
.0171087
.0370363
> 0733-351
.26
.27
.0016280
.0044070
.0108962
.0246269
.0509228
.0964245,
• 27
.28
.0026213
.0067727
.0159920
.0345451
.0683382
.1239520
.28
.29
.0041032
.0101315-
.0228778
.0473003
.0896537
.1560171
.29
.30
.0062545,
.0147770
.0319513
.0633129
.1151466
.1925518
.30
.31
.0092982
.0210448
.0436250-
.0829582
.1449716
.2333106
.31
.32
.0135003
.0293034
.0583058
.1065379
.1791374
.2778727
.32
.33
.0191677
.0399427
.0763706
.1342521
.2174933
.3256563
.33
.34
.0266426
.0533559
.0981401
.1661754
.2597239
. 37594-42
.34
.35
.0362926
.0699160
.1238522
.2022396
.3053563
.4279179
.35
• 36
.0484970
.0899670
.1536380
.2422238
.3537762
.4806982
.36
.37
. 0636285 -
.1137692
.1875020
.2857546
.4042552
.5333889
.37
.38
.0820325,
1415056
.2253086
.3323155.
.4559837
.5851193
.38
.39
. 104004 ^
.1732449
.2667762
.3812660
.5081098
.6350838
.39
.40
.1297657
.2089288
.3114809
.4318683
.5597798
.6825748
.40
.41
.1594426
.2483611
.3588684
.4833210
.6101767
.7270076
.41
.42
.1930469
.2912061
.4082747
.5347961
.6585561
.7679364
.42
.43
.2304624
.3369941
.4589539
.5854763
.7042750-
.8050605-
.43
.44
.2714374
.3851362
.5101110
. 634591 ?
.7468130
.8382224
.44
.45
.3155858
.4349463
.5609380
.6814518
.7857855,
.8673976
.45
.46
. 3623950 -
.4856698
.6106499
.7254711
.8209473
.8926790
.46
.47
.4112427
.5365161
.6585184
.7661874
.8521890
.9142565,
.47
.48
.4614207
.5866945-
.7039014
. 8032725 ,
.8795260
.9323951
.48
.49
.5121643
.6354480
.7462661
.8365332
.9030822
.9474119
.49
• 50
.5626853
.6820860
.7852047
.8659064
.9230700
.9596548
.50
325
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
ST
v~ s
p
n=4o r~l4
00
1 —t
ir
k
0
-=*-
11
c
n=4o r«12
n=40 r=ll
n=40 r=10
n=40 r-9
P
.01
.poooooo
.0000000
* 0G000O0
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000006
.0000000
.0000000
.0000000
.0000001
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000002
.0000023
.03
.04
.0000000
.0000000
.0000000
.0000003
.0000029
.0000232
.04
.05
.0000000
.0000006
.0000004
.0000029
.0000207
.0001296
.05
.06
. Q000000
.0000003
.0000025-
.0000164
.0000965
.0005013
.06
.07
. 00)00003
.0000019
.0000121
.0000678
.0003392
.0015026
.07
.08
.0000014
.0000083
.0000455,
.0002224
.0009685_
.0037360
.08
.09
.0000055-
.0000295-
.0001420
.0006128
.0023581
.0080509
.09
.10
.0000185-
.0000884
.0003808
.0014697
.0050631
.0154953
.10
.11
.0000538
.0002325-
.0009036
.0031505-
.0098162
.02721^7
.11
.12
.0001394
.0065475-
.0019370
.0061534
.0174908
.0443105,
.12
.13
.0003265-
.0011750,
.0038115,
.0111126
.0290282
.0677047
.13
.14
.0007024
.0023298
.0069713
.0187695-
.0453434
.0980014
.14
.15
.0014035-
.0043134
.0119692
.0299208
.0672203
.1354020
.15
.16
.00.26291
.0075211
.0194452
.0453494
.0952149
.1796646
.16
.17
. 00.46524
.0124386
.0300885-
.0657462
.1295804
.2301164
.17
.18
.0078257
.0196261
.0445850,
.0916340
.1702231
.2857125,
.18
.19
.0125788
.0296897
.0635578
.1233034
.2166952
.3451287
.19
.20
.0194074
.0432416
.0875052
.1607691
.2682229
.4068729
.20
.21
.0288515-
.0608525,
.1167455,
.2037514
.3237642
.4694019
.21
.22
.0414646
.0836012
.1513748
.2516846
.3820874
.5312284
.22
.23
.0577756
.1100265-
.191.2425,
.3037516
.4418607
.5910107
.23
.24
.0782468
.1420871
.2359476
.3589372
.5017418
.6476174
.24
.25
.103.2317
.1791342
.2848556
.4160959
.5604603
.7001677
.25
.26
.132.9383
.2208*996
.3371343
.4740260
.6168848
.74804-55,
.26
.27
.1673994
.2669606
.3918035-
.5315416
.6700721
.7908932
.27
.28
.2064560
.3164613
.4477942
.5875376
.7192957
.8285881
.28
.29
.2497531
.3687488
.5040112
.6410428
.7640562
.8612080
.29
.30
.2967509
.4228191
.5593929
.6912573
.8040746
.8889908
.30
.31
.3467483
.4776694
.6129645,
.7375745-
.8392723
.9122915,
.31
.32
.3989183
.5322926
.6638807
.7795875j
.8697424
.9315421
.32
.33
.4523508
.5857284
.7114555,
.8170821
.8957152
.9472149
.33
.34
.5o6L0O4
.6371073
.7551786
.8500189
.9175228
.9597929
.34
.35
.5592338
.6856863
.7947192
.8785081
.9355643
.9697455-
.35
.36
.6108745-
.7308724
.8299183
.9027797
.9502745,
.9775117
.36
.37
.6602405,
.7722357
.8607724
.923.1524
.9620977
.9834888
.37
.38
.7066741
.8095099
.8874099
.9400030
.9714667
.9880265-
.38
.39
.7496610
.8425848
.9100653
•9537396
.9787871
.9914247
.39
.4o
.7888398
.8714903
.9290505,
.9647775,
.9844274
.9939354
.40
.41
.8240014
.8963744
.9447281
.9735208
.9887130
.9957652
.41
.42
.8550800
.9174791
.9574867
.9803482
.9919241
.9970808
.42
.43
.8821370
.9351147
.9677198
.9856041
.9942968
.9980138
.43
.44
•9053411
.9496350-
.9758086
.9895929
.9960255,
.9986665-
.44
.45
.9249447
.96l4l48
.9821101
.9925767
.9972673
•9991167
.45
• 46
.9412599
.9708308
.9869479
.9947769
.9981468
.9994229
.46
.47
.9546360
♦9782463
.9906077
.9963757
.9987607
.9996282
.47
.48
.9654383
.9839996
.9933355-
.9975205,
.9991829
.9997639
.48
.49
.9740307
.9883963
.9953383
.9983281
•9994692
.9998522
.49
.50
.9807613
•9917C55-
.9967867
.9988893
.9996602
.9999089
.50
526
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V ’ 8
p
n=40 r = 8
n=40 r= 7
n=40 r= 6
n=40 r- 5
n=40 r* 4
n=40 r= 3
p
.01
.0000000
.0000001
.0000029
.0000492
.OOO6856
.0074974
.01
.02
.0000011
.00001^4
.0001370
.0011752
.0082409
.0456702
.02
.03
.0000214
.0001706
.0011640
.0066701
.0313968
.1178289
.03
.04
.0001597
.0009538
.0048778
.0210223
.0748373
.2144653
.04
.05
.0007115
.0033919
.0.138769
.0480285
.1381498
.3232642
.05
.06
.0022847*
.0090581
.0309056
.0895819
.2172570
.4334996
.06
.07
.0058496
.0198504
.0581467
.1453684
.3163132
.5374772
.07
.08
.0126872
.0376422
.0967268
.2132078
.3992538
.6305543
.08
.09
.02^2398
.0639217
.1465275,
.2897108
.4907862.
.7105803
.09
.10
.0419019
.0995164
.2062727
.3709823
.5768693
.7771919
.10
.11
.0668026
.1444538
•.2738032
.4532124
.6548215
.8311671
.11
.12
.0996262
.1979652
.3464378
.5330890
.7251968
.8739129
.12
.13
.1405021
.2586069
.4213351
.6080254
.7815516
.9070966
.13
.14
.1889776
.3244572
.4957991
.6762326
.8501758
.9324051
.14
.15
.2440667
.3933435-
.5674997
.7366801
.8698512
.9514013
.15
.16
.3043598
.4630628
.6346021
.7889875-
.9015601
.9654527
.16
.17
.3681685,
.5315671
.6958138
.8532842
.9265054
•9757066
.17
.18
.4336834
.5970990
.7503678
.8700635,
•9457969
.9830950,
.18
.19
.4991221
.6582732
.7979616
.9000496
.9604965-
.9883553
.19
.20
.5628541
.7141086
.8386712
.9240855,
.9715379
.9920579
.20
.21
.6234917
.7640181
.8728572
.9430473
.9797207
•9946355,
.21
.22
.6799^57
.8077689
.9010730
.9577824
.9857076
.9964110
.22
.23
.7314467
.8454238
.9239835,
.9690699
.9900340
.9976215,
.23
.24
.7775379
.8772749
.9422994
.9775985-
.9931235,
.9984384
.24
.25
.8180458
.9037754
.9567260
.9839578
.9953043
.9989843
.25
• 26
.8530372
.9254789
.9679270
.9886392
.9968263
.9993455-
.26
.27
.8827676
.9429860
.9765063
.9920427
.9978769
.9995821
.27
.28
.9076299
.9569027
.9829883
.994^873
.9985941
.9997357
.28
.29
.9281046
.9678092
.9878225,
.9962222
.9990784
.9998344
.29
.30
.9447171
.9762391
.9913819
.9974391
.9994021
.9998972
.30
• 3l
.9580022
.9826671
•9939700
.9982828.
.9996160
.9999368
.31
• 3£
.9684770
.9875041
.9958285,
.9988609
.9997559'
.9999615,
.32
. 33
.9766224
.9910966
.9971469
.9992527
.9998465-
.9999768
.33
.34
.9828704
.9937305-
.9980707
.9995151
.9999045-
.9999862
.34
• 35
.0875990
.9956370
.9987103
.9996888
.9999412
.9999918
.35
• 36
.9911303
.9969996
.9991478
.9998025,
.9999642
.9999952
.36
.37
.9937327
•9979611
.9994434
.9998761
; 9999784
.9999972
.37
.38
.9956254
.9986311
.9996407
.9999231
.9999871
.9999984
.38
• 3'9
.9969841
.9990921
.9997709
,9999529
.9999924
.9999991
.39
.40
.9979466
.9994052
.9998556
.9999715-
.9999956
•9999995-
.40
.41
.9986194
.9996151
.9999101
.9999829
.9999975-
•9999997
.41
.42;
.9990836
.9997541
.9999448
.9999899
.9999986
.9999993
.42
.45
.9993996
.9998450-
.9999665-
•9999941
.9999992
.9999999
.43
.44
.9996118
.9999035-
.9999799
.9999966
.9999996
1.0000000
.44
.45
.9997524
.9999407
.9999881
.9999981
.9999998
1.0000000
.45
.46
.9998442
.9999641
.9999931
.9999989
.9999999
1.0000000
.46
.47
.9999033
.0999786
.9999960
•9999994
.9999999
1.0000000
.4?
.48
.9999409
,9909874
.9999977
.9999997
1.0000000
1.0000000
.48
.49
.9999644
•9999927
.9999987
.9999998
1.0000000
1.0000000
.49
• 50
.9999789
.9999958
.9999993
.9999999
1.0000000
1.0000000
.50
832939 0 - 50 - 22
327
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V " 8
p
n»40 r= 2
1 — 1
II
0
II
a
n-4l r=37
n=4l r=36
n-4l r=35
n=4l r=34
p
.01
.0607566
.3310282
.0000000
.0000000
.0000000
.0000000
.01
.02
.1904625,
.5542996
.0000000
.0000000
.0000000
.0000000
.02
.03
.3584581
.7042877
.0000000
.0000000
.0000000
.0000000
.03
.04
.4790236
.8046338
.0000000
.0000000
.0000000
.0000000
.04
.05
.6009359
.8714878
.0000000
.0000000
.0000000
.0000000
.05
.06
.7009576
.9158384
.0000000
.0000000
.0000000
.0000000
.06
.07
.7799386
.9^51321
.0000000
.0000000
.0000000
.0000000
• 07
.08
.8405507
.9643948
.0000000
.0000000
.0000000
.0000000
.08
.09
.8860299
.9770038
.0000000
.0000000
.0000000
.0000000
.09
.10
.5195263
.9852191
.0000000
.0000000
.0000000
.0000000
.10
.11
.9438091
.9905463
.0000000
.0000000
.0000000
.0000000
.11
.12
.9611695,
.9930840
.0000000
.0000000
.0000000
.0000000
.12
.13
.9734271
.9961914
.0000000
.0000000
.0000000
.0000000
.13
.14
.9819834
.9976015,
.0000000
.0000000
.0000000
.0000000
.14
.15
.9878932
.9984977
.0000000
.0000000
.0000000
.0000000
.15
.16
.9919345,
.9990642
.0000000
.0000000
.0000000
.0000000
• 16
.17
.9946719
.9994204
.0000000
.0000000
.0000000
.0000000
.17
.18
.9965093
.9996431
.0000000
.0000000
.0000000
.0000000
.18
.19
.9977316
.9997815,
.0000000
.0000000
.0000000
.0000000
.19
.20
.9985378
.9998671
.0000000
.0000000
.0000000
.0000000
.20
.21
.9990651
.9999196
.0000000
.0000000
.0000000
.0000000
.21
.22
•9994070
.9999517
.0000000
.0000000
.0000000
.0000000
.22
.23
.9996269
•9999712
.0000000
.0000000
.0000000
.0000000
.23
.24
.9997671
.9999829
.0000000
.0000000
.0000000
.0000000
.24
.25
.9998559
.9999899
.0000000
.0000000
.0000000
.0000000
.25
.26
.9999115,
.9999941
.0000000
.0000000
.0000000
.0000000
.26
.27
.9999461
.9999966
.0000000
.0000000
.0000000
.0000000
.27
.28
.9999675-
.9999980
.0000000
.0000000
.0000000
.0000000
.28
.29
.9999805,
.9999989
.0000000
.0000000
.0000000
.0000000
.29
.30
.9999884
.9999994
.0000000
.0000000
.0000000
.0000000
.30
.31
•9999932
.9999996
. 0000000
.0000000
.0000000
.0000000
.31
.32
.9999960
.9999998
.0000060
.0000000
.0000000
.0000000
.32
.33
.9999977
•9999999
.0060000
.0000000
.0000000
.0000000
.33
.34
.9999987
•9999999
.0000000
.0000000
.0000000
.0000000
.34
.35
.9999993
1.0000000
.0000000
.0000000
.0000000
.0000000
.35
• 36
.9999996
1.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.9999998
1 .,0000000
.0000000
.0000000
.0000000
.0000000
.37
.38
.9999999
1.0000000
.0000000
.0000000
.0000000
.0000000
.38
.39
•999°999
1.0000000
.0000000
.0000000
.0000000
.0000000
.39
.4o
1.0000000
1.0000000
.0000000
.0000000
.0000000
.0000000
.40
.41
1.0000000
1.0000000
.0000000
.0000000
.0000000
.0000000
.41
.42
1.0000000
1.0000000
.0000000
.0000000
.0000000
.0000001
.42
.43
1.0000000
1.0000000
.0000000
.0000000
.0000000
.0000002
.43
.44
1.0000000
1.0000000
.0000000
.0000000
.0000001
.0000003
.44
.45
1.0000000
1.0000000
.0000000
.0000000
.0000001
.0000007
.45
.46
1.0000000
1.0000000
.0000000
.0000000
.0000002
.0000012
.46
.47
1.0000000
1.0000000
.0000000
.0000001
.0000004
.0000023
.47
.48
1.0000000
1.0000000
.0000000
.0000001
.0000007
.0000041
.48
.49
1.0000000
1.0000000
.0000000
.0000002
.0000013
.0000073
.49
.50
1.0000000
1.0000000
.0000003
.0000004
.0000024
.0000127
.50
328
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n= 4 l r =33
n= 4 l r=32
n= 4 l r= 3 l
n- 4 l r-30
n =41 r =29
n= 4 l r=28
p
.01
.0000000
.0000000
.0000000
.0000006
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0060000
.0000000
.0000000
.02
.03
.0000000
.0000000
.OOOOQOO
.0000000
.0000000
.0000000
.03
.04
.0000000
.00000.00
.0000000
.OQOOOOO
.0000000
.0000000
.04
.05
.0000000
.0000000
..0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
..OOOOQOO
.0000006
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.00000.60
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.00000.00
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.00000.00
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
. 00000.00
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000600
.0000000
.26
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0600000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.O 0 OOOOO
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000060
.0000001
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005-
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000002
.0000010
.31
.32
.0000000
.0000000
.0000000
.0000001
.0000004
.0000021
.32
.33
.0000000
.0000000
.0000000
. 000000-2
.0000009
.0000041
.33
.34
.0000000
.0000000
.0000000
.0000004
.0000017
.0000078
.34
.35
.0000000
.0000000
.0000001
.0000007
.0000034
.0000146
.35
.36
.0000000
.0000000
.0000003
.0000014
.00000.65-
.0000266
.36
.37
.0000000
.0000001
.0000006
.0000027
.0000120
.0000473
.37
.38
.0000000
.0000002
.0000011
.0000052
.0000218
.0000822
.38
.39
.0000001
.0000004
.0000021
.0000095,
.0000385,
.0001397
.39
.4o
.0000001
.0060008
.0000039
.0000171
.0000667
.0002325,
.4o
.41
.0000003
.0000015,
.00000.72
.0000302
.0001131
.0003792
.41
.42
. 0000005 ,
.0000028
.0000129
.0000523
.0001881
.0006064
.42
.43
.0000010
.0000052
.0000228
.0000886
.0003067
.0009516
.43
.44
.0000019
.0000093
.0000394
.0001474
.0004909
.0014662
.44
.45
. 0000035 ,
.0000164
.0000669
.0002407
.0007716
.0022193
.45
.46
.0000064
.0000285-
.0001115-
.0003860
.0011919
.0033022
.46
.47
.0000113
.0000484
.00018.25,
.0006087
.0018101
.0048324
.47
.48
. 0000195 ,
.0000810
.0002938
.0009438
.0027041
.0069582
.48
.49
.0000334
.0001331
.0004654
.0014398
.0039754
.0098626
.49
.50
.0000561
.0002154
.0007252
.0021620
.0057539
.0137666
.50
329
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 q n “ 8
p
n= 4 l r -27
n= 4 l r =26
n= 4 l r=25
n= 4 l r =24
n= 4 l r =23
n -41 r =22
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
. 00000.00
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.'18
.19
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.19
.20
.0000000
.0000000
.0000000
.0000001
.0000004
.0000019
.20
.21
.0000000
.0000000
.0000000
.0000002
.0000009
.0000043
.21
.22
.0000000
.0000000
.0000001
.0000005-
.0000022
.0000096
.22
.23
.0000000
.0000000
.0000002
.0000011
.0000049
.0000204
.23
.24
.0000000
.0000001
.0000005,
.0000024
.0000104
.0000413
.24
.25
.0000000
.0000002
.0000011
.0000052
. 0000214
.0000802
.25
.26
.0000001
.0000005,
.0000025,
.0000108
.0000421
.0001501
.26
.27
.0000002
.0000012
.0000052
.0000215-
.0000799
.0002712
.27
.28
.0000005,
.0000025-
.0000106
.0000413
. 0001465 ,
.0004741
.28
.29
.0000011
.0000050,
.0000206
.0000768
.0002602
.0008038
• 29
.30
.0000025
.0000100
.0000390
.0001386
.0004484
.0013236
.30
.31
.0000046
.0000191
.0000714
.0002427
.0007511
.0021209
.31
.32
.0000090
.0000555,
.0001272
. 0004135 ,
.0012249
.0033119
.32
.33
.0000170
.0000645
.0002203
.0006862
.0019473
.0050468
.33
.34
.0000515
.0001153
.0003720
.0011106
.0030222
.0075142
.34
.35
.0000560
.0001946
.0006129
.0017553
.0045841
.0109435,
.35
.36
.0000980
.0003265-
.0009866
.0027123
.0068029
.0156062
.36
.37
.0001675
.0005351
.0015529
.0041014
.0098872
.0218127
.37
.38
.0002792
.0008581
.0023928
.0060751
.0140857
.0299073
.38
.39
.0004562
.0013473
.0036123
.0088220
.0196866
.0402577
.39
.40
.0007500
.0020732
.0053472
.0125694
.0270136
.0532414
.40
.41
.0011450,
.0031287
.0077674
.0175838
•0364184
.0692280
.41
.42
.0017619
.0046341
.0110794
.0241686
.0482694
.0885582
.42
.43
.0026614
.0067409
.0155286
.0326591
.0629363
.1115206
.43
.44
.0059487
.0096359
.0213981
.0434130
.0807715-
.1383286
.44
.45
.0057581
.0135434
.0290059
.0567980
.1020887
.1690979
.45
• 46
.0082568
*.0187262
.0386977
.0731752
.1271401
.2038271
.46
.47
.0116486
.0254840
.0508367
.0928797
.1560932
.2423835-
.47
.48
.0161754
.0341489
.0657897
.1161979
.1890098
. 284 ^ 955 ,
.48
.49
.0221177
.0450771
.0839090
.1433455,
.2258289
.3297527
.49
.50
.0297919
.0586376
.1055118
.17444^4
.2663546
.3776143
.50
r t.
330
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V‘ s
p
n=4l r=21
n =4l r =20
n=4l r=19
n=4l r=l8
n=4l r =17
n-4l r=l6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.coooooo
.0000000
.0000000
.0000002
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000006
.0000031
.11
.12
.0000000
.0000000
.0000001
.0000003
.0000019
.0000097
.12
.13
.0000000
.0000000
.0000002
.0000011
.0000058
.0000269
.13
.14
.0000000
.0000001
.0000006
.0000033
.0000157
.0000674
.14
.15
.0000001
.0000004
.0000019
.0000090
.0000392
.0001556
.15
.16
.0000002
.0000010
.0000050,
.0000223
.0000905-
.0003337
.16
.17
.0000005,
.0000027
.0000124
.0000516
.0001948
.0006705-
• 17
.18
.0000014
.0000068
.0000288
.0001116
.0003946
.0012714
• JL
.18
.19
.0000036
.0000157
.0000626
.0002280
.0007565,
.0022888
• 19
.20
,0000084
.0000344
.0001290
.0004418
.0013801
.0039321
.20
.21
.0000184
.0000715-
.0002528
.0008164
.0024065,
•0064742
.21
.22
.0000386
.0001415,
.0004732
.0014445,
.0040275-
.0102547
. 22
.23
.0000774
.0002683
.0008493
.0024562
•0064908
.0156758
.23
.24
.0001486
.0004884
.0014667
.0040260
.0101041
.0231924
.24
.25
.0002742
.0008564
.0024441
.0063789
.0152322
.0332930
.25
.26
.0004882
.0014504
.0039402
.0097941
.0222899
.0464740
.26
.27
.0008401
.0023783
.0061591
.0146035-
.0317268
.0632083
.27
.28
.0014008
.0037837
.0093541
.0211868
.0440071
.0839100
.28
.29
.0022676
.0058514
.0138279
.0299603
.0595828
.1088991
.29
.30
.0035699
.0088113
.0199293
.0413597
.0788630
.1383682
.30
.31
.0054747
.0129396
.02804^6
.0558183
.1021824
.1723567
.31
.32
.0081904
.0185573
.0385842
.0737401
.1297698
.2107327
.32
*33
.0119691
.0260235-
.0519639
.0954715,
.1617217
.2531871
.33
.34
.0171059
.0357251
.0685826
.1212721
.1979819
.2992388
.34
.35
.0239349
.0480619
.0887956
.1512878
.2383304
.3482528
.35
.36
.0328214
.0634262
.1128885,
.1855289
.2823827
.3994681
.36
.37
.04^1488
.0821806
.1410504
.2238555-
.3295998
.4520347
.37
.38
.0583028
.1046323
.1733507
.2659712
.3793094
.5050552
.38
.39
.0756504
.1310082
.2097221
.3114272
.4307351
.5576297
.39
.40
.0965172
.1614309
.2499496
.3596359
.4830329
.6088978
.40
.41
.1211632
.1958992
.2936691
.4098940
.5353319
.6580774
.41
.42
.1497587
.2342738
.3403749
.4614137
.5867753
.70^4958
.42
.43
.1823633
.2762710
.3894368
.5133585,
.6365597
.7476127
.43
.44
.2189086
.3214649
.4401251
.5648825,
.6839691
.7870331
.44
.45
.2591880
.3692981
.4916426
.6151692
.7284020
.8225110
.45
.46
.3028532
.4191014
.5431607
.6634677
.7693901
.8539439
.46
.47
.3494202
.4701212
.5938572
.7091229
. 8066082
.8813608
.47
.48
.3982827
.5215521
.6429538
.7515995,
.8398742
.9049032
.48
.49
.4487348
.5725733
.6897489
.7904970
.8691422
.9248038
.49
.50
.5000000
.6223857
•7336454
.8255556
.894^882
.9413624
.50
. ■■■:-»
331
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 n-s
q
p
n=4l r-15
n=4l r=l4
n=4l r=13
n=4l r=12
n»4l r-11
n=4l r=10
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000004
.0000037
.o4
.05
.0000000
.ooodooo
.0000001
.0000005-
.0000038
.0000261
.05
.06
.0000000
.0000001
.0000005-
.0000033
.0000212
.0001208
.06
.07
.0000001
.0000004
.0000026
.0000160
.0000868
.0004207
.07
.08
.0000005
.0000019
.0000113
.0000597
.0002821
.0011899
.08
.09
.0000013
.0000077
.0000396
.0001844
.0007699
.0028705-
.09
.10
.0000050-
.0000255-
.0001177
.0004897
.0018291
.0061063
.10
.11
.0000159
.0000735-
.0003063
.0011508
.0038837
.0117300
.11
.12
.0000-449
.0001883
.0007142
.0024429
.0075138
.0207091
.12
.13
.0001137
.0004568
.0015178
.0047606
.0134416
.0340562
.13
.14
.0002630
.0009302
.0029796
.0086231
.0224898
.0527155,
.14
.15
.0005617
.0018400
.0054618
.0146620
.0355157
-0774475,
.15
.16
.0011192
.0034119
.0094290
.0235899
.0533279
.1087269
.16
.17
.0020996
.0059761
.0154391
.0361503
.0765980
.1466716
• 17
.18
.0037292
.0099498
.0241187
.0530538
.1057800
.1910112
.‘18
.19
.0063088
.0158299
.0361247
.0749095,
.1410478
.2410975,
.19
.20
.•0102142
.0241742
.0520943
.1021580
.1822599
-2959529
.20
.21
.0158911
.0355717
.0725901
.1350168
.2289541
.3543481
.21
.22
.0238412
.0506027
.0980434
.1734430
.2803733
.4148985-
.22
.23
.0345987
.0697933
.1287062
.2171196
-3355167
.4761652
.23
.24
.0486978
.0935685-
.1646136
.2654651
.3932103
.5367519
.24
.25
. 0666359
.1222074
.2055646
.3176657
.4521870
.5953871
.25
.26
.0888320
.1558082
.1942647
.2511207
.3727261
.5111693
.6509866
.26
.27
.1155878
.3006244
.4295328
.5689448
.7026938
.27
.28
.1470531
.2372575-
•3552345,
. 4079749
.4869224
.6244299
.7498975,
.28
.29
.1832005,
.2842619
.5437504
.6767167
.7922302
.29
.30
.2238115,
.3345714
.4637912
.5989522
.7251025-
.8295495-
.30
.31
.2684763
.3873339
.5196109
.6515936
.7691008
-8619083
.31
.32
.3166073
.4415981
.5744008
.7009069
.8084371
-8895183
.32
.33
.3674655-
.4963654
.6272183
.7463123
.8430310
.9127101
.33
.34
.4201973
.5506427
.6772516
.7874243
.8729702
.9318947
,34
.35
.4738784
.6034922
.7238478
.8240453
.8984778
.9475277
.35
• 36
.5275616
.6540738
.7665290
.8561484
.9198778
.9600799
.36
.37
.38
.5803240
.6315101
.7016787
.7457517
.8049942
.8391119
.8838530
.9073953
.9375621
.9519592
.9700124
.9777594
.37
.38
.39
.6797689
.7859013
.8689022
.9270983
.9635081
.9837158
.39
.4o
.7250808
.8219000
.8945144
.9433413
.9726375-
.9882306
.40
.41
.7667751
.8536744
.9161994
.9565331
.9797496
.9916044
.41
.42
.8045367
.8812876
.9342823
.9670886
.9852101
.9940899
.42
.43
.8382034
.9049174
.9491349
.9754100
.9893420
.9958951
.43
.44
.8677546
.9248304
.9611514
.9818737
.9924232
.9971875,
.44
.45
.8932938
.9413562
.9707277
.9868201
.9946875,
.9980995,
.45
.46
.9150262
.9548625,
.9782447
.9905492
.9963270
.9987338
.46
.47
.9332549
.9657328
.9840562
.9933187
.9974966
.9991684
.4?
.48
.9482558
.9743477
.9884808
.9953443
.9983185-
.9994618
.48
• 49
.9604551
.9810698
.9917979
.9968033
.9988872
.9996569
.49
• 50
.9702081
.9862334
.9942461
.9978380
-9992748
•9997846
.50
- SJ
332
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-s
q
p
n*4l r= 9
n-4l v - 8
n=4l r= 7
n~=4l r= 6
n=4l r- 5
n»4l r= 4
p
.01
.0000000
.0000000
.0000002
.0000033
.0000555
.0007537
.01
.02
.0000001
.0000014
.0000158
.0001577
.0013165,
.0089895,
. 02
.03
.0000029
.0000258
.0002004
.0013291
.0074119
.0339898
.03
.04
.0000286
.0001914
.0011108
.0055236
.0231749
.0804224
.04
.05
.0001587
.0007455,
.0039161
.0155845,
.0525343
.1474055-
.05
.06
.0006083
.0026911
.0103689
.0344262
.0972424
.2302316
• 06
.07
.0018069
.0068297
.0225311
.0642522
.1566345-
.3224947
.07
.08
.0044521
.0146836
.0423690
.1060453
.2280914
.4177578
• v/ f
.08
.09
.0095079
.0278112
.0713563
.1594140
.3078076
.5105677
.09
.10
.0181360
.04766*34
.1101920
.2227436
.3915710
.5969016
.10
.11
.0315684
.0753443
.1586822
.2935382
.4753894
.6742193
.11
.12
.0509484
.1114269
.2157819
.3688359
.5559020
.7412827
.12
.13
.0771684
.1558557
.2797616
.4456048
.6305838
.7978725-
.13
.14
.1107381
.2079447
•3484451
.5210598
.6977843
.8444862
.14
.15
.1517017
.2664583
.4194669
.5928768
.7566527
.8820668
.15
.16
.1996158
.3297523
.4905091
.6593038
.8069991
.9117829
.16
.17
.2535855
•3959463
•5594891
.7191833
.8491315-
.934868b
• 17
.18
.3123473
.4630982
.6246874
.7719131
.8836955,
.9525106
.18
.19
.3743874
.5293608
.6848140
.8173583
.9115345-
.9657896
.19
.20
.4380691
.5951050,
.7390211
.8557540
.9335760
.9756419
.20
.21
.5017607
.6550023
.7868743
.8875971
.9507487
.9828528
.21
.22
.5639462
.7080668
.8282958
.9135490
.9639260
.9880623
.22
.23
.6233110
.7576615-
.8634926
.9343534
.9738917
.9917792
.23
.24
.6787983
.8014748
.8928808
.9507712
.9813245,
.9943991
.24
.25
.7296372
.8394782
.9170131
•9635340
.9867944
.9962243
.25
.26
.7755434
.8718720
.9365156
.9733128
.9907678
.9974813
• 26
.27
.8156995
.8990266
.9520365,
.9807012
.9936179
.9983373
.27
.28
.8507198
.9214263
.9642067
.9862080
.9956372
.9989137
.16
.29
.8806080
.9396189
.9736130
.9902584
.9970505,
.9992977
.29
.30
.9057087
.9541737
.9807819
.9931991
.9980280
.9995506
.30
.31
.9264618
.9656483
.9861710
.9953069
.9986961
.9997155-
.31
.32
.9435612
.9745657
.9901679
.9967989
.9991473
.9998217
.32
• 33
.9569194
.9813989
.9930932
.9978418
.9994486
.9998895-
.33
.34
.9676592
.9865629
.9952062
.9985618
.9996474
.9999322
.34
.35
.9759942
.9904123
.9967127
.9990528
.9997771
.9999589
.35
.36
.9824144
.9932432
.9977729
.9993835-
.9998607
.9999753
.36
.37
.9872790
.9952972
.9985096
.9996035-
.9999139
.9999854
.37
.38
.9909141
.9967676
.9990148
.9997481
.9999475-
.9999914
.38
.39
.9955929
.9978062
.9993568
.9998419
.9999683
.9999950,
.39
.4o
.9955598
.9985300
.9995854
.9999020
.9999811
.9999972
.40
.41
.9969554
.9990277
.9997361
.9999400
.9999889
.9999984
.41
.42
.9979220
.9993653
.9998342
.9999637
.9999935,
•9999991
.42
.43
.9986097
.9995911
.9998972
.9999784
.9999963
.9999995,
.43
.44
.9990824
.9997402
.9999371
.9999873
.9999979
.9999997
.44
.45
.9994027
.9998371
.9999621
•9999926
.9999988
.9999999
.45
.46
.9996167
.9998994
.9999774
.9999958
.9999994
.9999999
.46
.47
.9997575,
.9999387
.9999868
.9999976
.9999996
1.0000000
.47
.48
.9998488
.9999632
.9999924
.9999987
.9999998
1.0000000
.48
.49
.9999072
.9999782
.9999956
.9999993
.9999999
1.0000000
.49
.50
.9999459
.9999873
.9999976
.9999996
.9999999
1.0000000
.50
^7 .:a
335
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-4l r- 5
n-41 r= 2
n=4l r= 1
n=42 r =37
n=42 r=36
n=42 r=35
p
.01
.0080298
.0634395,
.3377180
.0000000
.0000000
.0000000
• 01
.02
.0485661
.1977393
.5632136
.0000000
.0000000
.0000000
* 02
.03
.04
.1244477
.2250476
.3494330
.4920480
.7131591
.8124485-
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.05
.06
.3371478
.4495471
.6144635,
.7138505-
.8779135
.9208881
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
• 0.7
.5544495-
.7915022
.9489729
.0000000
.0000000
.0000000
.07
.08
.6473540
.8504583
.9672432
.0000000
.0000000
.0000000
.08
.09
.7263707
.8942176
.9790735-
.0000000
.0000000
.0000000
.09
.10
.7914253
.9260956
.9866972
.0000000
.0000000
.0000000
.10
.11
.8435578
.9489502
.9915862
.0000000
.0000000
.0000000
.11
.12
.8843837
.9651073
.9947059
.0000000
.0000000
.0000000
.12
.13
.9157196
.9763864
. 9966865-
.0000000
.0000000
.0000000
.13
.14
.9393461
.9841700
.9979373
.0000000
.0000000
.0000000
.14
• 15
.9568751
.9894839
.9987230
.0000000
.0000000
.0000000
.15
.16
.9696898
.9930753
.9992139
.0000000
.0000000
.0000000
.16
.17
.9789307
.9954792
.9995189
.0000000
.0000000
.0000000
.17
.18
.9855096
.9970734
.9997073
.0000000
.0000000
.0000000
.18
.19
.9901368
.9981211
.9998230
.0000000
.0000000
.0000000
.19
.20
.9933539
.9988037
.9998937
.0000000
.0000000
.0000000
.26
.21
.9955657
.9992445,
.9999365,
.0000000
.0000000
.0000000
.21
.22
.9970702
.9995288
.9999623
.0000000
.0000000
.0000000
.22
.23
.9980827
.9997061
.9999778
.0000000
.0000000
.0000000
.23
.24
.9987573
.9998189
.9999870
.0000000
.0000000
.0000000
.24
.25
.9992022
.9998894
.9999925-
.0000000
.0000000
.0000000
• 25
.26
.9994926
.9999330
.9999956
.0000000
.0000000
.0000000
.26
.27
.9996804
.9999597
.9999975,
.0000000
.0000000
.0000000
.27
.28
.9998006
.9999760
.9999986
.0000000
.0000000
.0000000
.28
.29
.9998768
.,9999859
.9999992
.0000000
.0000000
.0000000
.29
.30
.9999246
.9999917
.9999996
.0000000
.0000000
.0000000
.30
.31
.9999543
•9999952
.9999998
.0000000
.0000000
.0000000
.31
.32
.9999726
.9999972
.9999999
.0000O00
.0000000
.0000000
.32
.33
.9999837
.9999964
.9999999
.0000000
.0000000
.0000000
.33
.34
.9999904
.9999991
1.0000000
.0000000
.0000000
.0000000
.34
.35
•9999944
.9999995,
1.0000000
.0000000
.0000000
.0000000
.35
.36
.9999968
.9999997
1.0000000
.0000000
.0000000
.0000000
.36
.37
.9999982
•9999999
1.0000000
.0000000
.0000000
.0000000
• 37
.38
.9999990
.9999999
1.0000000
.0000000
.0000000
.0000000
.38
.39
.9999994
1.0000000
1.0000000
.0000000
.0000000
.0000000
.39
.40
.9999997
1.0000000
1.0000000
.0000000
.0000000
.0000000
.40
.41
.9999998
1.0000000
1.0000000
.0000000
.0000000
.0000000
.41
.42
•9999999
1.0000000
1.0000000
.0000000
.0000000
.0000000
.42
.43
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000001
.43
.44
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000002
.44
.45
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.0000004
.45
.46
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.0000007
.46
.47
1.0000000
1.0000000
1.0000000
.0000000
.0000002
.0000013
.47
.48
1.0000000
1.0000000
1.0000000
.0000001
.0000004
.0000023
.48
.49
1.0000000
1.0000000
1.0000000
.0000001
.0000008
.0000042
.49
.50
1.0000000
1.0000000
1.0000000
.0000002
.0000014
.0000075,
.50
534
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V " 8
p
n =42 r =^4
n =42 r=33
n =42 r=32
n =42 r=31
n =42 r=30
n —42 r=29
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
. 00 Q 0000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
. 26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000002
.0000009
.32
.33
.0000000
.0000000
.0000000
.0000001
.0000004
.0000019
.33
.34
.0000000
.0000000
.0000000
.0000002
.0000008
.0000038
.34
.35
.0000000
.0000000
.0000001
.0000003
.0000017
.0000073
.35
• 36
.0000000
.0000000
.0000001
.0000007
.0000032
.0000137
.36
.37
.0000000
.0000000
.0000003
.0000014
.0000062
.0000251
.37
.38
.0000000
.0000001
.0000005,
.0000026
.0000115-
.0000447
.38
.39
.OOOOOOU
.0000002
.0000011
.0000050-
.0000208
.0000780
.39
.40
.0000001
.0000004
.0000020
.0000092
.0000370
.0001330
.40
.41
.0000001
.0000008
.0000038
.0000166
.0000642
.0002222
.41
.42
.0000003
.0000015,
.0000071
.0000295-
.0001093
.0003638
.42
.43
. 0000005 ,
.0000028
.0000128
.0000511
.0001824
.0005840
.43
.44
.0000010
.0000052
.0000226
.0000869
.0002985,
.0009200
.44
.45
.0000020
.0000093
.0000391
.0001451
.0004796
.0014231
.45
.46
.0000036
.0000165,
.0000666
.0002378
.0007567
.0021626
.46
.47
.OOOOC65-
.0000287
.0001114
.0003828
.0011734
.0032306
.47
.48
.0000115,
.0000490
.0001831
.0006058
.0017888
.0047461
.48
.49
.0000201
.0000823
.0002959
.0009428
.0026823
.0068602
.49
.50
.0000341
.0001358
.0004703
.0014436
.0039579
.0097602
.50
335
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s«r
s q n- s
p
n=42 r=28
n=42 r=27
n=42 r=26
n=42 r-25
. n=42 r=24
n=42 r=23
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.ooboooo
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.20
.21
.0000000
.0000000
.0000000
.0000001
.0000003
.0000016
.21
.22
.0000000
.0000000
.0000000
.0000002
.0000008
.0000038
.22
.23
.0000000
.0000000
.0000001
.0000004
.0000019
.0000085-
.23
.24
.0000000
.0000000
.0000002
.0000010
.0000043
.0000178
.24
.25
.0000000
.0000001
.0000005-
.0000022
.0000092
.0000361
.25
.26
.0000000
.0000002
.0000010
.0000046
.0000189
.0000702
.26
.27
.0000001
.0000005-.
.0000023
.0000096
.0000372
.0001315,
.27
.28
.0000002
.0000011
.0000047
.0000192
.0000707
.0002383
.28
.29
.0000005-
.0000022
.0000096
.0000369
.0001300
.0004178
.29
.30
.0000010
.0000046
.0000187
.0000689
.0002315,
.0007110
.30
.31
.0000021
.0000091
.0000353
.0001245,
.0004003
.0011758
.31
.32
.0000043
.0000175-
.0000649
.0002188
.0006731
.0018927
.32
.33
.0000083
.0000326
.0001158
.0003741
.0011024
.0029702
.33
.34
.0000158
.0000592
.0002013
.0006231
.0017605,
.0045495-
.34
.35
.0000291
.0001045,
.0003410
.0010128
.0027454
.0068099
.35
.36
.0000523
.0001802
.0005641
.0016078
.0041849
.0099721
.36
.37
.0000917
.0003034
.0009117
.0024958
.0062422
.0142996
.37
.38
.0001570
.0004992
.0014413
.0037921
.0091191
.0200979
.38
.39
.0002631
.0008037
.0022307
.0056440
.0130592
.0277093
.39
.4o
.0004315,
.0012673
.0033828
.0082361
.0183471
.0375047
.40
.41
.0006932
.0019584
.0050306
.0117921
.0253060
.0498704
.41
.42
.0010917
.0029682
.0073411
.0165769
.0342909
.0651907
.42
.43
. 0016868
.0044156
.0105196
.0228947
.0456783
.0838275,
.43
.44
.0025585-
.0064511
•0148113
.0310846
.0598507
. 1060966
.44
.45
.0038118
.0092615-
.0205015,
.0415123
.0771788
.1322428
.45
• 46
.0055813
.0130728
.0279131
.0545573
.0979991
.1624161
.46
.47
.0080360
.0181512
.0373998
.0705969
.1225900
.1966496
.47
.48
.0113824
.0248027
.0493365-
.0899857
.1511476
.2348429
.48
.49
.0158676
.0333678
.0641047
.1130329
.1837624
.2767516
.49
.50
.0217793
.0442148
.0820747
.1399781
.2203995,
.3219845-
.50
336
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n=42 r=22
n=42 r =21
n=42 r=20
n=42 r=19
n=42 r=l8
n=42 r=17
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.6000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000O00
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000001
.0000008
.11
.12
.0000000
.0000000
.0000000
.0000001
.0000005,
.0000028
.12
.13
.0000000
.0000000
.0000001
.0000003
.0000017
.0000085,
.13
.14
.0000000
.0000000
.0000002
.0000010
.0000051
.0000230
.14
.15
.0000000
.0000001
.0000006
.0000029
.0000135,
.0000567
.15
.16
.0000001
.0000003
.0000017
.0000078
.0000332
.0001294
.16
.17
.0000002
.0000009
.0000044
.0000191
.0000759
.0002757
.17
.18
.0000005-
.0000024
.0000107
.0000437
.0001626
.0005524
.18
.19
.0000013
.0000059
.0000246
.0000941
.0003284
.0010477
.19
.20
.0000032
.0000136
.0000533
.0001916
.0006294
.0018905-
.20
.21
.0000073
.0000296
.0001095,
.0003712
.0011503
.0032608
.21
.22
.0000160
.0000613
.0002145,
.0006869
.0020128
.0053974
.22
.23
.0000335-
.0001213
.0004019
.0012189
.0033842
.0086034
.23
.24
.0000670
.0002301
.0007232
.0020809
.0054847
.0132453
.24
.23
.0001287
.0004198
.0012533
.0034278
.0085923
.0197474
.25
.26
.0002380
.0007384
.0020978
.0054622
.0130430
.0285777
.26
.27
.0004248
.0012554
.0033991
.0084391
.0192268
.0402268
.27
.28
.0007336
.0020680
.0053434
.0126673
.0275765,
.0551799
.28
.29
.0012283
.0033069
.0081646
.0185063
.0385508
.0738845,
.29
.30
.0019975-
.0051423
.0121467
.0263584
.0526107
.0967146
.30
.31
.0031606
.0077889
.0176222
.0366545-
.0701911
.1239364
.31
.32
.0048731
.0115078
.0249659
.0498341
.0916696
.1556779
.32
. 33
.0073312
.0166071
.0345838
.0663214
.1173341
.1919053
.33
.34
.0107754
.0234364
.0468966
•0864970
.1473534
.2324093
.34
.35
.0154905,
.0323794
.0623187
.1106679
.1817527
.2768033
.35
.36
.0218036
.0438391
.0812326
.1390391
.2203962
.3245334
.36
.37
.0300770
.0582206
.1039624
.1716883
.2629809
.3749007
.37
.38
.0406976
.0759080
.1307453
.2085465,
.3090397
.4270928
.38
.39
.0540608
.0972399
.1617066
.2493871
.3579573
.4802240
.39
.40
.0705517
.1224827
.1968384
.2938241
.4089947
.5333788
.40
.41
.0905215-
.1518050-
.2359849
.3413213
.4613235,
.5856575,
.41
.42
,1142624
.1852550,
.2788363
.3912112
.5140656
.6362179
.42
.43
.1419829
.2227436
.3249323
.4427231
.5663350,
.6843125,
.43
.44
.1737838
.2640333
• 373675’.
.4950184
.6172806
.7293173
.44
.45
.2096384
.3087375-
.4243531
.5472296
.6661240
.7707510
.45
.46
.2493791
.3563274
.4761686
.5985019
.7121920
.8082849
.46
.47
.2926907
.4061497
.5282771
.6480321
.7549410
.8417419
.47
.48
.3391134
.4574520
.5798249
.6951038
.7939714
.8710881
.48
.49
.3880539
.5094156
.6299893
.7391154
.8290331
.8964164
.49
.50
.4388072
.5611928
.6780155.
.7796005-
.8600219
.9179253
.50
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n -42 r =16
n =42 r -15
n =42 r -14
n =42 r-13
n =42 r =12
n =42 r=ll
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.04
.05
.0000000
.0000000
.0000000
.0000001
.0000007
.0000049
.05
.06
.0000000
.0000000
.0000001
.0000006
.0000044
.0000272
.06
.07
.OOOOOQO
.0000001
.0000005,
.0000036
.0000209
.0001101
.07
.08
.0000001
.0000004
.0000027
.0000152
. 0000775 -
.0003547
.08
.09
.0000003
.0000019
.0000105,
.0000526
.0002371
.0009589
.09
.10
.0000013
.0000070
.0000347
.0001549
.0006237
.0022568
.10
.11
. 0000045 ,
.0000223
.0000991
.0003992
.0014514
.0047468
.11
.12
.0000139
.0000621
.0002514
.0009216
.0030514
.0090973
.12
.13
.0000382
.0001557
.0005773
.0019393
.0058892
. 0161215 -
.13
.14
.0000948
.0003564
.0012171
.0037697
. 010564*1
.0267214
.14
.15
.0002165,
.0007534
.0023832
.0068418
.0177900
.0418055
.15
.16
.0004595-
.0014864
.0043746
.0116947
.0283480
. 0621917 '
• 16
.17
.0009134
.0027586
.0075848
.0189600
.0430264
. 0885105 -
•.17
. 18
.0017138
.0048489
.0125002
.0293270
. 0625445 ,
.1211216
.18
.19
.0030526
.0081178
.0196859
.0434938
.0874750
.1600573
.19
.20
.0051885,
.0130062
.0297582
.0621071
.1181784
. 2049985 -
.20
.21
.0084518
.0200240
.0433456
.0856997
.1547436
.2552868
.21
.22
.0132437
.0297287
.0610396
.1146313
.1969676
.3099688
.22
• 23
.0200281
.0426934
.0833433
.1490413
.2443509
.3678659
.23
.24
.0293137
.0594668
.1106193
.1888180
.2961239
.4276603
.24
.25
.0416287
.0805287
.1430467
.2335899
•3512960
.4879870
.25
.26
.0574870
.1062458
.1805895-
.2827381
.4087214
.5475218
.26
.27
.0773507
.1368305,
.2229818
.3354296
.4671740
.6050571
•27
.28
.1015901
.1723103
.2697311
.3906671
. 5254245 -
.6595608
.28
.29
. 1304465 -
.2125083
.3201387
.4473498
.5823106
.7102156
.29
.30
.1640012
. 2570395 -
•3733373
.5043395,
.6367973
.7564366
.30
• 3 l
.2021537
.3053221
.4283397
.5605255,
.6880208
.7978711
.31
.32
.2446126
.3566043
. 4840950 -
.6148828
. 7353165 ,
.8343830
.32
.33
.2908990
. 4100025 -
•5395469
.6665194
. 7782295 -
.8660251
.33
.34
.3403647
.4645488
.5936897
.7147103
.8165099
. 8930045 ,
.34
.35
.3922218
.5192433
.6456166
.7589169
.8500967
.9156453
.35
• 36
.4455818
.5731060
.6945576
.7987920
.8790910
. 93^3506
.36
.37
• .4995017
.6252252
. 7399055 -
.8341720
.9037254
.9495687
.37
.38
.5530321
.6747979
.7812285,
.8650596
.9243296
.9617633
.38
.39
.6052640
. 7211605 ,
.8182716
.8915987
.9412981
.9713891
.39
.40
.6553710
.7638085-
.8509458
.9140452
.9550598
. 97887^7
.40
. 4 l
.7026434
.8024038
.8793096
.9327362
.9660519
.9846100
.41
.42
.7465130
.8367721
.9035454
.9480609
.9746996
.9889396
.42
.43
.7865667
.8668904
.9239309
.9604332
.9814008
.9921598
.43
.44
.8225506
.8928680
.9408116
.9702692
. 9865155 -
. 9945195 ,
.44
.45
.8543632
.9149219
.9545734
.9779693
.9903604
.9962229
.45
.46
.8820418
.9333509
.9656183
.9839048
.9932070
.9974341
.46
.47
.9057416
.9485089
. 97434^8
. 9884095 ,
.9952823
.9982824
.47
.48
. 9257125 -
.9607799
.9811316
•9917753
.9967719
.9988673
.48
.49
.9422729
•9705563
.9863266
.9942506
. 9978245 -
.9992644
.49
• 50
.9557852
.9782207
.9902398
.9960421
.9985564
.9995297
.50
538
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n=42 r-10
n=42 r= 9
n=42 v - 8
n=42 r- 7
n=42 r- 6
n=42 r= 5
p
.01
.0000000
.0000000
.0000000
.0000002
.OOOOO38
.0000625,
.01
.02
.0000000
.0000001
.0000016
.0000187
.0001809
.0014700
.02
.03
.0000004
.0000036
.0000311
.0002342
.0015116
.0082092
.03
.04
.0000047
.0000351
.0002282
.0012873
.0062296
.0254648
.04
.03
.0000328
.0001930
.0009991
.0044996
.0174320
.0572779
.05
.06
.0001501
.0007352
.0031518
.0118124
.0381952
.1052217
.06
.07
.0005177
.0021585-
.0079288
.0254516
.0707189
.1682447
.07
.08
.0014509
.0052706
.OI68985-
.0474631
.1158089
.2432648
.08
.09
.0034679
.0111552
.0317303
.0792815,
.1727694
.3260560
.09
.10
.0073092
.0210887
.0539163
.1214472
.2396264
.4121041
.10
.11
.0139122
.0363838
.0845114
.1735164
.3135418
.4972607
.11
.12
.0243379
.0582058
.1239495-
.2341484
.3912839
.5781477
.12
.13
.0396608
.0873978
.1719635-
.3013212
.4696521
.6523313
.13
.14
.0608387
.1243470
.2276148
.3726111
.5458012
.7183226
.14
.15
.0885857
.1689152
.2894096
.4454784
.6174432
.7754648
.15
.16
.1232691
.2204377
.3554734
.5175163
.6829350,
.8237645,
.16
.17
.1648469
.2777866
.4237486
.5866372
.7412749
.8637067
.17
.18
.2128517
.3394824
.4921842
.6511880
.7920339
.8960823
.18
.19
.2664226
.4038323
.5588969
.7099974
.8352518
.9218430
.19
.20
.3243761
.4690763
.6222882
.7623677
.8713184
.9419892
.20
.21
.3853048
.5335215-
.6811154
.8080261
.9008590
.9574906
.21
.22
.4476890
.595.6528
.7345172
.8470515,
.9246320
.9692360
.22
.23
.5100087
.6542116
.7820026
.8797906
.9434472
.9780058
.23
.24
.5708430
.7082407
.8234122
.9067745-
.9581040
.9844624
.24
.25
.6289497
.7570975-
.8588619
.9286433
.9693491
.9891519
.25
. 26
.6833194
.8004408
.8886794
.9460829
.9778511
.9925133
.26
.27
•7332053
.8381977
.9133393
.9597760
.9841887
.9948922
.28
.7781278
.8705176
.9334048
.9703671
.9888482
•9965546
.28
.29
.8178598
.8977212
.9494772
.9784402
.9922281
•9977022
.29
.30
.8523972
.9202482
.9621562
.9845071
.9946478
.9984848
.30
• 3l
.8819199
.9386096
.9720104
.9890032
.9963576
.9990121
.31
• 32
.9067480
.9533467
.9795584
.9922898
.9975504
.9993632
.32
• 33
.9272992
.9649976
.9852580
.9946602
.9983720
.9995941
.33
.34
.9440478
.9740733
.9895016
.9963471
.9989309
.9997443
.34
. 35
.9574910
,9810406
.9926174
.9975317
.9993063
.9998407
.35
• 36
.9681203
.9863128
.9948739
.9983527
.9995553
.9999020
.36
.37
.9764011
.9902458
.9964858
.9989143
.9997184
.9999404
.37
.38
.9827582
.9931384
.9976215,
.9992934
.9998238
.9999642
.38
.39
.9875678
.9952361
.9984109
.9995460
.9998912
.9999787
.39
.4o
.9911543
•9967359
.9989521
.9997120
.9999336
.9999875,
.40
.41
.9937901
.9977933
.9993181
.9998197
.9999600
.9999928
.41
.42
.9956994
.9985282
.9995622
.9998886
.9999762
.9999959
.42
.43
.9970624
.9990317
.9997227
.9999321
•9999861
.9999977
.43
.44
.9980213
.9993718
.9998268
.9999592
.9999919
.9999987
.44
.45
.9986860
.9995982
.9998934
.9999758
.9999954
.9999993
.45
.46
.9991399
.9997467
.9999353
.9999859
•9999974
.9999996
.46
.47
-9994453
.9998427
.9999613
.9999919
.9999986
.9999998
.47
.48
.9996476
.9999037
.9999772
.9999954
.9999992
.9999999
.48
.49
•9997795,
.9999420
.9999868
.9999974
.9999996
.9999999
.49
• 50
.9998642
.9999656
.9999925-
.9999986
.9999998
1.0000000
.50
339
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 q n-s
p
n=42 r= 4
n=42 r- 3
n=42 r- 2
n=42 r= 1
n=43 r=38
n=43 r=37
p
.01
.0008265-
.0085839
.0661823
.3443408
.0000000
.0000000
.01
.02
.0097810
.0515495,
.2050488
.5719493
.0000000
.0000000
.02
.03
.0567055,
.13H973
.3603448
.721/643
.0000000
.0000000
.03
.04
.0862074
.2357276
.5048640
.8199506
.0000000
.0000000
.04
.05
.1568926
.3510136
.6276360
.8840178
.0000000
.0000000
.05
.06
.2455905,
.4654053
.7262727
.9256348
.0000000
.0000000
.06
.07
.5587515-
.5710431
.8025251
.9525448
.0000000
.0000000
.07
.08
.4561255,
.6636023
.8598011
.9698638
.0000000
.0000000
.08
.09
.5299899
.7414769
.9018546
.9809569
.0000000
.0000000
.09
.10
.6165540
.8048923
.9321557
.9880275-
.0000000
.0000000
.10
.11
.6928466
.8551509
.9536402
.9925118.
.0000000
.0000000
.11
.12
.7584548
.8940705,
.9686591
.9953412
.0000000
.0000000
.12
.13
.8131926
.9236063
.9790254
.9971172
.0000000
.0000000
.13
.14
.8577666
.9456214
.9860974
.9982261
.0000000
.0000000
.14
.15
.8952880
.9617664
.9908698
.9989146
.0000000
.0000000
.15
.16
.9210480
.9734315-
.9940575-
.9993397
.0000000
.0000000
.16
.17
.9423586
.9817440
.9961659
.9996007
.0000000
.0000000
.17
.18
.958450*4
.9875911
..9975475-
.9997600
.0000000
.0000000
.18
.19
.9704156
.9916538
,9984445-
.9998567
.0000000
.0000000
.19
.20
.9791845
.9944438
.9990217
.9999149
.0000000
.0000000
.20
.21
.9855225,
.9963383
.9993899
.9999498
.0000000
.0000000
.21
.22
.9900440
.9976106
.9996226
.9999706
.0000000
.0000000
.22
.23
.9932290
.9984561
.9997686
.9999829
.0000000
.0000000
.23
.24
.9954451
.9990121
.9998593
.9999901
.0000000
.0000000
.24
.25
.9969688
•9993740
.9999151
.9999943
.0000000
.0000000
.25
.26
.9980043
.9996071
.9999493
.9999968
.0000000
.0000000
.26
.27
.9986999
.9997558
•9999699
.9999982
.0000000
.0000000
.27
.28
.9991620
.9998497
.9999823
.9999990
.0000000
.0000000
.28
.29
.9994656
•9999084
.9999897
.9999994
.0000000
.0000000
•29
.30
.9996628
.9999447
.9999941
.9999997
.0000000
.0000000
.30
.31
.9997895,
.9999670
.9999966
.9999998
.0000000
.0000000
.31
.32
.9998700
.9999805-
.9999981
.9999999
.0000000
.0000000
.32
*33
•9999206
.9999886
.9999989
1.0000000
.0000000
.0000000
.33
.34
.9999520,
.9999934
*9999994
1.0000000
.0000000
.0000000
.34
.35
.9999713
.9999962
.9999997
1.0000000
.0000000
.0000000
.35
.36
.9999831
.9999979
.9999998
1.0000000
.0000000
.0000000
.36
.37
.9999901
.9999988
•9999999
1.0000000
. .0000000
.0000000
.37
.38
.9999943
-9999993
.9999999
1.0000000
.0000000
.0000000
.38
.39
.9999967
.9999996
1.0000.000
1.0000000
.0000000
.0000000
.39
.40
.9999982
.9999998
1.0000000
1.0000000
.0000000
.0000000
.40
.41
.9999990
.9999999
1.0000000
1.0000000
.0000000
.0000000
.41
.42
•9999994
.9999999
1.0000000
1.0000000
.0000000
.0000000
.42
.43
.9999997
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.43
.44
.9999998
1.0000000
1.OQOOOOO
1.0000000
.0000000
.0000000
.44
.45
.9999999
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.45
.46
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.46
.47
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000001
'.47
.48
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000002
.48
.49
1.0000000
1.0000000
1.0000000
1.0000000
.0000001
.0000004
.49
.50
1.0000000
1.0000000
a.0000000
1.0000000
.0000001
.0000008
.50
540
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-8
p
n-43 r=36
n=43 r=35
n=43 r=34
n=43 r=33
n=43 r=32
n=43 r=31
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
« 05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0006000
.0000000
.0000000 •
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000 (
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000■
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.34
.35
.0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.35
.36
.0000000
.0000000
.0000000
.0000001
.0000003
.0000016
.36
.37
.0000000
.0000000
.0000000
.0000001
.0000007
.0000031
.37
.38
.0000000
.0000000
.0000000
.0000003
.0000013
.0000060
.38
.39
.0000000
.0000000
.0000001
.0000005,
.0000026
.0000112
.39
.40
.0000000
.0000000
.0000002
.0000011
.0000049
.0000203
.40
.41
.0000000
.0000001
.0000004
.0000020
.0000091
.0000361
.41
.42
.0000000
.0000001
.0000008
.0000038
.0000165-
.0000630
.42
.43
.0000000
.0000003
.0000015,
.0000071
.0000292
.0001075,
.43
.44
.0000001
.0000006
.0000029
.0000128
.0000509
.0001800
.44
.45
.0000002
.0000011
.0000053
.0000228
.0000868
.0002956
.45
.46
.0000004
.0000020
.0000095,
.0000396
.0001454
.0004765-
.46
.47
.0000007
.0000037
.0000169
.0000676
.0002390
.0007544
.47
.48
.0000013
.0000067
.0000295,
.0001134
.0003860
.0011736
.48
.49
.0000025-
.0000120
.0000505,
.0001870
.0006129
.0017952
.49
.50
.0000045-
.0000210
.0000851
.0003031
.0009570
.0027008
.50
341
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n=43 r=30
n=43 r=29
n=43 r=28
11=43- r=27
n=43 r =26
n=43 r=25
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.OOOOO0O
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.000000Q
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.‘18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
•19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.23
.24
.0000000
.0000000
.0000000
.0000001
.0000004
.0000018
.24
.25
.0000000
,0000000
.0000000
.0000002
.0000009
.0000039
.25
.26
.0000000
.0000000
.0000001
.0000004
.0000020
.0000084
• 26
.27
.0000000
.0000000
.0000002
.0000010
.0000042
.0000171
.27
.28
.0000000
.0000001
.0000005-
.0000021
.0000088
.0000336
.28
.29
.0000000
.0000002
.0000010
.0000044
.0000175-
.0000639
.29
.30
.0000001
.0000005-
.0000021
.0000088
.0000337
.0001177
.30
.31
.0000002
.0000010
.0000043
.0000172
.0000630
.0002100
.31
.32
.0000004
.0000020
.0000085,
.0000326
.0001141
.0003642
.32
.33
.0000009
.0000040
.0000163
.0000601
.0002010
.0006144
.33
.34
.0000018
.0000079
.0000305,
.0001075-
.0003447
.0010098
.34
.35
.0000036
.0000149
.0000555-
.0001873-
.0005761
.0016192
.35
.36
.0000070
.0000276
.0000983
.0003184
.0009398
.0025356
.36
.37
.0000132
.0000497
.0001700
.0005285-
.0014978
.0038820
.37
.38
.0000241
.0000874
.0002871
.0008572
.0023346
.0058163
.38
.39
.0000431
.0001502
•0004740
.0013602
.0035619
.0085359
.39
.40
.0000754
.0002524
.0007658
.0021135-
.0053241
.0122805-
.40
.41
.0001290
.0004153
.0012119
.0032180
.0078028
.0173328
.41
.42
.0002162
.0006695,
.0018799
.0048048
.0112201
.0240168
.42
.43
.0003551
.0010582
.0028602
.0070403
.0158409
.0326916
.43
.44
.0005720
.0016409
.0042712
.0101296
.0219716
.0437417
.44
.45
.0009042
.0024980
.0062641
.0143195-
.0299564
.0575622
.45
.46
.0014035-
. 0037352,
.0090274
.0198993
•0401694
.0745405,
.46
.47
.0021403
.005489T
.0127902
.0271981
.0530024
.0950337
.47
.48
.0032083
.0079315,
.0178241
.0365789
.0688481
.1193434
.48
.49
.0047294
.0112738
.024*1427
.0484289
.0880795,
.1476904
.49
.50
.0068591
•0157697
.0329970
.0631447
.1110264
.1801888
.50
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-s
p
n~43 r =24
n=43 r=23
n-43 r=22
n=43 r=21
n=43 r=20
n=43 r=19
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.OOO0OOO
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.12
.13
.0000000
.0000000
.0000000
.0000000
.OOOO0O1
.0000005,
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000003
.0000016
.14
.15
.0000000
.0000000
.0000000
.0000002
.0000009
.0000045,
.15
.16
.0000000
.0000000
.0000001
.0000005,
.0000026
.0000119
.16
.17
.0000000
.0000001
.0000003
.0000015,
.0000069
.0000287
.17
.18
.0000000
.0000002
.000.0008
.0000039
.0000167
.0000651
.18
.19
.0000001
.0000005-
.0000022
.0000094
.0000378
.0001386
.19
.20
.0000002
.0000012
.0000052
.0000215,
.0000810
.0002792
.20
.21
.0000006
.0000028
.0000120
.0000464
.0001645-
.0005348
.21
.22
.0000015-
.0000065,
.0000260
.0000950-
.0003184
.0009786
.22
.23
.0000034
.0000142
.0000537
.0001859
.0005898
.0017,169
.23
.24
.0000076
.0000296
.0001062
.0003485-
.0010491
.0028978
.24
.25
.0000160
.0000592
.0002015-
.0006282
.0017970
.0047189
.25
• 26
.0000322
.0001138
.0003681
.0010918
.0029725,
.0074332
. 26
.27
.0000627
.0002107
.0006491
.0018342
.0047599
.0113518
.27
. 28
.0001176
.0003770
.0011072
.0029851
.0073941
.0168418
.28
.29
.0002135-
.0006529
•.0018311
.0047156
.0111637
.0243192
.29
.30
.0003754
.0010969
.0029409
.0072436
.0164102
.0342341
.30
.31
.0006407
.0017911
.0045954
.0108372
.0235222
.0470508
.31
.32
.0010634
.0028464
.0069962
.0158144
.0329237
.0632214
.32
. 33
.0017187
.0044093
.0103922
.0225394
.0450572
.0831556
.33
.34
.0027088
.0066663
.0150801
.0314129
.0603608
.1071882
.34
.35
.0041680
.0098481
.0214016
.0428581
.0792409
.1355476
.35
• 36
.0062683
.0142314
.0297364
.0573008
.1020429
.1683276
.36
.37
.0092234
.0201373
.0404901
.0751450,
.1290210
.2054665,
.37
.38
.0132911
.0279258
.0540775,
.0967462
.1603098
.2467359
.38
.39
.0187727
.0379864
.0709007
.1223819
.1959020
.2917295-
.39
.4o
.0260101
.0507235,
.0913241
.1522250-
.2356327
.3398923
.40
.41
.0353774
.0665373
.1156477
.1863187
.2791728
.3905222
.41
.42
.0472688
.0858008
.1440793
.2245592
.3260377
.4428100
.42
.43
.0620824
.1088343
.1767100
.2666847
.3755824
.4958763
.43
.44
.0801989
.1358790
.2134936
.3122758
.4270663
.5488138
.44
.45
.1019576
.1670708
.2542330
.3607645,
.4796475,
.6007321
.45
.46
.1276309
.2024191
.2985755
.4114544
.5324419
.•6507993
.46
.47
.1573980
.2417889
.-3460164
.4635496
.5845620
.6982793
.47
.48
.1913214
.2848927
.3959159
.5161910
.6351588
.7425602
.48
.49
.2293271
.3312897
.4475212
.5684967
.6834611
.7831751
.49
• 50
.2711920
.3803958
.5000000
.6196042
.7288080
.8198112
.50
832939 0 - 50 - 23
343
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
n-s
q
p
n=43 r-18
n-43 r=17
n=43 r=16
n-43 r=15
n=43 r=l4
n-43 r=l3
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.00,00000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.00,00000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.00.00000
.0000000
.0000000
.0000000
.0000001
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000001
.0000009
.06
.07
.0000000
.0000000
.0000000
.0000001
.0000008
.0000048
• 07
.08
.0000000
.0000000
.0000001
.0000006
.0000037
.0000202
.08
.09
.0000000
.0000001
.0000005-
.0000027
.0000143
.0000692
.09
.10
.0000001
.0000003
.0000019
.0000098
.0000467
.0002018
.10
.11
.0000002
.0000012
•.0000065-
.0000307
.0001321
.0005149
.11
.12
.0000008
.0000042
.0000197
.0000848
.0003319
.0011772
.12
.13
.0000026
.0000124
.0000534
.0002105,
.0007544
.0024528
.13
.14
.0000076
.0600330
.0001314
.0004769
.0015745-
.0047210
.14
.15
.0000200
.0600807
.0002971
.0009979
.0030520
.0084840
.15
.16
.0000486
.0001822
.0006238
.0019485-
.0055458
.0143592
• 16
.17
.0001099
.0603841
.0012271
.0035791
.0095186
.0230513
-.17
.18
.0002327
.0007615-
.0022781
.0062262
.0155290
.0353062
.18
.19
.0004651
.0014286
.0040150,
.0103158
.0242094
.0518504
.19
.20
.0008817
.0025501
.0067521
.0163566
.0362280
.0733213
.20
.21
.0015935,
.0043509
.0108819
.0249215,
.0522399
.1001989
.21
.22
.0027574
.0071236
.0168704
.0366171
.0728298
.1327453
.22
.23
.0045846
.0112311
.0252411
.0520429
.0984538
.1709625-
.23
.24
.0073473
.0171017
.0365504
.0717434
.1293870
.2145714
.24
• 25
.0113811
.0252177
.0513537
.0961582
.1,656825-
.2630164
.25
.26
.0170820
.0360942
.0701643
.1255751
.2,071481
.3154937
• 26
.27
.0248968
.0502503
.0934103
.1600914
.2533427
.3710006
.27
.28
.0353055-
.0681748
.1213918
.1995881
.3035932
.4283992
.28
.29
.0487976
.0902875-
.1-542444
.2437211
.3570299
.4864884
.29
.30
.0658419
.1169005,
.1919127
.2919288
.4126380
.5440768
.30
.31
.0868522
.1481838
.2341359
.3434576
.4693173
.6000491
.31
.32
.1121522
.1841370
.2804499
.3974013
.5259471
.6534216
.32
. 33
.1419426
.2245732
.3302031
.4527521
.5814478
.7033837
.33
.34
.1762724
.2691141
.3825873
.5084567
.6348367
.7493222
.34
.35
.2150204
.3171997
.4366793
.5634739
.6852717
.7908298
.35
• 36
.2578856
.3681108
.4914905,
.6168286
.7320820
.8276996
.36
.37
.3043912
.4210031
.5460194
.6676569
.7747841
.8599067
.37
.38
.3538999
.4749498
.5993031
.7152415,
.8130843
.8875822
.38
.39
.4056413
. 5289896
.6504636
.7590339
.8468692
.9109815-
.39
.40
.4587483
.5821757
.6987460
.7986634
.8761855,
.9304510
.40
.41
.5123005-
.6336217
.7435452
.8339352
.9012145,
.9463956
.41
.42
.5653696
.6825418
.7844218
.8648169
.9222419
.9592492
.42
.43
.6170654
.7282818
.8211059
.8914178
.9396269
.9694493
.43
.44
.6665767
.7703399
.8534902
.9139632
.9537730
.9774176
.44
.45
.7132061
.8083765,
.8816146
.9327651
.9651015,
.9835453
.45
.46
.7563947
.8422130
.9056440
.9481939
.9740301
.9881838
.46
.47
.7957374
.8718218
.9258422
.9606518
.9809552
.9916397
.47
.48
.8309874
.8973078
.9425449
.9705487
.9862406
•9941737
.48
.49
.8620509
.9188861
.9561318
.9782838
.9902094
.9960018
.49
• 50
.8889736
.9368553
.9670030
.9842303
.9931409
.9972992
.50
344
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-43 r-12
n=43 r=ll
n=43 r*10
n-43 r- 9
n-43 r* 8
n=^3 r= 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.01
.02
.0000000
.0000000
.0000000
.0000002
.0000020
.0000219
.02
.03
.0000000
.0000000
.0000005-
.0000044
.0000372
.0002726
.03
.04
.0000001
.0000007
.0000060
.0000429
.0002706
.0014850-
.04
.05
.0000009
.0000063
.0000408
.0002333
.0011741
.0051462
.05
.06
.0000058
.0000346
.0001850,
.0008784
.0036714
.0133953
.06
.07
.0000272
.0001387
.0006326
.0025624
.0091554
.0286203
.07
.08
.0000996
.0004424
.0017564
.0062009
.0193436
.0529307
.08
.09
.0003020
.0011847
.0041597
.0130070
.0360099
.0876954
.09
.10
.0007870
.0027620
.0086872
.0243715-
.0606694
.1332651
.10
.11
.0018139
.0057550,
.0163841
.0.416778
.0943020
.1889192
.11
.12
.0037769
.0109261
.0284020
.0660950,
.1371733
.2530046
.12
.13
.0072194
.0191816
.0458666
.0983913
.I8878OO
.3232042
.13
.14
.0128264
.0314978
.0697299
.1388045,
.2479143
.3968577
.14
.15
.0213923
.0488225,
.1006351
.1869894
.3128199
.4712731
.15
.16
.0337630
.0719641
.1388161
.2420434
.3814003
.5439833
.16
.17
.0507587
.1014877
.1840466
.3026002
.4514396
.6129256
.17
.18
.0730884
.1376330
.2356452
.3669688
.5208049
.6765403
.18
.19
.1012663
.1802667
.2925305-
.4332946
.5876060
.7337957
.19
.20
.1355424
.2288740
.3533162
.4997187
.6503041
.7841579
.20
.21
.1758577
..2825906
.4164303
.5645162
.7077667
.8275210
.21
.22
.2218279
.3402672
.4802410
.6262030
.7592748
.8641192
.22
.23
.2727594
.4005587
.5431754
.6836035,
.8044939
.8944316
.23
.24
.3276926
.4620241
.6038185-
.7358818
.8434191
.9190936
.24
.25
.3854688
.5232277
.6609866
.7825386
.8763073
.9388197
.25
.26
.4448095-
.5828292
.7137709
.8233828
.9036043
.9543426
.26
.27
.5044024
.6396571
.7615532
.8584859
.9258772
.9663674
.27
.28
.5629827
.6927596
.8039969
.8881260
.9437542
.9755418
.28
.29
.6194031
.7414324
.8410196
.9127304
.9578765-
.9824387
.29
.30
.6726891
.7852248
.8727525,
.9328206
.968861^
.9875493
.30
.31
.7220744
.8239262
.8994937
.9489639
.9772781
.9912830
.31
.32
.7670178
.8575398
.9216596
.9617344
.9836325-
.9939732
.32
.33
.8072020
.8862455,
.9397396
.9716835,
.9883607
.9958851
.33
.34
.8425181
.9103593
.9542565-
.9793189
.9918290
.9972256
.34
.35
.8730387
.9302913
.9657333
.9850925-
.9943374
.9981528
.35
.36
.8989845-
.9465077
.9746696
.9893948
.9961263
.9987857
.36
.37
.9206874
.9594967
.9815236
.9925546
.9973843
.9992118
.37
.38
.9385544
.9697413
.9867027
.9948420
.9982568
.9994950-
.38
.39
.9530336
.9776988
•9905584
.9964743
.9988536
.9996806
.39
.40
.9645857
.9837865,
.9933869
.9976224
.9992561
.9998006
.40
.41
.9736607
.9883739
.9954314
.9984185-
.9995238
.9998772
.41
.42
.9806804
.9917787
.9968875-
.9989625-
.9996993
.9999254
.42
.43
.9860272
.9942679
.9979092
.9993289
.9998128
.9999553
.43
.44
.9900373
.9960603
.9986155,
.9995720
.9998851
.9999736
.44
.45
.9929986
.9973313
.9990965-
•9997310
.9999305-
.9999846
.45
.46
.9951515,
.9982188
•.•9994190
.9998335-
.9999585,
.9999912
.46
.47
.9966923
.9988289
.9996321
.9998984
.9999757
.9999950,
.47
.48
•9977777
.9992418
.9997705,
.9999300
.9999859
.9999972
.48
.49
.9985300
.9995168
.9998591
.9999639
.9999920
.9999985-
.49
• 50
.9990430
.9996969
.9999149
.9999790
.9999955,
•9999992
.50
545
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n- s
p
n=43 r= 6
n-43 v - 5
n=43 r= 4
2
II
-£=•
II
v>)
n=43 r= 2
n=43 r= 1
p
.01
.0000044
.0000701
.0009041
.0091598
.0689639
.3508974
.01
.02
.0002067
.0016362
.0106164
.0546195,
.2123868
.5805103
.02
.03
.0017126
.009^641
.0395383
.1380717
.3711873
.7301114
.03
.04
.0069990
.0278945-
.0921882
.2464931
.5174675-
.8271525,
.o 4
.05
.0194243
.0622586
.1665987
.3648447
.6404551
.8898169
.05
.06
.0422168
.1135119
.2567114
.4810574
.738234^
.9300967
.06
.07
.0775457
.1801788
.3549933
.5872469
.8130265-
.9568667
.07
.08
.1260054
.2586936
.4543237
.6792982
.8686061
.9722747
.08
.09
.1865652
.3444101
. 5490238
.7559109
.9089738
.9826707
• 09
.10
.2568741
.4325291
.6352078
.8176187
.9377429
.9892247
.16
.11
.3337509
.5187751
.7107000
.8659847
.9579160
.9933355-
.11
.12
.4137075,
•5997845,
.7747287
.9030211
.9718610
.9959003
.12
.13
.4934004
.6732433
.8275464
.9308108
.9813774
.9974920
.13
.14
.5699542
.7378448
.8700663
.9512881
.9877954
.998474^
.14
.15
.6411464
.7931383
.9035598
.9661319
.9920765-
.9990774
.15
.16
.7054677
.8393299
.9294294
.9767316
.9949026
.9994454
.16
.17
.7620883
.8770775-
.9490541
.9841957
.9967498
• 9996686
.17
.18
.8107626
.9073085,
.9636957
.9893832
.9979457
.9998032
.‘18
.19
.8517041
.9310718
.974^509
.9929441
.9987128
.9998839
.19
.20
.8854526
.9494282
.9822362
•9953594
.9992003
.9999319
.20
.21
.9127516
•9633773
.9877938
•9969791
.9995075-
.9999604
.21
.22
.9344448
.9778137
.9917087
.9980533
.9996992
.9999771
.22
.23
.9513957
.9815071
.9944312
.9987580
.9998179
.9999868
.23
.24
.9644300
.9870983
.9963012
.9992154
.9998907
.9999925,
.24
.25
.9742998
.9911061
.9975701
.9995093
.9999349
.9999958
.25
.26
.9816633
•9939410
.9984210
.9996961
.9999616
.9999976
• 26
.27
.9870786
.9959203
.9989850,
.9998136
.9999776
.9999987
.27
.28
.9910060
.9972847
.9993546
.9998869
.9999870
.9999993
.28
.29
.9938156
.9982136
.9995940
.9999320
.9999925,
.9999996
.29
.30
.9957989
.9988382
.9997474
.9999595,
.9999958
.9999998
.30
.31
.9971805-
.9992531
.9998445,
.9999762
.9999976
.9999999
.31
.32
.9981305-
.9995253
.9999054
.9999861
.9999987
.9999999
.32
.33
.9987753
.9997019
.9999430
.9999920
.9999993
1.0000000
.33
.34
.9992075-
.9998149
.9999661
.9999954
.9999996
1.0000000
.34
.35
.9994934
.9998864
.9999800
.9999974
.9999998
l.OOOO'OOO
.35
.36
.9996801
.9999312
.9999884
.9999986
.9999999
1.0000000
.36
.37
.9998005,
.9999588
.9999933
.9999992
.9999999
1.0000000
.37
.38
.9998772
•9999756
.9999962
.9999996
1.0000000
1.0000000
.38
.39
.9999253
.9999858
.9999979
•9999998
1.0000000
1.0000000
.39
.40
.9999552
.9999918
.9999988
.9999999
1.0000000
3.0000000
.40
.41
.9999735-
.9999953
.9999994
•9999999
1.0000000
1.0000000
.41
.42
.9999845-
•999997^
.9999997
1.0000000
1.0000000
1.0000000
.42
.43
.9999911
.9999985,
.9999998
1.0000000
1.0000000
1.0000000
.43
.44
.9999949
•9999992
.9999999
1.0000000
1.0000000
1.0000000
.44
.45
.9999972
.9999996
.9999999
1.0000000
1.0000000
1.0000000
.45
.46
.9999984
.9999998
1.0000000
1 .000000^
1.0000000
1.0000000
.46
.47
.9999991
.9999999
1.0000000
1.0000000
1.0000000
1 .. 0000000
.47
.48
.9999995,
•9999999
1.0000000
1.0000000
1.0000000
1.0000000
.48
.49
•9999998
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
.49
.50
.9999999
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
.50
346
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
I
s-r
V ’ 8
p
n-44 r-39
n=44 r=38
n=44 r=37
n=44 r=36
n-44 r-35
n=44 r=34
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
. 0000000’
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.OOO'^OOO
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
• 15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0060000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.28
.29
.OOOOO0O
.0000000
.0000000
.0000000
.0000000
.0000000
-29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
. 0000Q00
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.33
.34
.0000000
.6000000
.0000000
.0000000
.0000000
.0000000
.34
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.35
• 36
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.37
.38
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.38
.39
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.39
.40
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005,
.40
.41
.0000000
.6000000
.0000000
.0000000
.0000002
.0000011
.41
.42
.0000000
.6000000
.0000000
.0000001
.0000004
.0000021
.42
.43
.0000000
.6000000
.0000000
.0000001
.0000008
.0000039
.43
.44
.0000000
.6000000
.0000000
.0000003
.0000016
.0000072
.44
.45
.0000000
.6000000
.0000001
.0000006
.0000030
.0000131
.45
.46
.0000000
.0000000
.0000002
.0000011
.0000055-
.0000234
.46
.47
.0000000
.0000001
.0000004
.0000021
.0000099
.0000407
.47
.48
.0000000
.0000001
.0000008
.0000039
.0000177
.0000698
.48
.49
.0000000
.0000002
.0000014
.0000071
.0000309
.0001174
.49
.50
.0000001
.0000005-
.0000026
.0000127
.0000530
.0001941
.50
547
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
I
s-r
s q ii-s
p
n=44 r=33
n=44 r-32
n-44 r=31
n=44 r =30
n=44 r-29
n=44 r=28
p
.01
.0000000
.0000000
.OO'OOOOO
.ooooooo
.ooooooo
.ooooooo
.01
.02
. 000000 ^
.0000000
.OOOOOOO
.ooooooo
.ooooooo
.ooooooo
.02
.03
.0000000
.0000000
.OOOOOOO
.ooooooo
.ooooooo
.ooooooo
.03
.04
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.04
.05
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.05
.06
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.06
.07
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.07
.08
.0000000
.0000000
.ooooooo
. ooooooo
.ooooooo
.ooooooo
.08
.09
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.09
.10
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.10
.11
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.11
.12
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.OOOOOOO
.12
.13
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.13
.14
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.OOOOOOO
.14
.15
.0000000
.ooooooo-
.ooooooo
.OOOOOOO
.ooooooo
.OOOOOOO
.15
.16
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
• 16
.17
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.17
.18
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.18
.19
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.OOOOOOO
.19
.20
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.OOOOOOO
.20
.21
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.21
.22
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.22
.23
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.OOOOOOO
.23
.24
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.OOOOOOO
.24
.25
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.0000001
.25
.26
.0000000
. 0000^00
.ooooooo
.ooooooo
.ooooooo
.0000002
.26
.27
.0000000
.ooooooo
. 00000c0
.ooooooo
.0000001
.0000004
.27
.28
.000QO00
.ooooooo
.ooooooo
.ooooooo
.0000002
.0000009
.28
.29
.0000000
.ooooooo
.ooooooo
.0000001
.0000004
.0000020
.29
.30
.0000000
.ooooooo
.ooooooo
.0000002
.0000009
.0000041
.30
.31
.0000000
.ooooooo
.0000001
.0000004
.0000020
.0000083
.31
.32
.0000000
.ooooooo
.0000002
.0000009
.0000041
.0000162
.32
.33
.0000000
.0000001
.0000004
.0000019
.0000081
.0000308
.33
.34
.0000000
.0000002
.0000009
.0000039
.0000156
.0000567
.34
.35
.O'^OOOOl
.0000004
.0000018
.0000076
.0000291
.0001016
.35
• 36
.0000002
.0000008
.0000035,
.0000144
.0000531
.0001776
.36
.37
.0000003
.0000016
.0000068
.0000267
.0000942
.0003026
.37
.38
.0000007
.0000031
.0000129
.0000481
.0001633
.0005037
.38
.39
.0000013
.0000059
.0000236
.0000849
,0002765-
.0008196
.39
.40
.0000026
.0000111
.0000423
.0001462
.0004578
.0013049
.40
.41
.0000049
.0000202
.000074?
.0002464
.0007419
.0020344
.41
.42
.0000091
.0000360
.0001273
.0004066
.0011779
.0031084
.42
.43
.0000166
.0000629
.0002140
.0006574
.0018331
.0046576
.43
.44
.0000296
.0001077
.0003525-
.0010423
.0027983
.0068489
.44
.45
.0000516
.0001808
.0005695-
.0016214
.0041928
.0098890
.45
.46
.0000882
.0002977
.0009029
.0024761
.0061696
.0140285-
.46
.47
.0001482
.0004812
.0014057
.0037142
.0089206
.0195619
.47
.48
.0002443
.0007641
.0021503
.0054754
.0126800
.0268264
.48
.49
.0003957
.0011922
.0032330
.0079362
.0177266
.0361959
.49
• 50
.0006300
.0018289
.0047799
.0113144
.0243834
.0480709
.50
348
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-8
p
n=44 r =27
n=44 r=26
n-44 r=25
n=44 r=24
n=44 r=23
n=44 r=22.
p
.01
.0000000
.0000000
.OOQOOOO
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000006
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.6000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
•0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.6000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.6000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000.000
.0000000
.0000000
.0000000
.0000000
.0000001
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005,
.17
.18
.0000000
.0000000
.0000000
.0000001
.0000003
.0000014
.18
.19
.0000000
.0000000
.0000000
.0000002
.0000008
.0000035,
.19
.20
.0000000
.0000000
.0000001
.0000004
.0000020
.0000085-
.20
.21
.0000000
.0000000
.0000002
. .Q000011
.0000048
.0000192
.21
.22
.0000000
.0000001
.0000006
.0000026
.0000108
.0000412
.22
.23
.0000001
.0000003
.0000014
.0000059
.0000233
.0000841
.23
.2.4
.0000001
.0000007
.0000032
.Q000129
.0000480
.0001643
.24
.23
.0000004
.0000016
.0000069
.0.000268
.0000948
.0003082
.25
.26
.0000008
.0000036
.0000146
.0.000534
.0001799
.0005563
.26
.27
.0000018
.0000077
.0000294
.0.001027
.0003291
.0009691
•27
.28
.0000040
.0000157
.0000571
.0.001903
.0005814
.0016331
.28
.29
.0000082
.0000310
.0001073
.0003409
.0009945,
.0.026676
.29
.30
.0000163
.0000589
.0001950-
.0005918
.0016501
.0042317
.30
.31
.0000314
.0001086
.0003435,
.0009973
.0026604
.0065303
.31
.32
.0000587
.0001941
.0005879
.0016346
.0041743
.0.098180
.32
.33
.0001066
.0003374
.0009788
.0026066
.0063837
.0.144008
.33
.34
.0001881
.0005708
.0015875-
.0040543
.0095270
.0.206333
.34
.35
.0003234
.0009412
.0025113
.0061560
.0138918
.0.289114
.35
.36
.000542!
.0015143
.0038794
.0091350,
.0198132
.0.396596
• 36
.37
.0008871
.0023800
.0058583
.0132615,
.0276678
.0.533125-
.37
.38
.0014186
.0036576
.0086557
.0188522
.0378634
.0.702916
.38
.39
.0022189
.0055018
.0125283
.0262661
.0508230
.0909784
.39
.4o
.0033977
.0081067
.0177723
.0358955,
.0669638
.1156845-
.40
.41
.0050977
.0117101
.0247311
.0481530
.0866726
.1.446228
.41
.42
.0074993
.0165947
.0337826
.0634523
.1102778
.1.778808
.42
.43
.0108246
.0230867
.0453297
.0821858
.1380209
.2153991
.43
.44
.0153400
.0315504
.0597829
•1046981
.1700294
.2569578
.44
.45
.0213561
.0423796
.0775402
.1312586
.2062938
.3021722
.45
.46
.0292235
.0559801
. 0989621
.1620335-
.2466510
.3504997
.46
.47
.0393261
.0727571
.1243449
.1970618
.2907759
.4012570
.47
.48
.0520681
.0930858
.1538928
.2362756
.3381839
.4536480
.48
.49
.0678577
.1172888
.1876924
.2792888
.3882431
.5067992
.49
• 50
.0870856
.1456076
.2256904
.3257939
.4401979
.5598021
• 50
349
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n -s
p
n=44 r=21
n-44 r=20
n=44- r=19
n=44 r=18
n-44 r=17
n=44 r=l6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
• 03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
• 07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.09
.10
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000027
.10
.11
.0000000
.0000000
.0000001
.0000003
.0000018
.0000092
.11
.12
.0000000
.0000000
.0000002
.0000012
.0000060
.0000275,
.12
.13
.0000000
.0000001
.0000008
.0000039
.0000177
.0000739
.13
.14
.0000001
.0000005-
.0000024
.0000111
.0000468
.0001798
.14
• 15
.00.00003
.0000015-
.0000068
.0000291
.0001131
.0004022
.15
.16
.0000009
.0000041
.0000177
.0000700
.0002528
.0008757
.16
• 17
.0000024
.0000106
•0000425,
.0001565-
.0005274
.0016270
.17
.18
.00.00062
.0000254
.0000955
.0003279
.0010345-
.0029888
.18
• 19
.0000148
.0000570
.0002006
.0006481
.0019200
.0052122
.19
.20
.0000334
.0001206
.0005997
.0012153
.0033905-
.0086770
.20
.21
.0000712
.0002423
.0007571
.0021726
.0057224
.0138303
.21
.22
.0001442
.0004637
.0013699
.0037180
.0092679
.0212147
.22
.23
.0002788
.0008491
.0023765-
.0061133
.0144534
.0314055,
.23
.24
.0005166
.0014928
.0039657
.0096883
.0217694
.0449967
.24
.23
.0009204
.0025275-
.0063845-
.0148402
.0317517
.0625548
.25
.26
.0015808
.0041323
.0099419
.0220252
.0449524
.0845711
.26
.27
.0026242
.0065397
.0150089
.0317422
.0619035-
.1114142
•27
.28
.0042196
.0100395-
.0220117
.0445089
.0830755,
.1432867
.28
.29
.0065856
.0149788
.0314179
.0608297
.1088350-
.1801927
.29
.30
.0099936
.0217574
.0437165-
.0811595-
.1394042
.2219175,
.30
.31
.0147695,
.0308161
.0593892
.1058650-
.1748289
.2680256
.31
.32
.0212894
•0426190
.0788793
,1351874
.2149571
.3178744
.32
. 33
.0299703
.0576297
.1025553
.1692107
.25943H
.3706443
.33
.34
.0412552
.0762821
.1306768
.2078386
.3076950-
.4253829
.34
.35
.0555921
.0989482
.1633630
.2507832
.3590176
. 4810574
.35
• 36
.0734080
.1259054
.2005685,
.2975667
.4125275,
.5366122
.36
.37
.0950791
.1577058
.2420687
.3475376
.4672591
.5910253
.37
.38
.1209003
.1931509
.2874570
.3998989
.5222040
.6433597
.38
.39
.1510548
.2332747
.3561551
.4537471
.5763645-
.6928060
.39
.40
.I85588I
.2773366
.5874547
.5081193
.6288038
.7387130
.40
.41
.2243889
.3248261
.4404515
.5620422
.6786904
.7806051
.41
.42
.2671785-
.3750798
.4942850,
.6145819
.7253314
.8181877
.42
.43
.3135107
.4273087
.5479876
.6648884
.7681962
.851340^
.43
.44
.3627836
,4806352
.6006295-
.7122326
.8069261
.8800983
.44
.45
.4142619
.5541356
.6515454
.7560328
,8413337
.9046723
.45
.46
.4671086
.5868863
.6995752
.7958711
.8713913
.9252169
.46
.47
.5204254
.6380091
.7440846
.8314970
.8972114
.9422027
.47
.48
.5732955,
.6867115-
.7850055
.8628212
.9190216
.9559867
.48
.49
.6248293
.7323210
.8218245
.8899001
.9371365-
.9669863
.49
• 50
.6742061
.7743096
.8543924
.9129144
.9519291
.9756166
.50
550
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V s
p
I n=44 r=15
n=44 r=l4
n=44 r =13
n=44 r=12
n=44 r=ll
n=44 r =10
P
.01
.0000000
.OOOOOOO
.ooooooo
.OOOOOOO
.OOOOOOO
.OOOOOOO
.01
.02
.0000000
.ooooooo
.ooooooo
.OOOOOOO
.OOOOOOO
.OOOOOOO
.02
.03
.0000000
.ooooooo
.ooooooo
.OOOOOOO
.0000001
.0000006
.03
.04
.ooooooo
.ooooooo
.ooooooo
.0000001
.0000009
.0000074
.04
.05
.0000000
.ooooooo
.0000001
.0000011
.0000080
.0000504
.05
.06
.ooooooo
.0000002
.0000012
.0000075-
.0000436
.0002266
.06
.07
.0000002
.0000010
.0000063
.0000350-
.0001732
.0007676
• 07
.08
.0000009
.0000050-
.0000265,
.0001271
.0005476
.0021120
.08
.09
.0000037
.0000193
.0000902
.0003815-
.0014525-
.0049560
• 09
.10
.0000135-
.0000622
.0002603
.0009845-
.0033545,
.0102556
.10
.11
.0000419
.0001742
.0006578
.0022474
.0069242
.0191664
.11
.12
.0001145"
.0004333
.0014892
.0046348
.0130233
.0329252
.12
.13
.0002812
.0009752
.0030725-
.0087745-
.0226506
.0526948
.13
.14
.0006305,
.0020150-
.0058557
.0154404
.0368503
.0794003
.14
.15
.0013060
.0038668
.0104203
.0255069
.0565944
.1135882
.15
.16
.0025241
.0069560
.0174638
.0398752
. 0826604
.1553325-
.16
.17
.0045888
.0118191
.0277615,
.0593826
.1155227
.2042007
.17
.18
.0079007
.0190889
.0421070
.0847064
.1552752
.2592835-
.18
.19
.0129555,
.0294612
.0612394
.1162764
.2015968
.3192756
.19
.20
.0203309
.0436467
.0857656
.1542087
.2537624
.3825967
.20
.21
.0306584
.0623113
.1160872
.1982716
.3106969
.4475283
.21
.22
.0445839
.0860112
.1523435-
.2478846
.3710615-
.5123526
.22
.23
.0627174
.1151308
.1943758
.3021532
.4333605,
.5754738
.23
.24
.0855778
.1498312
.2417205-
•3599322
.4960548
.6355137
.24
.25
.1135593
.1900159
.2936295-
.4199085,
•5576674
.6913746
.25
.26
.1467841
.2353180
.3491158
.4806946
.6168740
.7422700
.26
.27
.1852693
.2851104
.4070191
. 5409212
.6725690
.7877250,
.27
.28
.2287095,
.3385388
.4660826
.5993202
.7239060
,8275531
.28
.29
.2765807
.3945729
.5250337
.6547916
.7703127
.8618157
.29
.30
.3281416
.4529696
.5826605,
.7064498
.8114831
.8907729
.30
.31
.3824741
.5098442
.6378769
.7536485-
.8473521
.9148294
.31
.32
.4385360
.5657389
.6897724
.7959849
.8780582
.9344835,
.32
.33
.4952217
.6216866
.7376437
.8332864
.9038986
.9502811
.33
.34
.551^259
.6737618
.7810088
.8655841
.9252843
.9627777
.34
.35
.6061032
.7222171
.8196029
.8930771
.9426960
.9725090
.35
.36
.6583198
.7665043
.8533622
.9160928
.9566460
.9799707
.36
.37
.7072940
.8062794
.8823956
.9350469
.9676467
.9856051
.37
.38
.7524218
.8413935,
.9069516
.9504054
.9761866
.9897956
.38
.39
.7932896
.8718730
.9273818
.9626530
.9827141
.9928656
.39
.40
.8296723
.8978917
.9441049
.9722661
.9876267
.9950811
.4o
.41
.8615197
.9197388
.9575743
•9796931
.9912675-
.9966561
.41
.42
.8889354
.9377850-
.9682503
.9853417
.9939244
.9977590
.42
.43
.9121477
.9524505,
.9765778
.9895707
.9958337
.9985197
.43
.44
.9314795-
.9641766
.9829702
.9926874
.9971846
.9990364
.44
.45
.9473165-
.9734012
.9877993
.9949483
.9981256
.9993820
.45
.46
.9600786
.9805408
.9913890
.9965625-
.9987709
.9996097
.46
.47
.9701944
.9859770
.9940145-
.9976965,
.9992064
.9997572
.47
.48
.9780808
.9900485-
.9959036
.9984805-
.9994956
.9998514
.48
.49
.9841273
.9930476
.9972406
.9990135,
.9996845,
.9999105-
.49
.50
.9886856
.9952201
.9981711
•9993700
.9998059
.9999470
.50
351
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
. n
I
s-r
8 q n ” 8
p
n-=44 r- 9
n=44 r- 8
n=44 7
n=44 r= 6
n=44 r= 5
n-44 r- 4
p
.01
.0000000
.ooooooo
.0000003
.0000051
.0000785-
.0009866
.01
.02
.0000002
.0000024
.0000256
.-^002353
.OOI8158
.0114965-
.02
.03
.0000054
.0000442
.0003158
.0019331
.0099783
.0424943
.03
.04
.0000520
.0003191
.0017055,
.0078349
.0304662
.0983604
.04
.03
.0002804
.0013727
.0058601
.0215660
.0674756
.1765110
.05
.06
.0010459
.0042548
.0151246
.0464945-
.1221038
.2701722
.06
.07
.0030239
.0105179
.0320451
.0847301
.1924158
.3712511
.07
.08
.0072523
.0220306
.0587767
.1366205-
.2743440
.4723216
.08
.09
.0150773
. 0406616
.0965937
.2007713
.3628253
. 5676436
• 09
.10
.0280013
.0679289
.1456260
.2744396
.4527969
.6534489
.10
.11
.0474665-
.1047099
.2048507
.3541036
.5398869
.7277814
.11
.12
.0746244
.1510731
.2722890
,4360368
.6207778
.7901238
.12
.13
.1101418
.2062552
.3453297
.5167800
.6933027
.8409708
.13
.14
.154^799
.2687663
.4210912
.5974589
.7563558
.8814373
.14
.15
.2058639
.3365879
.4967541
.6639452
.8097015,
.9129456
.15
.16
.2643405-
.4074135,
.5698208
.7268857
.8537458
.9369977
.16
.17
.3279 n 29
.4788922
.6382832
.7816365-
.8893135,
.9550282
.17
.18
•3946593
.5488373
.7007003
.8281409
.9174582
.9683195-
:i8
.19
.4626138
.1653820
.7561983
,8667840
.9393138
•9779646
.19
.20
.5298358
.6770749
.•8044168
.8982477
.9559898
.9848608
.20
.21
.5945988
.7329151
.8454195-
.9233830
.9685048-
.9897227
.21
.22
.6554787
.7823^05,
.8795908
.9431060
.9777506
.9931045,
.22
.23
.7114083
.8251795,
.9075333
.9583213
.9844797
.9954264
.23
.24
.7616908
.8615810
.•9299743
.9698704
.9893070
.9970006
.24
.25
.8059808
.8919354
.•9476897
.9785014
.9927221
.' '> qQo 549
.25
.26
.8442404
.9167962
.•9614460
.9848555-
.9951058
.5987525,
• 26
.27
.8766815,
.9368095,
.9719594
.9894659
.9967477
.9992087
.27
.28
.•9037019
.9526547
.9798718
.•9927640
.9978643
.9995036
.28
.29
.9258228
.9649995,
.9857380
.9950910
.9986139
.9995920
.29
.30
.9436328
.9744678
.9900242
.9967107
.9991110
.9998110
.30
.31
.9577413
.9816196
.9931112
.9978230
.9994364
.9998853
.31
.32
.9687418
.•9869415,
.9953035,
.9985768
.9996469
.9999-512
.32
.33
.9771870
.9908438
.9968389
.9990811
.9997814
.9999592
.33
.34
.9835723
.-9936639
.9978994
.9994140
.9998663
.9999751
.34
.35
.9883282
.9956728
.9986220
.9996309
.9999192
•9999861
.35
.36
.9918181
.9970837
.9991077
.9997705-
.9999518
.9999920
.36
.37
.9943416
.9980605
.9994296
.9998591
.9999716
.9999955-
.37
.38
.9961396
.9987273
.9996402
.9999146
.9999834
.9999975-
.38
.39
.9974022
•9991761
.9997760
.9999489
•9999905-
.9999986
.39
.40
.9982759
.9994739
.9998625-
.9999698:
.9999946
.9999992
.4o
.41
.9988716
.9996687
.9999167
.9999824
.9999970
.9999996
.41
.42
.9992719
.9997943
.9999502
.9999899
.9999983
.9999998
.42
.43
.9995369
.9998741
.9999707
.9999943
•9999991
.9999999
.43
.44
.9997098
.9999240
.9999830
.9999968
.9999995,
.9999999
.44
.45
.9998208
.9999548
.9999903
.9999982
.9999997
1.0000000
.45
.46
.9998910
.9999736
.9999945,
.9999990
.9999999
1.0000000
.46
.47
.9999347
.9999848
.9999970
.9999995-
•9999999
1.0000000
.47
.48
.9999615,
.9999914
.9999983
.9999997
1.0000000
1.0000000
.48
.49
.9999777
•9999952
.9999991
.9999999
1.0000000
1.0000000
.49
.50
.9999873
.9999974
•9999995,
.9999999
1.0000000
1.0000000
.50
352
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-44 r= 3
n ~44 r = 2
n-44 r- 1
n=45 r=39
n-45 r-38
n-45 r=37
p
.01
.0097579
.0717832
.3573884
.0000000
.0006000
.0000000
.01
.02
.05777*19
.2197492
.5889001
.0000000
.0006000
.0000000
.02
.03
.1450652
.3819551
.7382080
.0000000
.0006000
.0000000
.03
.04
.2573320
.5298549
.8340664
.0000000
.0000000
.0000000
.04
.03
.3786252
.6529232
.8953250
.0000000
.0000000
.0000000
.05
.06
.4964880
.7497462
.9342909
.0000000
.0000000
.0000000
.06
.07
.6030515-
.8230253
.9589560
.0000000
.0006000
.0000000
• 07
.08
.6944429
.8768996
.9744927
.0000000
.0000000
.0000000
.08
.09
.7696866
.9156065,
.9842304
.0000000
.0000000
.0000000
.09
.10
.8296311
.9428911
.9903023
.0000000
.0000000
.0000000
.10
.11
.8760972
.9618122
.9940686
.0000000
.0000000
.0000000
.11
.12
.9112819
.9747457
.9963922
.0000000
.0000000
.0000000
.12
.13
.937384*1
.9834723
.9978180
.0000000
.0000000
.0000000
.13
.14
.9563991
.9892905-
.9986880
.0000000
.0000000
.0000000
.14
.15
.9700236
.9931266
.99.92158
.0000000
.0000000
.0000000
.15
.16
.9796390
.9956295-
.9995341
.0000000
.0000000
.0000000
.16
.17
.9863299
.9972460
.9997249
.0000000
.0000000
.0000000
.17
.18
.9909245-
.9982801
.9998386
.0000000
.0000000
.0000000
.'18
.19
.9940*101
.9989353
.9999060
.0000000
.0000000
.0000000
.19
.20
.9961276
.9993467
.9999456
.0000000
.0000000
.0000000
.20
• 2i
.9975101
.9996026
.9999687
.0000000
.0000000
.0000000
.21
.22
.9984154
.9997603
.9999821
.0000000
.0000000
.0000000
.22
.23
.9990018
.9998567
.9999899
.0000000
.0000000
.0000000
.23
.24
.9993775-
.9999151
.9999943
.0000000
.0000000
.0000000
.24
.25
.9996157
.9999501
.9999968
.0000060
.0000000
.0000000
.25
.26
.9997651
•9999710
.9999982
.0000000
.0000000
.0000000
.26
.27
.9998579
.9999833
.9999990
.0000000
.0000000
.0000000
.27
.28
•9999149
.9999904
.9999995-
.0000000
.0000000
.ccoocoo
.28
.29
.9999496
.9999946
.9999997
.0000000
.0000000
.0000000
.29
.30
.9999704
.9999970
.9999998
.0000000
.0000000
.0000000
.30
.31
.9999828
.9999983
.9999999
.0000000
.0000000
.0000000
.31
.32
.9999901
.9999991
1.0000000
.0000000
.0000000
.OOOOOQO
.32
• 33
•9999944
.9999995-
1.0000000
.0000000
.0000000
.0000000
.33
.34
.9999968
•9999997
1.0000000
.0000000
.0000000
.0000000
.34
.35
.9999982
.9999999
1.0000000
.0000000
.0000000
.0000000
.35
.36
.9999990
.9999999
1.0000000
.0000000
.0000000
.0000000
.36
.37
.9999995-
1.0000000
1.0000000
.0000000
.0000000
.0000000
.37
.38
.9999997
1.0000000
1.0000000
.0000000
.0000000
.0000000
.38
.39
.9999999
1.0000000
1.0000000
.0000000
.0000000
.0000000
.39
.40
.9999999
1.0000000
1.0000000
.0000000
.0000000
.0000000
.40
.41
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000000
.41
•' *2
1.0000000
1.0000000
i.0000000
.0000000
.0000000
.0000000
.42
.43
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000001
.43
.44
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000002
.44
.45
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.0000003
.45
.46
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.0000006
• 46
.47
1.0000000
1.0000000
1.0000000
.0000000
.0000002
.0000012
.47
.48
1.0000000
1.0000000
1.0000000
.0000001
.0000004
.0000023
.48
.49
1.0000000
1.0000000
1.0000000
.0000001
.0000008
.0000042
.49
.50
1.0000000
1.0000000
1.0000000
.0000003
.0000016
.0000077
• 50
353
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-s
p
n=45 r - J >6
n=45 r-35
n=45 r=34
n-45 r*33
n*45 r=32
n=45 r=31
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.cooOooo
.03
.04
.0000000
.0000000
.0000000
.0000000
.6000000
.0006000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
,6000000
.0000000
.10
.11
.000.0000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
. QOOQOQO
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.6000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.19
.20
.OOOOOOQ
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
. OO 0 QOOO
.0000000
.0000000
.0000000
.0000000
.21
.22
. OOOOOO'O
.0060000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0060000
.0006000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0060000
.0000000
.0000000
.0000000
.0000000
•25
.26
.0000000
.0060000
.0000000
.0000000
.0000000
.0000000
• 26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.OOOQOOO
.0000000
.0000000
.0000000
.0000600
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
•29
.30
. 00.00000
.0000000
.0000000
.0000000
.0000000
.0000001
.30
.31
. 00.00000
.0000000
.0000000
.0000000
.0000000
.0000002
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.32
.33
.0000000
.OOOOOOQ
.0000000
.0000000
.0000002
.0000009
.33
.34
.0000000
.0000000
.0000000
.0000001
.0000004
.0000019
.34
.35
-.0000000
.0000000
.0000000
.0000002
.0000009
.0000038
.35
.36
•.0000000
.0600000
.0000001
.0000004
.0000618
.0000075-
.36
.37
.0000000
.0600000
.0000002
.0000008
.0000035,
.0000142
.37
.38
.0000000
.0600001
.0000003
.0060016
.0000068
.0000263
.38
.39
.0000000
.0000001
.0000007
.0000031
.0000128
.0000475-
.39
.4o
.0000001
.0000003
.0000014
.0000060
.0000236
.0000839
.40
.41
.0000001
.0000006
.0000027
.0000112
.0000423
.00014^8
.41
.42
.0000002
.0000011
.0000050,
.0000204
.0000744
.0002446
.42
.43
.0000004
.0000021
.0000094
.0000365,
.0001279
.0004047
.43
.44
.0000009
.0000041
.0000171
.0000640
.0002154
.0006560
.44
.45
.0000017
.0000075,
.0000304
.0001097
.0003557
.0010428
.45
.46
.0000031
.0000137
.0000532
.0001846
.0005761
.0016266
.46
.47
.0000058
.0000244
.0000912
.0003047
.0009157
.0024907
.47
.48
.0000105,
.0000427
.0001535,
.0004938
.0014294
.0037463
.48
.49
.0000188
.0000735
.0002537
,0007860
.0021922
.0055375,
.49
.50
.0000329
.0001235,
.0004120
.0012294
.0033044
.0080472
.50
354
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V ’ 8
p
In -4.5 r=30
n=45 r-29
n=45 r =28
n=45 r=27
n=45 r =26
n=45 r=25
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000600
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
•.17
• 18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.20
.21
.0000000
.0000000
■.0000000
.0000000
.0000001
.0000004
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000002
.0000010
.22
.23
.0000000
.0000000
.0000000
.0000001
.0000005,
.0000024
.23
.24
.0000000
.0000000
.0000001
.0000003
.0000013
.0000055-
.24
.25
.0000000
.0000000
.0000001
.0000007
.0000030
.0000119
.25
• 26
.0000000
.0000001
.0000003
.0000016
.0000065-
.0000247
• 26
.27
.0000000
.0000002
.0000008
.0000034
.0000136
.0000492
•27
.28
.0000001
.0000004
.0000018
.0000073
.0000273
.0000944
.28
.29
.0000002
.0000009
.0000038
.0000148
.0000531
.0001750,
.29
.30
.0000004
.0000019
.0000078
.0000291
.0000997
.0003140
.30
. 3i
.0000009
.0000040
.0000155-
.0000553
.0001814
.0005462
.31
• 32
.0000019
.0000080
.0000298
.0001020
.0003202
.0009227
.32
. 33
.0000040
.0000156
.0000558
.0001828
.0005491
.0015160
.33
.34
.0000079
.0000296
.0001014
.0003182
.0009165,
.0024262
.34
.35
.0000151
.0000545,
.0001793
.0005396
.0014907
.0077869
.35
• 36
.0000283
.0000979
.0003088
.0008921
.0023657
.0057714
.36
*37
.0000517
.0001713
.0005189
.0014395-
.0036670
.0085975,
.37
.38
.0000919
.0002926
.0008514
.0022694
.0055573
.0125310
.38
.39
.0001596
.0004883
.0013653
.0034992
.0082421
.0178860
.39
.4o
.0002708
.0007966
.0021420
.0052813
.0119729
.0250216
.40
.41
.0004496
.6012718
.0032904
.0078088
.0170487
.0343340
.41
.42
.0007305,
.6019887
.0049525,
.0113194
.0238137
.0462439
.42
.43
.0011630
.6030476
.0073094
.0160973
.0326512
.0611778
.43
.44
.0018149
.0045805,
.010585c-
.0224726
.0439727
.0795^56
.44
.43
.0027785-
.0067561
.0150492
.0308164
.0582015,
.1017134
.45
.46
.0041751
.0097847
.0210182
.0415316
.0757518
.1279749
.46
.47
.0061612
.0139220
.0288511
.0550387
.0970034
.1585218
.47
.48
.0089336
.0194703
.038942^
.0717566
.1222732
.1974174
.48
.49
.0127335-
.0267766
.0517102
.0920790
.1517866
.2325746
.49
• 50
.0178489
.0362271
.0675782
.1163466
.1856490
.2757422
• 50
355
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
ST
s q n-s
p
n=45 r=24
n=45 r =23
n-45 r-22
n=45 r-21
■ ■ . ■■
/
n=45 r-20
n=45 r =19
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.ooooooc
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000002
.0000012
.13
.14
.0000000
.0000000
.0000000
.0000001
.0000008
.0000036
.14
.15
.0000000
.0000000
.0000001
.0000005-
.0000023
.0000102
.15
.16
.0000000
.0000001
.0000003
.0000014
.0000063
.0000261
.16
.17
.0000000
.0000002
.0000008
.0000038
.0000160
.0000619
.17
.18
.0000001
.0000005-
.0000023
.0000097
.0000380
.0001371
.18
.19
.0000003
.0000013
.0000057
.0000228
.0000842
.0002856
.19
.20
.0000007
.0000033
.0000135-
.0000508
.0001764
.0005628
.20
.21
.0000018
.0000078
.0000301
.0001071
.0003504
.0016544
.21
.22
.0000044
.0000175-
.0000638
.0002144
.0006630
.0018865,
.22
.23
.0000099
.0000373
.0001289
.0004099
.0012004
.0032359
.23
.24
.0000213
.0000759
.0002489
.0007509
.0020863
.0053391
.24
.25
.0000438
.0001481
.0004612
.0013221
.0034917
.0084984
.25
.26
.0000863
.0002778
.0008226
.0022442
•0056428
.0130836
• 26
.27
.0001638
.0005019
.0014159
.0036814
.0088264
.0195269
.27
.28
.0002998
.0008759
.0023573
.0058492
.0133917
.0283109
. 28
.29
.0005305-
.0014797
.0038038
.0090196
.0197461
.0399473
.29
.30
.0009093
.00242^6
.0059603
.0135227
.0283451
.0549494
.30
.31
.0015129
.0038601
.0090845-
.0197440
.0396738
.0737967
.31
.32
.0024*169
.0059803
.0134889
.0281149
.0542223
.0968979
.32
.33
.0038531
.0090293
.0195387
.0390979
.0724552
.1245516
.33
.34
.0059150,
.0133031
.0276447
.0531643
.0947763
.1569118
.34
.35
.0088636
.0191487
.0382496
.0707667
.121493 1 *
.1939601
.35
.36
.0129792
.0269579
.0518090
.0923070
.1527841
.2354879
.36
.37
.0185919
.0371563
.0687661
.1181030
.1886681
.2810922
.37
.38
.0260765-
.0501861
.0895229
.1483556
.2289872
.3301849
.38
.39
.0358433
.0664836
.1144082
.1831206
.2733981
.3820160
.39
.4o
.0483228
.0864520
.1436459
.2222875-
.3213758
.4357086
.40
.41
.0639460
.1104322
.1773269
.2655681
.3722324
.4903036
.41
.42
.0831190
.1386711
.2153859
.3124970
.4251460
.5448097
.42
.43
.1061949
.1712935,
.2575871
.3624439
.4792006
.5982549
.43
,44
.1334439
.2082779
.3035212
.4146383
.533^327
.6^97348
.44
.45
.1650244
.2494391
.3526125,
.4682050,
.5868800
.6984547
.45
.46
.2009575,
.2944214
.4041398
.5222064
.6386303
.7437623
.46
.47
.2411074
.3427020
.4572662
.5756897
.6878646
.7851684
.47
.48
.2851708
.3936066
.5110788
.6277352
.7338925-
.8223569
.48
.49
.3326764
.4463356
.5646339
.6775002
.7761776
.8551814
.49
.50
.3829959
.5000000
.6170041
.7242578
.8143510
.8836534
.50
356
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
V s
p
n=45 r=l8
n =45 r=17
n-45 r=l6
n=45 r=15
n=45 r=l4
n-45 r=l3
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.'0000000
.0000000
.0000000
.0000000
.0000002
.05
.06
,0000000
.0000000
.0000000
.0000000
.0000002
.0000015,
.06
.07
.0000000
.0000000
.0000000
.0000002
.0000014
.0000083
• 07
.08
.0000000
.0000000
.0000002
.0000012
.0000067
.0000346
.08
.09
.0000000
.0000002
.0000009
.0000051
.0000256
.0001164
.09
.10
.0000001
.0000007
.0000037
.0000184
.0000820
.0,003327
.10
.11
.0000005-
.0000026
.0000128
.0000564
.0602274
.0008327
.11
.12
.0000018
.0000086
.0000380
.0001527
.0005600
.0018667
.12
.13
.0000057
.0000250-
.0001008
.0003715-
.0012478
.0038137
.13
.14
.0000161
.0000654
.0002429
.0008244
.0025527
.0071976
.14
.13
.0000417
.0001565-
.0005378
.0016901
.0648498
.0126833
.15
.16
.0000992
.0003461
.0011059
.0032332
.0086372
.0210496
.16
.17
.0002196
.0007143
.0021305-
.0058179
.0145293
.0331371
.17
.18
.0004551
.0013863
.0038729
.0099146
.0232322
.0497749
.18
.19
.0008898
.0025455,
.0066834
.0160916
.0354990
.0716964
.19
.20
.0016504
.0044470
.0110045,
.0249940
.0520705-
.0994542
.20
• 2i
.0029180
.0074250,
.0173642
.0373055,
.0736043
.1333460
.21
.22
.0049390
.0118962
.0263559
.0536979
.1006043
.1733625,
.22
.23
.0080315-
.0183524
.0386072
.0747725-
.1333572
.2191646
.23
.24
.0125878
.0273440
.0547362
.1009987
.1718847
.2700913
.24
.25
.0190681
.0394525,
.0753009
.1326584
.2159193
.3251992
.25
.26
.0279863
.0552533
.1007^65,
.1698029
.2649054
.3833263
.26
.27
.0398858
.0752714
.1317551
.2122264
.3180257
.4431727
• 27
.28
.0553075,
.0999347
.1672051
.2594617
.3742511
.5033891
.28
.29
.0747512
.1295287
.2081^52
.3107984
.4324065,
.5626635-
• 29
.30
.0986329
.1641582
.2537847
.3653200
.4912469
.6197973
.30
.31
.1272438
.2037199
.3035047
.4219588
.5495343
.6737661
.31
.32
.1607137
.2^78906
.356^861
.4795609
.6061096
.7237604
.32
.33
.1989834
.2961314
.4117548
.5369551
.6599525-
.7692058
.33
.34
.2417898
.3477089
.4682375,
.5930201
.7102258
.8097644
.34
.35
.2886652
.4017315,
.5248234
.6467430
.7563021
.8453189
.35
.36
.3389526
.4571980
.5804270
.6972662
•7977732
.8759452
.36
.37
.3918346
.5130526
.6340447
.7439186
.8344424
.9018765,
.37
.38
.4463748
.5682432
.6848033
.7862311
.8663056
.9234641
.38
.3-9
.5015679
.6217767
.7319946
.8239371
.8935214
.9411376
.39
.40
.5563931
.6727675-
.7750967
.8569600
.9163770
.9553694
.4o
.41
.6098679
.7204754
.8137801
.8853895,
.9352514
.9666430
.41
.42
.6610967
.7643311
.8479018
.9094522
.9505804
.9754287
.42
.43
.7093108
.8039480
.8774874
.9294779
.9628252
.9821647
.43
.44
.7538977
.8391219
.9027060
.9458662
.9724458
.9872458
.44
.45
.7944182
.8698181
.9238402
.9590546
.9798803
.9910163
.45
.46
.8306104
.8961511
.9412533
.9694912
.9855310
.9937688
.46
.47
.8623828
.9183573
.9553588
.9776122
.9897546
.9957450,
.47
.48
.8897974
.93676^8
.9665919
.9838253
.9928589
.9971405,
.48
.49
.9130460
.9517629
.9753854
.9884983
.9951022
.9981093
.49
.50
.9324218
.9637729
.9821511
.9919528
•9966956
.9987706
.50
357
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n- s
p
n-^5 r-12
n=45 r=ll
n*45 r=10
n-45 r* 9
n*45 r = 8
n=45 r= 7
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000003
.01
.02
.0000000
.0000000
.0000000
.0000002
.0000029
.0000298
.02
.03
.0000000
.0000001
.0000007
.0000065,
.0000524
.0003643
.03
.04
.0000001
.0000012
.0000092
.0000627
.00037^6
.0019507
.04
.05
.0000015-
.0000102
.0000619
.0003350-
.0015971
.0066454
.05
.06
.0000097
.0000546
.0002758
.0012385-
.0049070
.0170068
.06
.07
.0000446
.0002149
.0009256
.0035485-
. 01202^8
.0357330
.07
.08
.0001607
.0006727
.0025232
.0084345,
.0249703
.06500^2
.08
.09
.0004779
.0017678
.0058669
.0173798
.0456955-
.1059696
• 09
.10
.0012215-
.0040446
.0.120302
.0319940
.0756986
.1585074
.10
.11
.0027619
.OO82708
.0222794
.0537633
.1157254
.2212685-
.11
.12
.0056414
.0154115-
.0379291
.0837983
.1656190
.2919387
.12
.13
.0105784
.0265564
.0601629
.1226366
.2243348
.3676183
.13
.14
.0184378
.0428073
.0898554
.1701360
.2900918
.4452227
.14
.15
.0301700
.0651435-
.1274296
.2254725,
.3606128
.5218328
.15
.16
.0467208
.0942879
.1727737
.2872^22
.4333987
.5949512
.16
.17
.0689264
.1305980
.2252301
.3535711
.5059887
.6626533
.17
.18
.0974088
.1739967
.2836511
.4224113
.5761726
.7236396
.18
.19
.1324872
.2239558
•3^65099
.4916397
.6421371
.7772096
.19
.20
.1741195-
.2795293
.4120445-
.5592836
.7025433
.8231830
.20
.21
.2218809
.3394315,
.,4784131
.6236452
.7565410
.8617918
.21
.22
.2749835-
.4021455,
.5438404
.6833883
.8037356
.8935642
.22
.23
.3323509
.4660466
.6067388
•7375757
.8441209
.9192146
.23
.24
.3926016
.5295249
.6657962
.7856644
.8779954
.9395494
.24
.25
.4543482
.5910942
.7200262
.8274694
.9058740
.9553926
.25
.26
.5161013
.6494770
.7687823
.8631049
.928^052
.9675325-
.26
.27
.5764661
.7036612
.8117433
.8929161
.9463000
.9766862
.27
.28
.6342042
.7529272
.8488747
.9174087
.9602755,
.9834816
.28
.29
.6882927
• 7968486
.8803778
.9371841
.9710137
.9884504
.29
.30
.7379598
.8352700
.9066309
.9528833
.9791347
.9920301
.30
.31
.7826966
.8682701
.9281321
.9651436
.9851820
.9945719
.31
.32
.8222483
.8961143
.9454462
.9745657
.9896174
.9963510
.32
.33
.8565884
.9192048
.9591601
.9816937
.9928222
.9975788
.33
.34
.8858822
.9380321
.9698479
.9870035-
.9951040
.9984144
.34
.35
.910^437
.9531306
.9780457
.9908988
.9967050,
.9989751
.35
• 36
.9306920
.9650429
.9842357
.9937137
.9978123
.9993463
.36
.37
.9471088
.9742913
.9888376
.9957176
.9985671
.9995885,
.37
.38
.9602023
.9813580
.9922063
.9971230
.9990742
•9997445-
.38
.39
.9704768
.9866732
.9946349
.9980940
.9994101
.9998434
.39
.40
.9784103
.9906085-
.9963590
.9987551
.9996293
.9999054
.40
.41
.9844386
.9934768
•9975645-
.9991984
.9997704
.9999436
.41
.42
.9889464
.9955349
.9983944
.9994913
.9998598
.9999669
.42
.43
.9922638
.9969887
.9989571
.9996819
.9999156
.9999808
.43
.44
.9946662
.9979994
.9993327
.9998040
.9999500-
.9999891
.44
.45
.9963781
.9986910
.999579,5-
.9998811
.9999708
.9999939
.45
.46
.9975783
•9991567
.9997391
.9999290
.9999832
.9999966
.46
.47
.9984062
.9994653
.9998407
.9999582
.9999905-
.9999981
.47
.48
•9989677
.9996664
.9999043
.9999758
.9999947
.9999990
.48
.49
•9993423
.9997953
.9999434
.9999863
.9999971
.9999995-
.49
.50
.9995880
.9998765-
.9999671
.9999923
.9999984
.9999997
.50
358
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
s-r
s q n-s
p
n=45 r- 6
n=45 r= 5
n=4 5 r= 4
n-45 r= 3
n=4-5 r= 2
n=45 r= 1
p
.01
.0000058
.OOOO876
.0010743
.0103781
.0746393
.3638145,
.01
.02
.0002669
.0020094
.0124220
.0610144
.2271323
.5971221
.02
.03
.0021745-
.0109538
.0455714
.1521719
.3926426
.7460618
.03
.04
.0087401
.0331820
.1047193
.2682330
.5420234
.8407038
.04
.05
.0238615-
.0729274
.1866167
.3923401
.6650433
.9005597
.05
.06
.0510310
.1309879
.2837511
.5H6835-
.7668189
.9382334
.06
.07
.0922681
.2049343
.3874771
.6184496
.8325405-
.9618291
• 07
.08
.1476384
.2901822
.4900913
.7090394
.8847070
.9765333
.08
.09
.2153561
.3812589
.5858275-
.7828194
.9217827
.9856496
.09
.10
.2922754
.4728621
.6710671
.8409571
.9476322
.9912720
.10
.11
.3745397
.5605553
.7440961
.8855258
.9653604
.9947210
.11
.12
.4582057
.6410993
.8046628
.9188976
.9773433
.9968252
.12
.13
.5397279
.7124995,
.8535045,
.9433758
.9853372
.9981017
.13
.14
.6162644
.7738672
.8919320
.9610039
.9906061
.9988717
.14
.13
.6858086
.8251881
.9215073
.9734891
.9940400
.9993334
.15
.16
.7471833
.8670661
.9438203
.9821975-
.9962542
.9996086
.16
.17
•7999416
.9004850,
.9603495-
.9881856
.9976674
.9997717
.17
.18
.8442180
.9266132
.9723884
.9922485-
.9985606
.9998677
.18
.19
.8805646
.9466574
.9810189
.9949702
..9991197
.9999238
.19
.20
.9097961
.9617640
.98711^2
.9967714
.9994664
.9999564
.20
.21
.9328586
.9729605,
.9913581
.9979495-
.9996795-
.9999753
.21
.22
.9507278
.9811285-
.9942729
.9987113
.9998091
.9999861
.22
.23
.9643377
.9869974
.9962487
.9991984
.9998874
.9999922
.23
.24
.9745352
.9911534
.9975710
.9995065,
.9999341
.9999957
.24
.25
.9820565,
.9940553
.9984451
.9996993
.9999618
.9999976
.25
.26
.9875206
.9960539
.9990158
.9998186
.9999781
.9999987
.26
.27
.9914320
.9974122
.9993840
.9998917
.9999875,
.9999993
.27
.28
.9941921
.9983233
.9996188
.9999360
.9999930
.9999996
.28
.29
.9961127
.9989266
.9997667
.9999626
.9999961
.9999998
.29
.30
.9974308
.9993210
.9998588
.9999784
.9999973
.9999999
.30
.31
.9983232
.9995756
.9999156
.9999876^
.9999988
.9999999
.31
.32
.9989193
.9997379
.99995°1
.9999930
.9999994
1.0000000
.32
.33
.9993122
.9998401
.9999708
.9999961
.9999997
1.0000000
.33
.34
.9995678
.9999036
.9999831
.9999978
.9999998
1.0000000
.34
.35
.9997318
.9999426
•9999904
.9999988
.9999999
1.0000000
.35
.36
.9998357
.9999663
.9999946
.9999994
1.0000000
1.0000000
.36
.37
.9999007
.9999804
.9999970
.9999997
1.0000000
1.0000000
.37
.38
.9999407
.9999888
.9999983
.9999998
1.0000000
1.0000000
.38
.39
.9999651
.9999936
.9999991
•9999999
1.0000000
1.0000000
.39
.40
.9999797
.9999965-
•9999995,
1.0000000
1.0000000
1.0000000
.40
.41
.9999884
.9999980
.9999997
1.0000000
1.0000000
1.0000000
.41
.42
.9999934
.9999989
.9999999
1.0000000
1.0000000
1.0000000
.42
.43
.9999963
.9999994
.9999999
1.0000000
1.0000000
1.0000000
.43
.44
.9999980
.9999997
1.0000000
1.0000000
1.0000000
1.0000000
.44
.45
.9999989
.9999998
1.0000000
1.0000000
1.0000000
1.0000000
.45
.46
.9999994
.9999999
1.0000000
1.0000000
1.0000000
1.000O000
• 46
.47
.9999997
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
.47
.48
.9999998
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
.48
.49
.9999999
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
.49
.50
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
1.0000000
.50
832939 0 - 50 - 24
359
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V 8
p
n=46 r-4o
n=46 r-39
n=46 r=38
n=46 r=37
n-46 r-36
n=46 r=35
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.OOOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.coooooo
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.oocoooo
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.34
.35
.0000000
.0000000
.0000000
1 .0000000
.0000000
.0000600
.35
.36
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.36
.37
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.37
.38
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.38
.39
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.39
.40
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.40
.41
.0000000
.0000000
.0060000
.0000001
.0000003
.0000014
.41
.42
.0000000
.0000000
.0000000
.0000001
.0000006
.0000028
.42
.43
.0000000
.0000000
.0000000
.0000002
.0000012
.0000053
.43
.44
.0000000
.0000000
.0000001
. 0000005 -
.0000023
.0000098
.44
.45
.0000000
.0000000
.0000002
.0000009
.0000043
.0000178
.45
.46
.0000000
.0000001
.0000003
. 0000018
.0000080
.0000319
.46
.47
.0000000
.0000001
.0000007
.0000034
. 0000145 ,
.0000558
.47
.48
.0000000
.0000002
.0000013
.0000062
.0000260
.0000959
.48
.49
.0000001
. 0000005 -
. 0000025 -
.0000114
. 0000455 -
.0001617
.49
.50
.0000002
.0000009
.0000046
.0000203
.0000782
.0002678
.50
360
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=46 r=34
n=46 r=33
n-46 r*32
n-46 r*31
n*46 r=30
n=46 i*=29
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.00000.00
.0Q00000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0Q00000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0Q00000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.OQOOOOO
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0O00000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.OQOOOOO
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.OQOOOOO
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
. GOOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.25
.26
.0000000
.0000000
.0000000
.0.000000
.0000000
.0000001
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.28
.29
.0000000
.0000000
.0000000
.0000001
.0000004
.0000017
.29
.30
.0000000
.0000000
.0000000
.0000002
.0000009
.0000037
.30
.31
.0000000
.0000000
.0000001
.0000004
.0000019
.0000075,
.31
.32
.0000000
.0000000
.0000002
.0000009
.0000039
.0000150-
.32
.33
.0000000
.0000001
.0000004
.0000019
.0000078
.0000288
.33
.34
.0000000
.0000002
.0000009
.0000039
.0000152
.0000540
.34
.35
.0000001
.0000004
.0000019
.0000078
.0000289
.0000982
.35
.36
.0000002
.0000009
.0000038
.0000150-
.0000534
.0001738
.36
.37
.0000004
.0000018
.0000075-
.0000280
.0000959
.0002999
.37
.38
.0000008
.0000036
.0000142
.0000512
.0001682
.0005050-
.38
.39
.0000016
.0000069
.0000263
.0000912
.0002878
.0008303
.39
.40
.0000032
.0000130
.0000477
.0001587
.0004811
.0013348
.40
.41
.0000062
.0000240
.0000844
.0002698
.0007867
.0020994
.41
.42
.0000115,
.0000431
.0001459
.0004487
.0012590
.0032335,
.42
.43
.0000211
.0000758
.0002469
.0007307
.0019734
.0048802
.43
.44
.0000377
.0001306
,0004093
.0011659
.0030318
.0072225-
.44
.45
.0000661
.0002204
.0006649
.0018239
.0045684
.0104880
.45
.46
.0001136
.0003647
.0010593
.0027989
.0067555,
.0149521
.46
.47
.0001916
.0005919 .
.0016560
.0042159
.0098088
.0209387
.47
.48
.0003169
.0009429
.0025416
.0062362
.0139912
.0288169
.48
.49
.0005145,
.0014750,
.0038314
.0090635,
.0196146
.0389940
.49
.50
.0008207
.0022669
.0056758
.0129480
.0270380
.0519027
.50
561
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-8
p
n-46 v-28
D
II
CT\
II
r\->
-4
n=46 r=26
n=46 r-25
n=46 r*24
n=46 r =23
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000002
.0000008
.18
.19
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000021
.19
.20
.0000000
.0000000
.0000001
.0000003
.0000012
.0000053
.20
.21
.0000000
.0000000
.0000001
.0000007
.0000051
.0000125-
.21
.22
.0000000
.0000001
.0000004
.0000018
.0000075
.0000277
.22
.23
.0000000
.0000002
.0000010
.0000041
.0000162
.0000583
.23
.24
.0000001
.0000005,
.0000023
.0000093
.0000544
.0001174
.24
.25
.0000003
.0000013
.0000052
.0000199
.0000699
.0002264
•25
.26
.0000007
.0000028
.0000112
.0000407
.0001561
.0004194
.26
.27
.0000015,
.0000062
.0000232
.0000801
.0002551
.0007487
.27
.28
.0000033
.0000129
.0000461
.0001519
.0004611
.0012907
.28
.29
.0000070
.0000259
.0000885-
.0002781
.0008057
.0021537
•29
.30
.0000142
.0000503
.0001640
.0004926
.0015659
.0034853
.30
.31
.0000278
.0000944
.0002945-
.0008459
•0022405,
.0054796
.31
.32
.0000529
.0001718
.0005130
.0014104
.0055776
.0083831
.32
.33
.0000977
.0003036
.0008682
.0022872
.0055612
.0124974
.33
.34
.0001751
.0005217
.0014298
.0036124
.0084270
.0181793
.34
.35
.0003054
.0008725.
.0022944
.0055638
.0124654
.0258340
.35
.36
.0005188
.0014226
.0035918
.0083662
.0180115,
.0359043
.36
.37
.0008595,
.0022636
.0054913
.0122954
.0254607
.0488520
.37
.38
.0013902
.0035188
.0082073
.0176783
.0552582
.0651341
.38
.39
.0021975,
.0053489
.0120032
.0248893
.0477930
.0851742
.39
.4o
.0033977
.0079580
.0171924
.0343421
.0655745,
.1093296
.40
.41
.0051429
.0115972
.0241357
.0464749
.0850053
.1378590
.41
.42
.0076266
.0165670
.0332344
.0617314
.1064509
.1708913
.42
.43
.0110882
.0232155 -
.0449176
.0805351
.1341873
.2083998
.43
.44
.0158155,
.0319326
.0596248
.1032608
.1663708
.2501849
.44
.45
.0221445-
.0431397
.0777819
.1302034
.2030110
.2958671
.45
.46
♦0304544
.0572729
.0997745-
.1615469
.2439509
.3448918
.46
.47
.0411592
.0747621
.1259170
.1973370 .
.2888569
.3965472
.47
.48
.0546932
.0960046
.1564224
.2374590
.3372200
.'4499933
.48
.49
.0714909
.1213357
.1913727
.2816245-
.3883694
.5043018
.49
.50
.0919624
.1509978
.2306956
.3293690
.4414980
.5585020
.50
362
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
8 q n ’ 8
p
n =46 r =22
n =46 r-21
n =46 r=20
n -46 r=19
n =46 r=l8
n -46 r -17
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000002
.0000010
.10
.11
.0000000
.0000000
.0000000
.0000001
.0000007
.0000037
.11
.12
,0000000
.0000000
.0000001
.0000005,
.0000026
.0000121
.12
.13
.0000000
.0000001
.0000003
.0060018
.0000082
.0000349
.13
.14
.0000000
.0000002
.0000012
.0000054
.0000230
.0000903
.14
.15
.0000001
.0000007
.0000035-
.0000149
.0000589
.0002137
.15
.16
. 0000005 -
.0000022
.0000095-
.0000378
.0001387
.0004677
.16
.17
.0000013
.0000059
.0000238
.0000887
.0003037
.0009551
.17
.18
.0000036
.0000147
.0000558
.0001944
.0006227
.0018338
.18
.19
,0000089
.0000345,
.0001225,
.0004004
.0012044
.0033317
.19
.20
.0000209
.0000760
.0002537
.0007803
.0022097
.0057585-
.20
.21
.0000463
.0001582
.0004982
.0014457
. 0038645 ,
.0095123
.21
.22
.0000970
.0003131
.0009322
.0025580
.0064696
.0150773
.22
•23
. 0001935 ,
.0005917
.0016686
.0043389
.0104053
.0230110
.23
.24
.0003694
.0010714
.0028670
.0070788
.0161293
.0339181
.24
.25
.0006764
. 0018645 ,
.0047434
.0111408
.0241642
.0484146
.25
.26
.0011923
.0031278
.0075774
.0169583
.0350757
.0670815,
.26
.27
.0020276
.0050705,
.0117155,
.0250238
.0494399
.0904140
.27
.28
.0033350,
.0079611
.0175691
.0358699
.0678031
.1187704
.28
.29
.0053164
.0121303
.0256045-
.0500405-
.0906367
. 1523275 -
.29
.30
.0082290
.0179694
.0363264
.0680544
.1182905-
.1910461
.30
.31
.0123889
.0259222
.0502519
.0903653
.1509514
.2346532
.31
.32
.0181692
.0364692
.0678785-
.1173189
.1886103
.2826412
.32
.33
.0259932
.0501058
.0896470
.1491141
.2310422
.3342871
.33
.34
.0363214
.0673124
.1159024
.1857703
.2778023
.3886886
.34
.35
.0496306
.0885211
.1468567
,2271069
.3282384
.4448137
.35
.36
.0663883
.1140788
.1825575-
.2727352
.3815210
.5015604
.36
.37
.0870208
.1442121
.2228650-
.3220669
.4366852
.5578197
.37
.38
.1118793
.1789956
.2674424
.3743371
. 4926848
.6125360
.38
.39
.1412060
.2183288
.3157591
.4286412
.5484493
.6647617
.39
.40
.1751025,
.2619228
.3671089
.4839824
.6029429
.7136992
.40
.41
.2135058
. 3093005 -
.4206416
. 5393250 -
.6552170
.7587303
.41
.42
.2561725,
.3598096
.4754048
.5936503
.7044551
.7994308
.42
.3026755,
.4126493
.5303940
.6460089
.7500048
.8355699
.43
.44
.3524127
.4669078
.5846056
. 6955665 -
.7913963
.8670989
.44
.45
.4046292
.5216088
.6370886
.7416383
.8283481
.8941280
.45
.46
.4584504
.5757614
.6869910
.7837124
.8607591
.9168981
• 46
.47
.5129252
.6284119
.7335974
.8214592
.8886908
.9357480
. 4 ?
.48
.5670739
.6786907
.7763554
.8547283
.9123418
.9510818
.48
.49
.6199384
.7258521
.8148895-
.8835351
.9320172
.9633379
.49
.50
.6706310
. 76930^4
.8490022
.9080376
.9480975
.9729620
.50
363
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V 8
p
n =46 r =16
n =46 r =15
n =46 r=l 4
n =46 r=13
n =46 r=12
n =46 r=ll
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000002
.0000015,
.04
♦ 03
.0000000
.0000000
.0000000
.0000003
.0000019
.0000127
• 05
.06
.0000000
.0000000
.0000003
. 000002Q
.0000124
.0000679
.06
♦ 07
.0000000
.0000003
.0000019
.0000109
.OOO 0566
.0002646
.07
.08
.0000003
.0000016
.0000089
.0000447
.0002017
.0008207
.08
.09
.0000013
.0000070
.0000338
.0001489
.0005939
.0021367
• 09
.10
.0000052
.0000247
.0001071
.0004216
.OOI5030
.0048432
.10
.11
.0000176
.0000752
.0002940
.0010449
.0033678
.0098118
.11
.12
.0000517
.0002016
.0007168
.0023196
.0068139
.OI8II36
.12
.13
.0001360
.0004854
.0015814
.0046931
. 0126555 ,
.0309252
.13
.14
.0003243
.0010563
.0032030
.0087712
. 0218495 ,
.0493941
.14
♦ 15
.0007106
.0021641
.0060249
.0153065
.0354160
.0744864
• 15
.16
. 0014462 *
.0040978
.0106232
.0251570
. 0543315 ,
.1068457
.16
.17
.0027573
.0072989
.0175927
.0392213
.0794106
.1465854
• 17
.18
.0049604
.0123117
.0280099
.0583490
.1111946
. 1937345 -
.18
.19
.0084710
.0197790
. 0423765 ,
.0832467
.1498663
.2472411
.19
.20
.0138624
.0304093
.0615472
.1143872
.1952014
.3060323
.20
.21
.0215518
.0449282
. 0861500 ,
.1519383
. 2465665 ,
.3686177
.21
.22
.0323712
.0640173
.1166111
.1957191
.3029591
.4333184
.22
.23
.0469253
.0882470
.1530929
.2451928
.3630855,
.4984058
.23
.24
.0658392
.1180113
.1954543
.2994938
.4254632
.5622300
.24
.25
.0896403
. 153^737
.2432393
• 3574865 -
.4885347
.6233272
• 25
.26
.1187012
.1945296
.2956948
.4178478
.5507790
.6804964
.26
.27
.1531903
.2407922
.3518154
.4791619
.6108088
.7328433
.27
.28
.1930370
.2916028
.4104097
.5400173
.6674467
. 7797925 ,
.28
.29
.2379146
.3460648
.4701810
.5990959
.7197739
.8210721
.29
.30
.2872453
.4030981
.5298120
.6552460
.7671529
.8566783
.30
.31
. 3402255 -
.4615072
.5880462
.7075346
.8092244
.8868273
.31
.32
.3958700
. 5200565 -
.6437579
. 7552765 ,
.8458854
. 9119005 -
.32
.33
.4530709
.5775443
.6960061
.7980421
.8772518
.9323901
.33
.34
.5106636
.6328700
.7440689
.8356444
.9036131
.9488494
.34
.35
.5674953
.6850887
.7874580
.8681126
.9253841
.9618509
.35
.36
.6224891
.7334487
.8259151
.8956540
.9430583
.9719523
.36
.37
.6746980
.7774124
.8593930
. 9186125 -
.9571663
.9796734
.37
.38
.7233458
. 8 l 66 59 4
.8880258
.9374246
. 9682415 -
.9854804
.38
.39
.7678522
. 8510750 ,
.9120917
.9525799
.9767934
.9897782
.39
. 4 o
.8078420
.8807268
.9319739
.9645857
.9832898
.9929087
.4o
.41
.8431400
.9058329
.9481219
.9739392
.9881443
.9951527
.41
.42
.8737529
.9267261
.9610167
.9811061
.9917136
.9967359
.42
.43
.8998433
.9438173
.9711412
.9865073
• 9942955 -
.9978351
.43
,44
. 9216965 ,
.9575612
.9789578
.9905108
.9961328
.9985860
.44
.45
.9396867
.9684262
. 9848915 ,
.9934291
.9974189
.9990908
.45
.46
.9542427
. 9768695 -
.9893203
.9955212
.9983044
.9994246
.46
.47
.9658179
.9833191
.9925701
.9969958
.9989040
.9996417
.47
.48
.9748639
.9881614
. 99 49141
.9980176
.9993031
.9997806
.48
.49
.9818107
.9917542
.9965757
. 9987135 ,
.9995643
.9998679
.49
.50
.9870520
.9943242
.9977331
.9991793
.9997322
.9999218
.50
1 J
364
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-s
q
p
n-46 r=10
n=4q r= 9
n»46 r= 8
n=46 r= 7
n-46 r= 6
n=46 r= 5
p
.01
.0000000
.0000000
.0000000
.0000004
.0000066
.0000974
.01
.02
.0000000
.0000003
.0000034
.0000345,
*0003017
.0022177
.02
.03
.0000009
.0000079
.0000617
.0004186
.0024378
.0119923
.03
.04
.0000114
.0000751
.0004376
.0022223
.0097178
.0360435,
.04
.03
.0000756
.0003981
.0018495-
.0075062
.0263148
.0786119
.05
.06
.0003336
.0014586
.0056330
.0190483
.0558284
.1401537
.06
.07
.0011092
.0041418
.0136844
.0396905-
.1001547
.2177123
.07
.08
.0029961
.0097574
.0281730
.0716150-
.1590419
.3061750-
.08
.09
.0069031
.0199282
.0511201
.1158144
.2302874
.3996701
.09
.10
.0140266
.0363645-
.0839795,
.1718842
.3103340
.4926826
.10
.11
.0257426
.0605791
.1273351
.2381283
.3950014
.5807448
.11
.12
.0434334
.0936168
.1807774
.3118907
.4801529
.6607270
.12
.13
.0682845-
.1358573
.2429617
.3899925,
.5621882
.7308302
.13
.14
.1010947
.1869298
.3118102
.4691686
.6383288
.7903963
.14
• 15
.1421360
.2457436
.3847958
.5464292
.7067156
.8396360
.15
.16
.1910871
.3106188
.4592471
.6193083
.7663646
.8793468
.16
.17
.2470481
.3794821
.5326217
.6859923
.8170339
.9106620
•.17
• 18
.3086279
.4500883
.6027167
.7453437
.8590491
.9348528
.18
.19
.3740846
.5202343
.6678009
.7968470
.8931223
.9531861
.19
.20
. 4 :'l 4923
.5879355,
.7266712
*8405056
.9201897
.9668340
.20
.21
.5089119
.6515533
.7786437
.8767158
.9412800
.9768240
.21
.22
.5745409
.7098647
.8234979
.9061402
.9574160
.9840203
.22
.23
.6368313
.7620811
.8613924
.9295929
.9695495-
.9891252
.23
.24
.6945646
.8078239
.8927683
.9479460
.9785235,
.9926937
.24
.25
.7458870
.8470706
. 9182536
.9620586
*98^0562
.9951527
.25
. 26
.7933062
.8800830
.9385783
.9727294
.9897392
.9968240
.26
.27
.8336599
.9073297
.9545043
.9806675,
.9930466
.9979446
•27
.28
.8580643
.9294114
.9667732
.9864805,
.9953488
.9986860
.28
.29
.8968516
.9469947
.9760703
.9906724
.9969287
.9991702
.29
.30
.9205066
.9607587
.9830033
.9936503
.9979978
.9994823
.30
• 31
.9396057
.9713555-
.9880929
.9957348
.9987114
.9996810
.31
. 32
.9547644
.9793822
.9917721
.9971728
.9991812
.9998058
.32
.33
.9665962
.9853661
.9943919
.9981508
.9994864
.9998832
.33
.34
.9756808
.9897576
.9962295,
.9988065,
.9996820
.9999307
.34
• 35
.9825443
.9929310
.9974996
.9992400 .
.9998056
.9999593
.35
.36
.9876478
.9951892
.9983645,
.9995225-
.9998827
.9999765-
.36
.37
.9913832
.9967719
.9989450,
.9997040
.9999302
.9999865,
.37
.38
.9940747
.9978644
.9993289
.9998190
.9999590
.9999924
.38
.3-9
.9959840
.9986073
.9995791
.9998909
.9999762
.9999958
.39
.40
.9973174
.9991048
.9997398
.9999351
.9999864
.9999977
.40
.4l
.9982344
.9994329
.9998414
•9999620
.9999923
.9999987
.41
.42
.9988551
.9996461
.9999048
.9999780
.9999958
.9999993
.42
.43
.9992688
.9997824
.9999437
.9999875,
.9999977
.9999996
.43
.44
.9995401
.9998682
.9999672
.9999930
.9999987
.9999998
.44
.45
.9997152
.99^9215-
.9999812
.9999961
.9999993
.9999999
.45
.46
.9998264
.9999539
.9999894
.9999979
.9999997
1.0000000
.46
.47
.9998959
.9999734
.9999941
•9999989
.9999998
1.0000000
.47
.48
.9999386
.9999849
.9999968
.9999994
.9999999
1.0000000
.48
.49
.9999644
.9999916
.9999983
.9999997
1.0000000
1.0000000
.49
• 50
.9999797
.9999954
.9999991
.9999998
1.0000000
1.0000000
• 50
365
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n=46 r- 4
n=46 r- 3
n=46 r- 2
n=46 r- 1
1 —1
II
f-
-=r
" «
a 11
n=47 r=40
p
.01
.0011674
.0110207
.0775310
.3701764
.0000000
.0000000
.01
.02
.0133939
.0643367
.2345321
.6051797
.0000000
.0000000
.02
.03
.0487695-
.1593860
.4032452
.7536799
.0000000
.0000000
.03
.04
.1112598
.2791846
.5539706
.8470756
.0000000
.0000000
.04
.03
.1969029
.4059753
.6768192
.9055318
.0000000
.0000000
.05
.06
. 2974271
.5266316
.7714637
.9419394
.0000000
.0000000
.06
.07
.4036452
.6334360
.8415907
.'9645010
.0000000
.0000000
.07
.08
.5076072
.7230928
.8920531
.'9784106
.0000000
.0000000
.08
.09
.6035567
.7953261
.9275307
.9869412
.Oooocoo
.0000000
.09
.10
.6880561
.8516246
.'9519962
.9921448
.0000000
.0000000
.10
.11
•7596534
.8943076
.‘9685900
.9953017
.0000000
.0000000
.11
.12
.8183710
.9259111
.9796811
.9972062
.0000000
.0000000
.12
.13
.8651878
.9488308
.9869966
.9983485-
.0000000
.0000000
.13
.14
.'9016020
.9651482
.9917633
.9990296
.0000000
.0000000
.14
.15
.9293046
.9765717
.9948340
.■999433^
.0000000
.0000000
.13
.16
.9499607
.9844’165,
.9967909
.9996713
.0000000
.0000000
.16
.17
.9650816
.9897975,
.9980252
.9998105,
.0000000
.0000000
.17
.18
.9759632
.9933847
.9987959
.9998915-
.0000000
.0000000
.'18
.19
.9836697
.9957586
.9992725,
.9999383
.0000000
.0000000
.19
.20
.9890456
.9973104
.'9995644
.9999652
.0000000
.0000000
.20
.21
.9927423
.9983128
.9997416
.9999805-
.0000000
.0000000
.21
.22
.9952493
.9989528
.9998481
.9999891
.0000000
.0000000
.22
.23
.9969271
.9993569
.9999115-
.9999940
.0000000
.0000000
.23
.24
.9980356
.9996091
.9999489
.9999967
.0000000
.0000000
.24
.25
.9987586
.9997649
.9999708
.9999982
.0000000
.0000000
.25
.26
.9992245,
.9998601
.9999834
.9999990
.0000000
.0000000
• 26
.27
.9995211
.9999176
.9999907
.9999995-
.0000000
.0000000
.27
.28
.9997076
.9999520
.9999948
.9999997
.0000000
.0000000
.28
.29
.9998235,
.9999723
.9999972
.9999999
.0000000
.0000000
.29
.30
.9998947
.9999842
.9999984
.9999999
.0000000
.0000000
.30
.31
.9999579
.9999911
.9999992
1.0000000
.0000000
.0000000
.31
.32
.9999638
.9999950,
.9999996
1*0000000
.0000000
.0000000
.32
.33
•9999791
.9999973
.9999998
1.0000000
.0000000
.0000000
.33
.34
.9999881
.9999985,
.9999999
1.0000000
.0000000
.0000000
.34
.35
.9999933
.9999992
.9999999
1.0000000
.0000000
.0000000
.35
• 36
.9999963
.9999996
1.0000000
1.0000000
.0000000
.0000000
.36
.37
.9999980
.9999998
1.0000000
1.0000000
.0000000
.0000000
.37
.38
.9999989
.9999999
1.0000000
1.0000000
.0000000
.0000000
.38
.39
.9999994
.9999999
1.0000000
1.0000000
.0000000
.0000000
.39
.40
.9999997
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.40
.41
.9999998
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.41
.42
.9999999
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.42
.43
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.43
.44
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.44
.45
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.45
.46
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.46
.47
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.47
.48
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.48
.49
1.0000000
1.0000000
1.0000000
1.0000000
.0000000
.0000003
.49
.50
1.0000000
1.0000000
1.0000000
1.0000000
.0000001
.0000005,
.50
366
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V " 8
p
n-47 r=59
n=47 r^8
n=^7 r=57
n=47 r=56
n=47 r=55
n=47 r=54
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
*0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.OOOOOO0
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
,0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 17
.18
.0000000
.0000000
.0000000
..ooooooo
.0000000
.0000000
.'18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000600
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.25
.26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.27
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
r Q
• C.O
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
.30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
.31
.0000000
. 0000 O 00
.0000000
.0000000
.0000000
.0000000
.31
.32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.32
.33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.34
.35
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.35
• 36
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.36
.37
.0000000
.0000000
.0000000
.0000000
.0000002
.0000009
.37
.38
.0000000
.0000000
.0000000
.0000001
.0000004
.0000019
.38
.39
.0000000
.0000000
.0000000
.0000002
.0000009
.0000057
.39
.4o
.0000000
.0000000
.0000001
.0000004
.0000017
.0000071
.40
.41
.0000000
.0000000
.0000002
.0000008
.0000054
.0000155-
.41
.42
.0000000
.0000001
.0000005
.0000015,
.0000064
.0000248
.42
.43
.0000000
.0000001
.0000006
.0000029
.0000120
.0000446
.43
.44
.0000000
.0000005
.0000015
.0000056
.0000221
.0000785
.44
.45
.0000001
.0000005,
.0000024
.0000104
.0000596
.0001555,
.45
.46
.0000002
.0000010
.0000046
.0000190
.0000695-
.0002291
.46
.47
.0000004
.0000019
.0000086
.0000559
.0001196
.0005797
.47
.48
.0000008
.0000057
.0000157
.0000595,
.0002020
.0006174
.48
.49
.0000015-
.0000068
.0000281
.0001024
.0005546
.0009852
.49
.50
.0000028
.0000125-
.0000492
.0001750
.0005445
.0015458
.50
567
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n-47 r=33
n=47 r=32
n=47 r=31
n=47 r-30
n-47 r=29
n=47 r=28
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
. OOOOOQO
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.'18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005,
.25
.26
.0000000
.0000000
.0000000
.0000001
.0000003
.0000012
.26
.27
.0000000
.0000000
.0000000
.0000001
.0000007
.0000028
.27
.28
.0000000
.0000000
.0000001
.0000003
.0000015-
.0000060
.28
.29
.0000000
.0000000
.0000002
.0000008
.0000032
.0000125-
.29
.30
.0000000
.0000001
.0000004
.0000017
.0000068
.0000250-
.30
.31
.0000000
.0000002
.0000009
.0000036
.0000138
.0000485-
.31
.32
.0000001
.0000004
.0000019
.0000074
.0000271
.0000910
.32
• 33
.0000002
.0000009
.0000039
.0000147
.0000516
.0001656
.33
.34
.0000004
.0000019
.0000078
.0000284
.0000952
.0002929
.34
.35
.0000009
.0000040
.0000152
.0000532
.0001707
.0005039
.35
• 36
.0000019
.0000078
.0000288
.0000967
.0002980
.0008442
.36
.37
.0000039
.0000151
.0000532
.0001714
.0005070
.0013790
.37
.38
.0000076
.0000283
.0000957
.0002962
.0008414
.0021991
.38
.39
.0000145-
.0000516
.0001679
.0004994
.0013635,
.0034266
.39
.40
.0000269
.0000921
.0002877
.0008226
.0021600
.0052218
.40
.41
.0000487
.0001604
.0004817
.0013249
.0033473
.0077892
.41
.42
.0000863
.0002731
.0007890
.0020883
.0050786
.0113816
.42
.43
.0001494
.0004549
.0012651
.0032233
.0075496
.0163029
.43
.44
.0002532
.0007422
.0019869
.0048757
.0110034
.0229071
.44
.45
.0004204
.0011864
.0030589
.0072322
.0157334
.0315923
.45
.46
.0006842
.0018595,
.0046189
.0105260
.0220831
.0427909
.46
.47
.0010920
.0028591
. 0068446
.0150398
.0304423
.0569526
.47
.48
.0017103
.0043150
.0099586
.0211076
.0412376
.0745227
.48
.49
.0026296
.0063952
.0142336
.0291105,
.0549175,
.0959148
.49
.50
.0039714
.0093119
.0199930
.0394703
.0719325,
.1214801
.50
I-.-, —
368
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V " 8
p
n=47 r=27
n=47 r=26
n=47 r=25
n=47 r=24
n=47 r=23
n=47 r=22
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0600000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0600000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.15
.16
.0000000
.0000000
.0000000
.0000006
.0000002
.0000007
.16
.17
.0000000
.0000000
.0000000
.0000001
.0000005-
.0000021
.17
.18
.0000000
.0000000
.0000001
.0000003
.0000013
.0000056
.'18
.19
.0000000
.0000000
.0000002
.0000008
.0000034
.0000138
.19
.20
.0000000
.0000001
.0000005-
.0000021
.0000084
.0000320
.20
.21
.0000001
.0000003
.0000012
.0000051
.0000196
.0000698
.21
.22
.0000001
.0000007
.0000030
.0000118
.0000429
.0001445,
.22
.23
.0000004
.0000017
.0000069
.0000259
.0000894
.0002851
.23
.24
.0000010
.00Q0040
.0000153
..0000543
.0001779
.0005378
.24
.25
.0000022
.0000089
.0000324
.0001090
.0003389
.0009735-
.25
.26
.0000050,
.0000189
.0000655,
.0002098
.0006204
.0016955,
.26
.27
.0000108
.0000386
.0001274
.0003884
.0010940
.0028492
.27
.28
.0000222
.0000757
J0002385-
.0006934
.0018631
.0046303
.2$
.29
.00004^10
.0001435-
.0004311
.0011967
.0030709
.0072924
.29
.30
.000084^1
.0002626
.0007540
.0020003
.0049084
.0111512
.30
.31
.0001564
.0004654
.0012782
.0032446
.0076215,
.0165842
.31
.32
.0002810
.0008001
.0021039
.0051153
.0115146
.0240252
.32
.33
.0004899
.0013365-
.0033676
.0078502
.0169510
.0339504
.33
.34
.0008504
.0021719
.0052494
.0117428
.0243476
.0468583
.34
.35
.0013702
.0034387
.0079786
.0171431
.0341628
.0632423
.35
.36
.0022035,
.0053106
.0118385,
.0244529
.0468785,
.0835569
.36
.37
.0034579
.0080088
.0171666
.0341155-
.0629744
.1081816
.37
.38
.0053004
.0118063
..0243511
.0465986
.0828973
.1373835,
.38
.39
.0079441
.0170288
.0338218
.0623716
.1070266
.1712839
.39
.40
.0116517
.0240523
.0460351
.0818765,
.1356388
.2098306
.40
.41
.0167380
.0332948
.0614524
•1054953
.1688742
.2527816
.41
.42
.0235673
.0452031
.0805136
.1335158
.2067094
.2997001
.42
.43
.0325474
.0602332
.1036056
.1660987
.2489383
.3499642
.43
.44
.0441172
.0788246
.1310292
.2032490
.2951652
.4027906
.44
.45
.0587287
.1013716
.1629668
.2447963
.3448100
.4572700
.45
.46
.0768236
.1281898
.1994527
.2903837
.3971288
.5124135-
.46
.47
.0988049
.1594844
.2403514
.3394713
.4512449
.5672040
.47
.48
.1250051
.1953200
.28534^3
.3913512
.5061919
.6206499
.48
.49
.1556538
.2355961
.3339295,
.4451763
.5609637
.6718361
.49
.50
.1908467
.2800323
.3854335-
.5000000
.6145665,
.7199677
.50
369
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
,nv s n-s
<1
p
n=47 r=21
n=47 r=20
n=47 r=19
CO
r-l
II
u
■=t
II
a
n=47 r=17
n=47 r=l6
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.000000.0
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.08
.09
.0000000
.0000000
.0000000
.0000001
.0000003
.0000018
.09
.10
.0000000
.0000000
.0000000
.0000003
.0000014
.0000072
.10
.11
.0000000
.0000000
.0000002
.0000011
.0000053
.0000239
.11
.12
.0000000
.0000001
.0000008
.0000038
.0000169
.0000697
.12
.13
.0000001
.0000005,
.0000026
.0000117
.0000480
.0001814
.13
.14
.0000004
.0000018
.0000079
.0000324
.0001230
.0004282
.14
.15
.0000012
.0000052
.0000215,
.0000821
.0002882
.0009286
.15
.16
.0000033
.0000140
.0000540
.0001914
.0006242
.0018705-
.16
.17
.0000089
.0000349
•.0001253
.0004144
.0012615-
.0035294
.17
.18
.0000221
.0000807
.0002715-
.0008407
.0023966
.0062836
.18
.19
.0000512
.0001753
.0005532
.0016086
.0043082
.0106195-
.19
.20
.0001115,
.0003590
.0010662
.0029194
.0073673
.0171238
.20
.21
.0002296
.0006972
.0019537
.0050505,
.0120406
.0264609
.21
.22
.0004493
.0012899
.0034186
.0083633
.0188820
.0393333
.22
.23
.0008394
.0022827
.00573**2
.0133046
.0285113
.0564293
.23
.24
.0015023
.0038778
.0092509
.0203986
.0415792
.0783605,
.24
.25
.0025843
.0063428
.0143967
.0302268
.0587210
.1055987
.25
.26
.0042847
.0100164
.0216688
.0433972
.0805026
.1384166
.26
.27
.0068647
.0153088
.0316161
.0605029
.1073636
.1768428
.27
.28
.0106513
.0226933
.0448112
.0820740
.1395650,
.2206354
.28
.29
.0160378
.0326909
.0618134
.1085270
.1771478
.2692782
.29
.30
.0234765,
.0458448
.0831252
.1401172
.2199059
.3220011
.30
.31
.033464*1
.0626870
.1091470
.1768990
.2673806
.3778228
.31
.32
.0465202
.0836994
.1401322
.2187002
.3188744
.4356097
.32
.33
.0631544
.1092711
.1761504
.2651131
.3734858
.4941471
.33
.34
.O83833O
.1396575-
.2170612
.3155036
.4301601
.5522138
.34
.35
.1089386
.1749443
.2625029
.3690398
.4877523
.6086530
.35
.36
.1387311
.2150215
.3118981
.4247352
.5450948
.6624346
.36
.37
.1733137
.2595697
.3644757
.4815050-
.6010647
.7127023
.37
.38
.2126054
.3080623
.4193092
.5382283
.6546438
.7588050-
.38
.39
.2563266
.3597831
.4753664
.5938111
.7049670
.8003091
.39
.40
.3039973
.•4138583
• 5315666
.6472454
.7513563
.8369959
.40
.4l
.3549503
.4693018
.5868407
.6976575-
.7933383
.8688441
.41
.42
.4083596
.5250679
.6401883
.7443449
.8306461
.8960017
.42
.43
.4632795,
.5801084
.6907272
.7867978
.8632075-
.9187521
.43
.44
.5186949
.6334284
.7377316
.8247055-
.8911219
.9374770
.44
.45
.5735747
.6841360
.7806577
.8579491
.9146294
.9526195-
.45
.46
.6269270
.7314828
.8191539
.8865830
.9340766
.9646510
.46
.47
.6778491
.7748924
.8530580
.9108077
.9498809
.9740435-
.47
.48
.7255697
.813974*]
.8823828
.9309370
.9624972
.9»12*]67
.48
.49
.7694804
.8485258
.9072913
.9473644
.9723896
.9866732
.49
.50
.8091533
.8785199
.9280675-
.9605297
.9800070
.9906881
.50
370
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
[| n=47 r=15
n=47 r=l4
n=47 r=13
n=47 r-12
n =47 r-11
n=47 r=10
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000001
.0000011
.03
.04
.0000000
.0000000
.0000000
.0000002
.0000019
.0000139
.04
.05
.0000000
.0000000
.0000003
.0000025-
.0000159
.0000917
• 05
.06
.0000001
.0000004
.0000026
.0000157
.0000838
.0004011
.06
.07
.0000004
.0000025,
.0000141
.0000711
.0003237
.0013215-
.07
.08
.0000022
.0000118
.0000572
.0002512
.0009948
.0035370
.08
.09
.0000094
.0000442
,0001890
.0007328
.0025657
.0080753
.09
.10
.0000330
.0001385,
.0005298
.0018377
.QO 57615,
.0162604
.10
.11
.0000993
.0003766
.0013004
.0040767
.01156^2
.0295746
.11
.12
.0002634
.0009091
.0028589
.0081698
.0211520
.0494554
.12
.13
.0006279
.0019859
.0057282
.0150306
.0357819
.0770689
.13
.14
.0013655-
.0039825,
.0106022
.0257058
.0566322
.1131116
.14
.15
.0027432
.0074171
.0183227
.0412766
.0846338
.1576772
.15
.16
.0051419
.0129486
.0298250-
.0627338
.1203243
.2102122
.16
.17
.0090658
.0213525,
.0460535-
.0908473
.1637471
.2695618
• 17
.18
.0151374
.0334709
.0678612
.1260518
.2144153
.3340908
.18
.19
.0240725,
.0501419
.0959044
.1683675-
.2713413
.4018530
.19
.20
.0366369
.0721152
.1305501
.2173676
.3331243
.4707810
.20
.21
.0535848
.0999656
.1718102
.2721973
.3980794
.5388666
.21
.22
.0755880
.1340149
.2193119
.3316382
.4643874
.6043122
.22
.23
.1031615,
.1742759
.2723082
.3942092
.5302437
.6656387
.23
.24
.1365976
.2204237
.3297264
.4582872
.5939903
.7217468
.24
.25
.1759151
.2718011
.3902486
.5222328
.6542171
.7719329
.25
.26
.2208325,
.3274546
.4524099
.5845055-
.7098269
.8l58682
.26
.27
.2707685-
.3861990
.5147066
.6437581
.7600638
.8535508
.27
.28
.3248687
.4466999
.5756975,
.6989035-
.8045086
.8852415-
. 28
.29
.3820585-
.5075664
.6340926
.7491504
.8430481
.9113931
.29
.30
.4411123
.5674422
.6888181
.7940105-
.8758268
.9325823
.30
.31
.5007343
.6250876
.7390584
.8332813
.9031886
.9494'481
.31
.32
.5596409
.6794438
.7842714
.8670102
.9256170
.9626421
.32
.33
.6166367
.7296780
.8241813
.8954475-
.9436781
.9727903
.33
.34
.6706776
.7752046
.8587538
.9189935-
.9579721
.9804669
.34
.35
.7209180
.8156871
.8881576
.9581475-
.9690936
.9861797
.35
.36
.7667366
.8510211
.9127196
.9554601
.9776027
.9903627
.36
.37
.8077452
.8813042
.9328774
.9654959
.9840060
.9933770
.37
.38
.8437786
.9067974
.9491350,
.9747925
.9887462
•9955148
.38
.39
.8748715,
.9278821
.9620232
.9816575-
.9921985-
.9970071
.39
.40
.9012257
.9450187
.9720673
.9871572
.9946722
.9980324
.40
.41
.9231714
.9587070
.9797633
.9910177
.9964162
.9987258
.41
.42
.9411281
.9694543
.9855613
.9958230
.9976260
.9991873
.42
.43
.9555666
•9777486
.9898562
.9958175,
.9984516
.9994896
.43
.44
.9669757
.9840411
.9929844
,9972122
.9990058
.9996845-
.44
.45
.9758356
.9887334
.9952245,
.9981713
.9993718
.9998080
.45
.46
.9825969
.9921727
.9968015-
.9988197
.9996095-
.9998851
.46
.47
.9876671
.9946502
.9978926
.9992507
.9997612
.9999323
.47
.48
.9914027
.9964038
..9986346
.9995523
.9998564
.9999608
.48
.49
19941065,
.9976232
.9991304
.9997130
.9999152
.9999777
.49
.50
.9960286
.9984562
.9994557
.9998270
.9999508
.9999875,
.50
371
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V‘ s
p
n=47 r= 9
n=47 r= 8
n=47 r = 7
n r47 r= 6
n=47 r- 5
n=47 r- 4
p
.01
.0000000
.0000000
.0000004
.0000076
.0001081
.0012659
.01
.02
.0000004
.0000040
.0000399
.0003401
.0024412
.0144127
.02
.03
.0000095,
.0000724
.0004792
.0027245-
.0130956
.0520880
.03
.04
.0000896
.0005090
.0025221
.0107708
.0390522
.1179768
.04
.05
.0004707
.0021323
.0084466
.0289296
.0845264
.2073565-
.05
.06
.0017090
.0064379
.0212551
.0608880
.1495901
.3111793
.06
.07
.0048098
.0155048
.0439230
.1083837
.2307276
.4197305,
.07
.08
.0112306
.0316484
.0786091
.1708125,
.3222895,
.5248460
.08
.09
.0227355,
.0569426
.1261170
.2455318
.4180199
.6208160
.09
.10
.0411260
.0927700
.1857292
.3285689
.5122200
.7044130
.10
.11
.0679223
.1395224
.2553844
.4154332
.6004247
.7744653
.11
.12
. 1040760
.1965110
.3320822
.5018218
.6796442
.8312758
.12
.13
.1497809
.2620757
.4123780
.5841117
.7482967
.8760614
.13
.14
.2044130
.3338403
.4928510
.6596183
.8059651
.9104985-
.14
.15
.2666014
.4090408
.5704721
.7266536
.8530863
.9363946
.15
.16
.5343995
.4848569
.6428373
.784''417
.8906450,
.9554784
• 16
.17
.4055158
.5586947
.7082694
.8329507
.9199133
.9692833
.17
.18
.4775614
.6283895,
.7658107
.8726938
.9422526
.9790991
.18
.19
.5482719
.6923197
.8151393
.9045344
.9589780
.9859666
.19
.20
.6156827
.7494381
.8564424
.9295186
.9712764
.9906986
.20
.21
.6782423
.7992388
.8902743
.9487442
.9801669
•9939121
.21
.22
.7348640
.8416792
.9174209
.9632689
.9864907
.9960641
.22
.23
.7849227
.8770786
.9387829
.9740519
.9909197
.9974860
.23
.24
.8282105,
.9060110
.9552846
.9819244
.9939757
.9984132
.24
.25
.8648663
.9292049
.9678080
.9875804
.9960542
.9990102
.25
.26
.8952918
.9474576
.9771519
.9915813
.9974482
.9993898
.26
.27
.9200669
.9615684
.9840099
.9943691
.9983703
.9996282
• 27
.28
.9398727
.9722913
.9889637
.9962832
.9989721
•9997760
.28
.29
.9554266
.9803049
.9924868
.9975787
.9993597
.9998667 |
.29
.30
.9674321
.9861974
.9949546
.9984432
.9996060
.9999216
.30
.31
.9765441
.9904619
.9966575,
.9990120
.9997606
.9999544
.31
.32
.9833470
.9935004
.9978155,
.9993811
.9998564
.9999738
.32
.33
.9883446
.9956323
.9985916
.9996174
.99991^9
.9999851
.33
.34
.9919581
.9971057
.9991042
.9997665,
.9999502
.9999917
.34
.35
'.9945300
.9981087
.9994379
.9998594
.9999712
.9999954
.35
• 36
.9963323
.9987814
.9996522
.9999165-
.9999836
•9999975-
.36
.37
:9975759
.9992258
.9997877
.9999510
.9999908
.9999986
.37
.38
.9984209
.9995152
.9998722
.9999717
.9999949
•9999993
.38
.39
.9989863
.9997007
.9999242
.9999839
.9999972
.9999996
.39
.40
.9993588
.9998179
.9999556
.9999909
.9999985-
•9999998
.40
.41
.9996004
.9998908
.9999744
.9999950-
.9999992
•9999999
.41
.42
.9997547
.9999355,
.9999855-
,9999973
•9999996
.9999999
.42
.43
.9998517
.9999625,
.9999919
.9999985,
.9999998
1.0000000
.43
.44
.9999118
.9999785,
.9999955,
.9999992
.9999999
1.0000000
.44
.45
.9999483
.9999879
.9999976
.9999996
.9999999
1.0000000
.45
.46
.9999702
.9999933
.9999987
.9999998
1.0000000
1.0000000
.46
.47
.9999831
.9999963
.9999993
.9999999
1.0000000
1.0000000
.47
.48
•9999906
.9999980
.9999996
.9999999
1.0000000
1.0000000
.48
.49
.9999949
.9999990
.9999998
1.0000000
1.0000000
1.0000000
.49
• 50
.9999972
.9999995-
.9999999
1.0000000
1.0000000
1.0000000
.50
372
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s*r
n-s
q
p
n=47 r= 5
n=47 r= 2
n=47 r= 1
n-48 r-42
n=48 r-4l
0
II
00
-=r
n m
1 c
p
.01
.OII6858
.0804575-
.3764746
.0000000
.0000000
.0000000
.01
.02
.0677406
.2419450,
.6130761
.0000000
.0000000
.0000000
. 02
.03
.I667018
.4137583
.7610695,
.0000000
.0000000
.0000000
.03
.04
.2901760
.5656948
.8531926
.0000000
.0000000
.0000000
.04
.05
•4195175-
.6882548
.9102552
.0000000
.0000000
.0000000
.05
.06
.5413215,
.7816923
.9454231
.0000000
.0000000
.0000000
.06
.07
.6480068
.8501944
.9669860
.0000000
.0000000
.0000000
• 07
.08
.7366096
.8989617
.9801378
.0000000
.0000000
.0000000
.08
.09
.8072245,
.9328776
.9881165-
.0000000
.0000000
.0000000
.09
.10
.8616618
.9560111
.9929303
.0000000
.0000000
.0000000
.10
.11
.9024787
.9715283
.9958185,
.0000000
.0000000
.0000000
.11
.12
.9323635-
.9817841
.9975414
.0000000
.0000000
.0000000
.12
.13
.9537924
.9884723
.9985632
.0000000
.0000000
.0000000
.13
.14
.9688743
.9927806
.9991655-
.0000000
.0000000
.0000000
.14
.13
.9793111
.9955239
.9995184
.0000000
.0000000
.0000000
.15
.16
.9864216
.9972518
.9997239
.0000000
.0000000
.0000000
.16
.17
.9911962
.9983287
.9998427
.0000000
.0000000
.0000000
.17
.18
.9943587
.9989931
.9999110
.0000000
.0000000
.0000000
.18
.19
.9964263
.9993990
.9999500,
.0000000
.0000000
.0000000
.'19
.20
.9977612
.9996446
.9999721
.0000000
.0000000
.0000000
.20
.21
.9986128
.9997917
•9999846
.0000000
.0000000
.0000000
.21
.22
.9991498
.9998791
.9999915,
.0000000
.0000000
.0000000
.22
.23
.9994844
.9999305-
.9999954
.0000000
.0000000
.0000000
.23
.24
.9996907
•9999604
.9999975-
.0000000
.0000000
.0000000
.24
.23
.9998164
.9999776
.9999987
.0000000
.0000000
.0000000
.25
.26
.9998922
.9999875-
.9999993
.0000000
.0000000
.0000000
.26
.27
.9999373
.9999931
.9999996
.0000000
.0000000
.0000000
.27
.28
.9999640
.9999962
.9999998
.0000000
.0000000
.0000000
.28
.29
.9999795,
.9999979
.9999999
.0000000
.0000000
.0000000
.29
.30
.9999885-
.9999989
.9999999
.0000000
.0000000
.0000000
.30
.31
.9999936
.9999994
1
.0000000
.0000000
.0000000
.0000000
.31
.32
.9999965-
.9999997
1
.0000000
.0000000
.0000000
.0000000
.32
• 33
.9999981
.9999998
1
.0000000
.0000000
.0000000
.0000000
.33
.34
.9999990
.9999999
1
.0000000
.0000000
.0000000
.0000000
.34
.35
•9999995-
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.35
.36
•9999997
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.36
.37
.9999999
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.37
.38
•9999999
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.38
.39
1
,0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.39
.40
1
.0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.40
.41
1
.0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.41
.42
1
.0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.42
.43
1
.0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.43
.44
1
.0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000000
.44
.45
1
.0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000001
.45
.46
1
.0000000
1 .OOOO0OO
1
.0000000
.0000000
.0000000
.0000001
.46
.47
1
.0000000
1.0000000
1
.0000000
.0000000
.0000000
.0000002
.47
.48
1
.0000000
1.0000000
1
.0000000
.0000000
.0000001
.0000004
.48
.49
1
.0000000
1.0000000
1
.0000000
.0000000
.0000002
.0000009
.49
.50
1
.0000000
1.0000000
1
.0000000
.0000001
.0000003
.0000017
.50
373
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V ‘ 8
p
n=48 r-39
CO
K\
II
h
00
■=t
II
a
n=48 r=37
n=48 r=36
n=48 r=35
n=48 r=3!
p
.01
.0000000
.0000000
.ooooooo
.ooooooo
•OOOOOOO
.ooooooo
.01
.02
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
• 02
.03
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.03
.04
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.04
.03
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.05
.06
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.06
.07
.0000000
.0000000
.ooooooo
.ooooooo
•OOOOOOO
.ooooooo
.07
.08
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.08
.09
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.09
.10
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.10
.11
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
,0000000
.11
.12
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.12
.13
.0000000
.0000000
.ooooooo
.ooooooo
..ooooooo
.ooooooo
.13
.14
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.14
.15
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.15
.16
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.16
.17
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.17
.18
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.‘18
.19
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.19
.20
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.20
.21
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.21
.22
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.22
.23
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.23
.24
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.24
.25
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.25
.26
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.26
.27
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.27
.28
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.28
.29
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.29
.30
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.30
.31
.0000000
.0Q00000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.31
.32
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.ooooooo
.32
.33
.0000000
.0000000
.ooooooo
.ooooooo
.ooooooo
.0000001
.33
.34
.0000000
.ooooooo
.ooooooo
.00.00000
.ooooooo
.0000002
.34
.35
.0000000
.0000000
.ooooooo
.ooooooo
.0000001
.0000005-
.35
• 36
.0000000
.ooooooo
.ooooooo
.ooooooo
.0000002
.0000010
.36
.37
.0000000
.ooooooo
.ooooooo
.0000001
.0000005-
.0000020
.37
.38
.0000000
.ooooooo
.ooooooo
.0000002
.0000010
.0000041
.38
.39
.0000000
.ooooooo
.0000001
.0000004
.0000020
.0000079
.39
.40-
.0000000
.ooooooo
.0000002
.0000009
.0000039
.0000150,
.40
.41
.0000000
.0000001
.0000004
.0000018
.0000075“
. 0000^79
.41
.42
.0-000000
.0000002
.0000008
.0000036
.0000141
.0000506
.42
.43
.0000001
.0000003
.0000016
.0000069
.0000260
.0000897
.43
.44
.0000001
.0000007
.0000032
.0000128
.0000169
.0001554
.44
.45
.0000003
.0000014
.0000060
.0000235,
.0000828
.0002637
.45
.46
.0000006
.ooboo 2 ?
.0000112
.0000422
.0001429
.0004385-
.46
.47
.0000011
.0000051
.0000205,
.0000742
.0002119
.0007145-
.47
.48
.0000022
.0000095-
.0000367
.0001279
.0004013
.0011419
.48
.49
.0000041
.0000172
•0000645,
.0002162
.0006534
.0017910
.49
.50
.0000076
.0000308
.0001111
.0003586
.0010411
.0027576
.50
374
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
II
n=48 r=33
n=48 r=32
n=48 r=31
n=48 r=30
11=48 r=29
n=48 r=28
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.000000-0
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.-000000Q
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
.16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.oonoooo
.0000000
.0000000
.0000000
.0000000
.0000000
• 17
.18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
.21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.24
.25
.0000000
.0000000
.0000000
.0000000
.0000002
.0000009
.25
.26
.0000000
.0000000
.0000000
.0000001
.0000005,
.0000022
.26
.27
.0000000
.0000000
.0000001
.0000003
.0000012
.0000049
.27
.28
.0000000
.0000000
.0000001
.0000007
.0000027
.0000105,
.28
.29
.0000000
.0000001
.0000003
.0000015-
.0000059
.0000216
.29
.30
.0000000
.0000002
.0000008
.0000032
.0000123
.0000428
.30
.31
.0000001
.0000004
.0000017
.0000068
.0000246
.0000819
.31
.32
.0000002
.0000009
.0000036
.0000137
.0000476
.0001518
.32
.33
.0000004
.0000019
.0000075-
.0000269
.0000892
.0002727
.33
.34
.0000010
.0000039
.0000148
.0000511
..0001624
.0004757
.34
.35
.0000020
.0000079
.0000285-
.0000943
.0002873
.0008071
.35
.36
.0000041
.0000154
.0000532
.0001692
.0004946
.0013335,
.36
.37
.0000080
.0000292
.0000969
.0002956
.0008296
.0021482
.37
.38
.0000155-
.0000539
.0001718
.0005033
.0013573
.0033776
.38
.39
.0000290
.0000970
.0002972
.0008364
.0021681
.0051884
.39
.40
.0000530
.0001703
.0005016
.0013575,
.0033847
.00779>8
.40
.41
.0000945-
.0002921
.0008274
.0021541
.0051684
.0114582
.41
.42
.0001647
.0004898
.0013347
.0033442
.0077258
.0164996
.42
.43
.0002808
.0008033
.0021071
.0050836
.0113135,
.0232880
.43
.44
.0004684
.0012899
.0032580
.0075719
.0162410
.0322395
.44
.45
.0007651
.0020291 .
.0049369
.0110578
.0228699
.0438037
.45
.46
.0012248
.0031288
.0073362
.0158423
.0316087
.0584460
.46
.47
.0019226
.0047323
.0106963
.0222790
.0429022
.0766232
.47
.48
.0029605,
.0070239
.0153101
.0307700
.0572144
.0987543
.48
.49
.0044747
.0102360
.0215233
.0417559
.0750062
.1251869
.49
.50
.0066416
.0146525
.0297317
.0557014
.0967063
.1561634
.50
832939 0 - 50 - 25
375
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V 8
p
n =48 r =27
VO
C\J
II
CO
■=3-
ll
a
n =48 r -25
n=*l8 r =24
n =48 r-23
n -48 r=22
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
,0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
,0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000001
.0000004
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000002
.0000012
.16
.17
.0000000
.0000000
.0000000
.0000002
.0000007
.0000033
.17
.18
.0000000
.0000000
.0000001
.0000005-
.0000021
.0000086
.‘18
.19
.0000000
.0000001
.0000003
.0000013
.0000054
.0000209
.19
.20
.0000000
.0000002
.0000008
.0000033
.0000131
.0000479
.20
.21
.0000001
.0000005-
.0000020
.0000081
.0000301
.0001033
.21
.22
.0000003
.0000012
.0000049
.0000186
.0000653
.0002116
.22
.23
.0000007
.0000029
.0000113
. 0000405 ,
.0001344
.0004126
.23
.24
.0000017
.0000067
.0000247
.0000840
.0002643
.0007693
.24
.25
.0000039
.0000147
.0000515,
.0001665-
.0004976
.0013762
.25
.26
.0000086
.0000310
.0001030
.0003165,
.0008999
.0023687
• 26
.27
.0000183
.0000625,
.0001978
.0005789
.0015679
.0039334
.27
.28
.0000372
.0001213
.0003659
.0010209
.0026379
.0063162
.28
.29
.0000729
.0002269
.0006531
.0017402
.0042951
.0098286
.29
.30
.0001379
.0004100
.0011279
.0028728
.0067812
.0148488
.30
.31
.0002522
.0007174
.0018878
. 0046015 -
.0104000
.0218171
.31
.32
.0004471
. 001217*1
.0030676
.0071631
.0155180
.0312236
.32
.33
.0007693
.0020068
.0048469
.0108535-
.0225608
.0435877
.33
.34
.0012865,
.0032182
.0074571
.0160284
.0320012
.0594297
.34
.35
.0020942
.0050277
.0111862
.0231000
.04*13406
.0792360
.35
• 36
.0033220
.0076606
.0163797
.0325261
.0600827
.1034196
.36
.37
.0051417
.0113972
.0234377
.0447933
.0797011
.1322804
.37
.38
.0077727
.0165733
.0328051
.0603921
.1036021
.1659678
.38
.39
.0114872
.0235781
. 04*19562
.0797871
.1320869
.204*1505,
.39
.40
.0166120
.0328454
.0603716
.1033814
. 1653155 ,
.2474973
.40
.41
.0235263
.0448394
.0795100
.1314807
.2032763
.2946708
.41
.42
.0326543
.0600335,
.1027745,
.1642571
. 2457655 ,
. 3*153371
.42
.43
.0444523
.0788873
.1304776
.2017197
.2923795-
.3986898
.43
.44
.0593885-
.1017947
.1628059
.2436921
.3*125203
.4537885-
.44
.45
.0779180
.1290894
.1997901
.2898025-
. .3954170
.5096071
.45
.46
.1004521
.1609708
.2412810
.3394865-
.*1501597
.5650897
.46
.47
.1277243
.1974919
.2869377
.39200*19
.5057456
.6192072
.47
.48
.1587563
.2385316
.3362276
. 4*164747
.5611318
.6710114
.48
.49
.1948255,
.2837795-
.3884404
.5019121
.6152912
.7196818
.49
• 50
.2354395,
.3327329
.4427167
.5572833
.6672671
.7645605-
.50
376
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
z
s-r
8 q n-s
p
n=48 r=21
11=48 r=20
n-48 r=19
n-48 r-18
n=48 r=17
n=48 r=16
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
• 07
.08
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005,
.08
.09
.0000000
.0000000
.0000000
.0000001
.0000005-
.00000259
• 09
.10
.0000000
.0000000
.0000001
.0000004
.0000020
.0000097
.10
.11
.0000000
.0000001
.0000003
.0000015,
.0000073
.0000322
.11
.12
.0000000
.0000002
.0000011
.0000053
.0000232
.0000930
.12
.13
.0000002
.0000008
.0000038
.0000164
..0000653
.0002395-
.13
.14
.0000006
.0000026
.0000113
.0000451
.0001657
.0005594
.14
.15
.0000018
.0000076
.0000306
.0001130
.0003843
.0012008
.15
.16
.0000051
.0000204
.0000759
.0002606
.0008236
.0023939
.16
.17
.0000133
.0000502
.0001744
.0005584
.0016470
.0044706
.17
.18
.0000327
.0001151
.0003739
.0011208
.0030963
.0078773
.'18
.19
.0000748
.0002471
.0007537
.0021215,
.0055073
.0131756
.19
.20
.0001610
.0005005-
.0014368
.0038090
.0093186
.0210264
.20
.21
.0003278
.0009611
.0026040
.0065184
.0150688
.0321569
.21
.22
.0006343
.0017582
•0045064
.0106774
.0233813
.0473093
.22
.23
.0011714
.0030766
.0074754
.0168021
.0349324
.0671777
.23
.24
.0020724
.0051674
.0119264
.0254819
.0504067
.0923374
.24
.25
.0035239
.0083562
.0183542
.0373504
.0704404
.1231778
.25
.26
.0057750-
.0130460
.0273182
.0530446
.0955602
.1598447
.26
.27
.0091446
.0197118
.0394156
.0731553
.1261230
.2022027
.27
.28
.0140231
.0288863
.0552448
.0981715-
.1622647
.2498207
r Q
• CL O
.29
.0208672
.0411364
.0753603
.1284270
.2038656
.3019845-
.29
.30
.0301870
.0570289
.1002228
.1640538
.2505345-
.3577345-
.30
.31
.0425234
.0770896
.1301501
.2049483
.3016177
.4159254
.31
.32
.0584175,
.1017579
.1652739
.2507559
.3562297
.4752997
.32
.33
.0783729
.1313413
.2055081
.3008761
.4133040
.5345687
.33
.34
.1028133
.1659747
.2505316
.3544858
.4716584
.5924915-
.34
.35
.1320406
.2055898
.2997908
.4.105891
.5300675,
.6479457
.35
.36
.1661956
.2^98970
.3525194
.4680646
.5873371
.6999833
.36
.37
.2052284
.2983849
.4077765,
.5257421
.6423706
.7478682
.37
.38
.2488790
.3503362
.4644984
.5824661
.6942250,
.79109^0-
.38
.39
.2966746
. *1048606
.5215598
.6371619
.7421504
.8293885-
.39
.4o
.3479417
.4609416
.5778381
.6888897
.7856122
.8626878
.40
.41
.4018344
.5174927
.6322756
.7368866
.8242957
.8911183
.41
.42
.4573771
.5734185-
.6839341
.7805914
.8580954
.9149548
.42
.43
.5135159
.6276745-
.7320375,
. 8196540
.8870917
.9345823
.43
.44
.5691776
.6793218
.7760001
.8539287
.9115181
.9504564
.44
•45
.6233273
.7275708
.8154388
.8834552
.9317249
.9630667
.45
.46
.6750227
.•7718115,
.8501713
.9084301
.9481409
.9729061
.46
.47
.7234595-
.8116303
.8802004
.9291721
.9612373
.9804^66
.47
.48
.76800^0
.8468104
.9056888
.9460859
•9714970
.9861216
.48
.49
.8082127
.8773209
.9269271
.9596267
.9793886
.9903155,
.49
.50
.8438366
.9032937
.9442986
.9702683
.9853475,
.9933584
.50
577
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
i
p
n=48 r-15
n=48 r=14
n=48 r=13
n=48 r=12
n=48 r=ll
n=48 r=10
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000001
.0000014
.03
.04
.0000000
.0000000
.0000000
.0000003
.0000024
.0000169
.04
.05
.0000000
.0000001
.0000004
.0000031
.0000197
.0001106
.05
.06
.0000001
.0000005,
.0000034
.0000198
.0001028
.0004795,
.06
.07
.0000006
.0000033
.0000181
.0000888
.0003936
.0015656
• 07
.08
.0000030
.0000154
.0000727
.0003107
.0011982
.0041525,
.08
.09
.0000125,
.0000572
.0002379
.0008978
.0030615,
.0093947
.09
.10
.0000435,
.0001777
.0006606
.0022301
.0068114
.0187469
.10
.11
.0001298
.0004782
.0016058
.0049003
.0135453
.0337929
.11
.12
.0003409
.0011431
.0034962
.0097277
.0245484
.0550099
.12
.13
.0008044
.0024724
.0069375,
.0177282
.0411492
.0865215,
.13
.14
.0017318
.0049093
.0127167
.0300355-
.0645393
.1258938
.14
.15
.0034443
.0090529
.0217658
.0477802
.0955903
.1740158
.13
.16
.0063910
.0156488
.0350904
.0719483
.1347064
.2300821
.16
.17
.0111546
.0255517
.0536684
.1032403
.1817356
.2926740
.17
.18
.0184374
.0396612
.0783355,
.1419572
.2359569
.3599155,
.'18
.19
.0290257
.0588367
.1096724
.1879325,
.2961386
.4295726
.19
.20
.0437326
.0838022
.1479136
.2405190
.3506557
.4997613
.20
.21
.0633248
.1150529
.1928915,
.2986325,
.4276447
•5681355-
.21
.22
.0884419
.1527802
.2440237
.3608430
.4951708
.6330336
.22
.23
.1195178
.1968233
.3003454
.4254971
.5615845,
.6930740
.23
.24
.1567159
.2466564
.3605810
.4908560
.6246519
.7472981
.24
.25
.1998866
.3014130
.4232446
.5552289
.6836461
.7951662
.25
.26
.2485543
.3599430
.4867548
.6170891
.7373977
.8365183
.26
.27
.3019347
.4208960
.5495505-
.6751606
.7853053
.8715101
.27
.28
.3589814
.4828192
.6101952
.7284729
.8271138
.9005382
.28
.29
.4184558
.5442590
.6674593
.7763807
.8628682
.9241528
.29
.30
.4790112
.6038550-
.7203758
.8185554
.8928534
.9430372
.30
.31
.5392838
.6604185,
.7682675,
.8549526
.9175291
.9578479
.31
.32
• 5979779
.7129886
.8107478
.8857644
.9374650,
.9692677
.32
.33
.6539403
.7608641
.8476991
.9113636
.9532851
.9779232
.33
.34
.7062168
.8036H3
.8792353
.9322462
.9656203
.9843739
.34
.35
.7540872
.8410518
.9056541
.9489786
•9750737
.9891023
.35
.36
.7970790
.8732326
.9273862
.9621514
.9821963
.9925118
.36
.37
.8349621
.9003863
.9449455,
.9723434
.9874733
.9949306
.37
.38
.8677257
.9228857
.9588848
.9800948
.9913183
.9966191
.38
.39
.8955457
.9411971
.9697586
.9858905-
.9940738
.9977790
.39
.40
.9187429
.9558381
.9780953
.9901512
.9960163
.9985629
.40
.41
.9377410
.9673401
.9843776
.9932311
.9973631
.9990844
.41
.42
.9530251
.9762192
.9890312
.9954202
.9982817
.9994256
.42
.9651049
.9829549
.9924196
.9969502
.9988979
•9996453
.43
.44
.9744845-
.9879762
.9948447
.9980014
•9993044
.9997845-
.44
•45
.9816396
.9916544
.9965506
.9987115,
.9995681
.9998712
.45
.46
.9870018
.9943019
.9977299
.9991830
.9997362
•9999242
.46
.47
.9909491
.9961741
.9985309
.9994906
.9998416
•9999562
.47
.48
.9958032
•9974746
.9990655-
.9996879
.9999065,
•9999751
.48
.49
.9958297
.9983617
.9994159
.9998121
.9999458
.9999861
.49
.50
.9972424
.9989559
.9996414
.9998889
.9999692
.9999924
.50
378
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
Z
ST
S q Il-S
p
n=48 r- 9
n=48 r- 8
n=48 r- 7
n=48 r= 6
n=48 r = 5
n=48 r- 4
p
.01
.0000000
.0000000
.0000005,
.0000086
.0001197
.0013701
.01
.02
.0000004
.0000047
.0000459
.0003821
.0026806
.0154793
.02
.03
.0000114
.0000846
.0005465,
.0030356
.0142654
.0555264
.03
.04
.0001064
.0005895,
.0028521
'.0119021
.0422091
.1248648
.04
.03
.0005557
.0024480
.0094708
.0317095-
.0906679
.2179645,
.05
.06
.0019928
.0073270
.0236331
.0662101
.1592855-
.32^9879
.06
.07
.0055585-
.0174941
.0484352
.1169478
.2439578
.4357099
.07
.08
.0128641
.0354052
.0859854
.1829307
.3384941
.5417871
.08
.09
.0258142
.O63I683
.1368643
.2610558
.4362716
.6375928
.09
.10
.0462904
.1020659
.2000131
.3469340
•5314393
.7201378
.10
.11
.0757983
.1522672
.2729897
. 4337823
.6195692
.7885468
.11
.12
.1151682
.2127795,
.3524510
.5231605-
.6978400
.8434063
.12
• 13.
.1643792
.2816150-
.4347033
.6054557
.7649061
.8861664
.13
.14
.2225329
.3561018
.5161984
.6801068
.8205997
.9186711
.14
.15
.2879673
.4332555,
.5938993
.7456185,
.8655825,
.9428321
.15
• 16
.3584726
.5101338
.6654940
.8014342
.9010184
.9604293
.16
.17
.4315562
.5841224
.7294652
.8477344
.9283062
.9730085,
•.17
• 18
.5047105-
.6531253
.7850496
.8852144
.9488850,
.9818458
.18
• 19
.5756410
.7156554
.8321244
.9148787
.9641058
.9879539
.19
.20
. 642*037
.7708390
.8710577
.9378701
.9751608
.9921111
.20
.21
.7036516
.8183563
.9025530
.9553430
.9830534
•9948992
.21
.22
.7583634
.8583424
.9275074
.9683777
.9885988
.9967429
.22
• 23
.8061185,
.8912706
.9468948
.9779315-
.9924299
.9979456
.23
.24
.8468826
.9178366
.9616781
.9848167
.9950407
.9987198
.24
.25
.8809510
.9388557
.9727511
.9896988
.9967932
.9992118
.25
.26
.90885^9
.9551781
.9809036
.9931067
.9979530
.9995204
• 26
.27
.9312723
..9676276
.9868069
.9954'194
.9987099
.9997116
• 2 Z
.28
.9489499
.9769595,
.9910131
.9970361
.9991972
.9998287
.28
.29
.9626413
.9838377
.9939634
.9980952
.9995067
.9998994
.29
.30
.9730617
.9888246
.9960011
.9987920
.9997007
.9999416
.30
• 3l
.9808586
.9923825,
.9973874
.9992441
.9998207
.9999665,
.31
• 32
.9865961
.9948812
.9983165,
.9995332
.9998939
.9999810
.32
• 33
.9907496
.9966089
.9989301
.9997155,
.9999381
.9999894
.33
.34
.9937083
.9977852
.9993294
.9998190
.9999643
.9999941
.34
.35
.9957825,
.9985739
.9995855-
.9998985,
.9999797
.9999968
.35
.36
.9972140
.9990949
.9997473
.9999406
.9999886
.9999983
.36
• 37
.9981864
'.9994337
.9998481
.9999657
.9999937
.9999991
.37
.38
.9988367
.9996508
.9999100
.9999805-
.9999965,
.9999995,
.38
• 39
.9992649
.9997879
19999475-
.9999891
.9999981
.9999998
.39
.40
•9995424
.9998730
;9999598
.9999939
.9999990
•9999999
.40
.41
.9997195-
.9999251
.9999829
•9999967
.9999995-
.9999999
.41
.42
.9998307
.9999565,
•9999904
.9999982
.9999997
1.0000000
.42
.43
.9998994
.9999751
.9999947
.9999991
.9999999
1.0000000
.43
.44
•9999411
.9999860
.9999971
.9999995,
.9999999
1.0000000
.44
.45
.9999661
.9999923
.9999985-
.9999998
1.0000000
1.0000000
.45
.46
.9999808
.9999958
.9999992
.9999999
1.0000000
1.0000000
.46
.47
.9999893
.9999977
.9999996
.9999999
1.0000000
1.0000000
.47
.48
.9999942
.9999988
.9999998
1.0000000
1.0000000
1.0000000
.48
.49
.9999969
.9999994
.9999999
1.0000000
1.0000000
1.0000000
.49
• 50
.9999983
.9999997
.9999999
1.0000000
1.0000000
1.0000000
.50
379
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
V s
p
n-48 r- 3
n=48 r- 2
n=48 r= 1
n=49 r-42
n=49 r =41
n=49 r=4o
p
.01
.0123736
.0834177
.3827099
.0000000
.0000000
.0000000
.01
.02
.0712247
.2493676
.6208146
.0000000
.0000000
.0000000
.02
.03
.1741135-
.4241776
.7682375-
.0000000
.0000000
.0000000
.03
.04
.3011968
.5771947
.85906.49
.0000000
.0000000
.0000000
.04
.05
.4329544
.6993548
.9147424
.0000000
.oooocoo
.0000000
.05
.06
.5557438
.7915161
.9486977
.0000000
.0000000
.0000000
.06
.07
.6621599
.8583698
.9692969
.0000000
.0000000
.0000000
.07
.08
.7495978
.9054558
.9817268
.0000000
.0000000
.0000000
.08
.09
.8185333
.9378491
.9891860
.0000000
.0000000
.0000000
.09
.10
.8710967
.9597030
.9936373
.0000000
.0000000
.0000000
.10
.11
.9100742
.9742003
.9962785-
.0000000
.0000000
.0000000
.11
.12
.9382939
.9836750-
.9978364
.0000000
.0000000
.0000000
.12
.13
.9583008
.9897841
.9987500-
.0000000
.0000000
.0000000
.13
.14
.9722212
.9936745-
.9992823
.0000000
.0000000
.0000000
.14
.15
.9817430
.9961231
.9995906
.0000000
.0000000
.0000000
.15
.16
.9881545-
.9976473
.9997680
.0000000
.0000000
.0000000
• 16
.17
.9924088
.9985861
.9998695-
.0000000
.0000000
.0000000
.17
.18
.9951929
.9991583
.9999270
.0000000
.0000000
.0000000
.18
.19
.9969911
.9995037
.9999595,
.0000000
.0000000
.0000000
.19
.20
.9981379
.9997101
.9999777
.0000000
.0000000
.0000000
.20
.21
.9988604
.9998322
.9999878
.0000000
.0000000
.0000000
.21
.22
.9993102
.9999038
.9999934
.0000600
.0000000
.0000000
.22
• 23
.9995870
.9999454
.9999964
.0000000
.0000000
.0000000
.23
.24
.9997554
.9999693
.9999981
.0000000
.0000000
.0000000
.24
.25
.9998567
.9999829
.9999990
.0000000
.0000000
.0000000
.25
• 26
.9999170
.9999906
.9999995-
.0000000
.0000000
.0000000
.26
.27
.9999524
.9999948
.9999997
.0000000
.0000000
.0000000
•27
.28
.9999730
.9999972
.9999999
.0000000
.0000000
.0000000
. <18
.29
.9999849
.9999985,
.9999999
.0000000
.0000000
.0000000
.29
.30
.9999916
.9999992
1.0000000
.0000000
.0000000
.0000000
.30
• 3i
.9999954
.9999996
1.0000000
.0000000
.0000000
.0000000
.31
• 32
.9999975,
.9999998
1.0000000
.0000000
.0000000
.0000000
.32
• 33
.9999987
.9999999
1.0000000
.0000000
.0000000
.0000000
.33
.34
.9999993
.9999999
1.0000000
.0000000
.0000000
.0000000
.34
. 35
.9999996
1.0000000
1.0000000
.0000000
.0000000
.0000000
.35
•36
.9999998
1.0000000
1.0000000
.0000000
.0000000
.0000000
.36
• 37
.9999999
1.0000000
1.0000000
.0000000
.0000000
.0000000
.37
.38
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000000
.38
• 39
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000000
.39
.40
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000000
.40
.4l
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000000
.41
.42
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000000
.42
.43
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000000
.43
.44
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000001
.44
.45
1.0000000
1.0000000
1.0000000
.0000000
.0000000
.0000002
.45
.46
1.0000000
1.0000000
1.0000000
.0000000
.0000001
.0000003
• 46
.47
1.0000000
1.0000000
1.0000000
.OOOOCO0
.0000001
.0000006
j47
.48
1.0000000
1.0000000
1.0000000
.0000000
.0000003
.0000013
.48
• 49
1.0000000
1.0000000
1.0000000
.0000001
.0000005
.0000024
.49
• 50
1.0000000
1.0000000
1.0000000
.0000002
.0000010
.0000046
• 50
380
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
q “- 8
p
n-49 r=39
n-49 r=38
n=49 r-37
n-49 r-36
n-49 r-35
n=49 r=34
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.05
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0006000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
. 18
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
.19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
• 2i
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.22
.23
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.24
.25
.0000000
.0000000
.0000000 *
.0000000
.0000000
.0000000
.25
• 26
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.26
.27
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 2 Z
.28
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.28
.29
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.29
• 30
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.30
. 3i
.OQOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.31
. 32
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.32
. 33
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.33
.34
.0000000
.0000000
.0000000
.0000000
.0000001
.0000005-
.34
• 35
.0000000
.0000000
.0000000
.0000000
.0000002
.0000010
.35
• 36
.0000000
.6000000
.0000000
.0000001
.0000005-
.0000021
.36
• 37
.0000000
.0000000
.0000000
.0000002
.0000010
.0000042
.37
.38
.0000000
.0000000
.0000001
.0006005-
.0000021
.0000084
.38
.39
.0000000
.0000000
.0000002
.0000010
.0000043
.0000161
.39
.4o
.0000000
.0000001
.0000005-
.0000021
.0000083
. OOOQ302
.40
.41
.0000000
.0000002
.0000010
.0000042
.0000159
.0000552
.41
.42
.0000001
.0000004
.0000020
.0000080
.0000294
.0000985,
.42
.43
.0000002
.0000009
.0000039
.0000151
.0000534
.0001718
. 43
.44
.0000004
.0000018
.0000074
.0000278
.0000947
.0002931
.44
.45
.0000008
.0000035-
.0000139
0000502
.0001642
.0004894
.45
.46
.0000015,
.0000066
.0000255-
.0000885,
.0002789
.0008002
• 46
.47
.0000030
.0000123
.0000458
.0001530
.0004640
.0012823
.47
.48
.0000057
.0000226
.0000805-
:ooo2'59i
.0007568
.0020149
.48
.49
.0000105,
.0000404
.0001388
.0004304
.0012108
.0031060
.49
• 50
.0000192
.0000:710
.0002349
.0007013
.0019008
.004699 6
• 50
381
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=49 r=33
n=49 r=32
n-49 r=31
n-49 r=30
n-49 r=29
n-49 r-28
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.ooooooc
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000006
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0006000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
• 13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.15
• 16
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
• 16
.17
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.17
. l8
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.18
• 19
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.19
.20
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.20
• 21
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.21
.22
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
.22
• 23
.0000000
.0000000
.0000000
.0000000
.0000001
.0000003
.23
.24
.0000000
.0000000
.0000000
.0000000
.0000002
.0000007
.24
• 25
.0000000
.0000000
.0000000
.0000001
.0000004
.0000017
.25
.26
.0000000
.0000000
.0000000
.0000002
.0000010
.0000039
• 26
.27
.0000000
.0000000
.0000001
.0000005,
.0000022
.0000085,
•27
• cO
.0000000
.0000001
.0000003
.0000012
.0000049
.0000180
.28
.29
.0000000
.0000002
.0000007
.0000028
.0000105-
.0000365-
.29
• 30
.0000001
.0000004
.0000015,
.0000059
.0000214
.0000713
.30
• 31
.0000002
.0000008
.0000033
.0000123
.0000423
.0001347
.31
• 32
.0000004
.0000018
.0000069
.0000245,
.0000809
.0002463
.32
• 33
.0000009
.0000037
.0000139
.0000475“
.0001497
.0004366
.33
• 34
.0000020
.0000076
.0000271
.0000889
.0002689
.0007514
.34
• 33
.0000041
.0000151
.0000515,
.0001618
.0004692
.0012576
.35
• 36
.0000081
.0000290
.0000950-
.0002863
.0007966
.0020494
.36
*37
.0000159
.0000542
.0001704
.0004932
.0013175,
.0032558
.37
• 38
.0000301
.0000987
.0002978
.0008278
.0021250,
.0050477
.38
• 39
.0000555“
.0001750,
.0005075-
.0013558
.0033460
.00764^9
.39
• 40
ii -i
.0000999
.0003028
.0008440
.0021684
.0051483
.0113211
.40
.41
.0001755,
.0005116
.0013714
.0033900
.0077472
.0164061
.41
• 42
.0003012
.00084’.'6
.0021787
.0051845-
.0114108
.0232846
.42
• 43
1.1.
.0005055
.0013639
.0033870
.0077625-
.0164626
.0323887
.43
.44
iic
.0008298
.0021558
.0051561
.0113863
.0232804
.0441851
.44
• 45
.0013339
.0033376
.0076913
.0163732
.0322901
.0591531
.45
• 4o
.0021007
.00506-42
.0112490
.0230948
.0439538
.0777688
.46
.47
.0032431
.0075354
.0161402
.0319719
.0587510
.1004527
.47
• *fo
ll O
.0049110
.0110013
.0227308
.0434633
.0771535,
.1275552
.48
•49
C r\
.0072977
.0157667
.0314373
.0580486
.0995948
.1593099
.49
• 30
.0106471
.0221921
.0427166
.0762039
.1264349
.1958015-
.50
■ -33
382
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s n-8
q
p
n=49 r=27
n=49 r=26
n=49 r=25
n-49 r=24
n-49 r=23
n=49 r=22
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.07
.08
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.08
.09
.0000000
.0000000
.0000000
.0000000
.OOOOQ0O
.0000000
.09
.10
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.10
.11
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.11
.12
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.12
.13
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.13
.14
.0000000
.0000000
.0000000
.0000000
.0000000
.0000002
.14
.15
.0000000
.0000000
.0000000
.0000000
.0000001
.0000006
.15
.16
.0000000
.0000000
.0000000
.0000001
. 000000.4
.0000018
.16
.17
.0000000
.0000000
.0000001
.0000003
.0000012
.0000050-
.17
. iQ
.0000000
.0000000
.0000002
.0000008
.0000032
.0000129
.18
.19
.0000000
.0000001
.0000005-
.0000021
.0000083
.0000312
.19
.20
.0000001
.0000003
.0000013
.0000053
.0000201
.0000705-
.20
• 21
.0000002
.0000008
.0000033
.0000127
.0000455-
.0001505-
.21
.22
.0000005-
.0000020
.0000079
.0000289
.0000975-
.0003046
.22
.23
.0000012
.00000^8
.0000180
.0000621
.0001984
.0005871
.23
.•24
.0000029
.0000110 .
.0000389
.0001273
.0003855-
.0010821
.24
.25
.0000066
.0000239
.0000803
.0002493
.0007172
.0019131
.25
.26
.000014^
.0000497
.0001585,
.0004682
.0012818
.0032543
.26
.27
.0000302
.0000991
.0003007
.0008459
.0022066
.0053404
•27
.28
.0000607
.0001898
.0005493
.0014737
.0036678
•0084741
.28
.29
.0001175,
.0003505-
.0009684
.0024811
.0058998
.0130298
.29
.30
.0002195,
.0006254
.0016514
.0040453
.0092015,
.0194502
.30
• 3l
.0003964
.0010802
.0027290
.0063990
.0139393
.0282360
.31
• 32
.0006936
.0018094 •
.0043781
.0098367
.0205438
.0399257
.32
. 33
.0011777
.002941*0
.0068290
•0147169
.0294997
.0550668
.33
.34
.0019433
.0046595-
.0103714
.0214592
.0413269
.0741801
.34
• 35
.0031209
.0071831
.0153560
.0305342
.0565540
.0977176
.35
• 36
.0048839
.0107995-
.0221924
•0424465,
.0756840
.1260190
• 36
• 37
.0074562
.0158522
.0313393
.0577092
.0991554
.1592712
.37
.38
.0111169
.0227414
.0432882
.0768119
.1273010
.1974741
.38
.39
.0162026
.0319155,
.0585402
.1001840
.1603087
.2404179
.39
.40
.0231053
.0438559
.0775756
.1281551
.1981882
.2876750,
.40
.4l
.0322646
.0590544
.1008180
.1609169
.2407480
.3386079
.41
.42
.0441536
.0779847
.1285972
.1984906
.2875856
.3923939
.42
.43
.0592576
.1010688
.1611117
.2407034
.3380929
.4480650,
.43
.44
.0780472
.1286396
.1983959
.2871765,
.3914783
.5045597
.44
.45
I. /*
.1009451
.1609047
.2402957
.3373290
.4468026
.5607812
.45
.46
.1282907
.1979135-
.2864555,
.3903962
.5030275,
.6156589
.46
• 47
i. n
.1603031
.2395314
.3363193
.4454630
.5590726
.6682057
.47
.48
.1970484
.2854257
.3891462
.5015101
.6138740
.7175679
.48
.49
.2384130
.3350633
. 4^0416
.5574679
.6664426
.7630619
.49
• 50
.2840862
.3877248
.5000000
.6122752
.7159138
.8041985,
• 50
383
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q ii-s
p
n-49 r-21
n=49 r=20
n=49 r=19
n=49 r r l8
n=49 r=17
n-49 r =16
p
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.02
.03
.OQOOOOO
.0000000
.0000000
.0000000
.0000000
.0000000
.03
.04
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.04
.03
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.05
.06
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.06
.07
.0000000
.0000000
.0000000
.0000000
.0000000
.0000001
•07
.08
.0000000
.0000000
.0000000
.0000000
.0000001
.0000007
.08
.09
.0000000
.0000000
.0000000
.0000001
.0000006
.0000034
.09
.10
.0000000
.0000000
.0000001
.0000005,
.0000028
.0000131
.10
.11
.0000000
.0000001
.0000004
.0000022
.0000100
.0000429
.11
.12
.0000001
.0000003
.0000016
.0000075-
.0000316
.0001227-
.12
.13
.0000002
.0000012
.0000054
.0000227
.0000880
.0003129
.13
.14
.0000008
.0000038
.0000160
.0000620
.0002209
.0007235,
.14
.15
.0000026
.0000111
.0000430
.0001537
.0005068
.0015373
.15
.16
•0000075,
.0000293
.0001055-
.0003507
.0010749
.0030334
.16
.17
.0000196
.0000713
.0002397
.0007435-
.0021270
.0056069
.17
.18
.0000475,
.0001617
.0005084
.0014764
.0039569
.0097781
.18
.19
.0001075,
.0003434
.0010136
.0027648
.0069643
.0161871
.19
.20
.0002289
.0006877
.0019113
.0049109
.0116602
.0255677
.20
.21
.0004608
.0013061
.0034260
.0083140
.0186573
.0387022
.21
.22
.0008815,
.0023628
.00586 l 4'0
.0.134722
.0286455-
.0563585,
.22
.23
.0016096
.0040883
.0096205,
.0209721
.0423488
.0792159
.23
.24
.0028152
.0067895,
.0151797
.0314639
.0604701
.1077882
.24
.25
.0047320
.0108557
.0231033
.0456229
.0836248
.1423550-
.25
.26
.0076654
.0167568
.0340070
.0640987
.1122742
.1829092
.26
.27
.0119977
.0250318
.0485253
.0874565,
.1466645,
.2291304
.27
.28
.0181848
.0362667
.0672643
.1161176
.1867804
.2803857
.28
.29
.0267453
.0510614
.0907497
.1503042
.2323200
.3357611
.29
.30
.0382396
.0699871
.1193721
.1899980
.2826945-
.3941175,
.30
.31
.0532389
.0935384
.1533375,
.2349158
.3370531
.4541665-
.31
.32
.0722865-
.1220830
.1926282
.2845075,
.3943321
.5145567
.32
.33
.0958525-
.1558163
.2369795,
.3379773
.4533214
.5739613
.33
.34
.1242882
.1947241
.2858764
.3943251
.5127416
.6311581
.34
.35
.1577828
.2385602
.3385702
.5424066
.5713249
.6850952
.35
.36
.1963281
.2868411
.3941157
.5110027
.6278897
.7349378
.36
.37
.2396963
.3388598
.4514238
.5688946
.6814047
.7800929
.37
.38
.2874327
.3937178
.5093262
.6249345,
.7310356
.8202147
.38
.39
.3388671
.4503733
,5666446
.6781074
.7761733
.8551898
.39
.40
.3931416
.5077002
.6222588
.7275787
.8164424
.8851098
.40
.41
.4492543
.5645537
.6751661
.7727243
.8516929
.9102336
.41
.42
.5061144
.6198350,
.7245302
.8131431
.8819763
.9309443
.42
.43'
.5626041
.6725506
.7697126
.8486522
.9075127
.9477070
.43
.44
.6176411
.7218603
.8102887
.8792680
.9286510
.9610288
.44
.45
.6702368
.7671114
.8460462
.9051766
.9458287
.9714245,
.45
.46
.7195456
.8078570
.8769703
.9266970
.9595329
.9793901
.46
.47
.7648997
.8438582
.9032171
.9442427
.9702657
.9853828
.47
.48
.8058311
.8750720
.9250794
.9582832
.9785168
.9898088
.48
.49
.8420757
.9016280
.9429499
.9693100
.9847428
.9930175-
.49
.50
.8735651
.9237961
.9572834
.9778079
.9893529
.9953004
.50
384
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-a
p
n=49 r=15
n=49 r=l4
n-49 r-13
n=49 r-12
n-49 r-11
n-49 r-10
P
.01
.0000000
.0000000
.0000000
.0000000
.0000000
.0000000
.01
.02
.0000000
.0000000
.0000006
.0000000
.0000000
.0000000
. 02
.03
.0000000
.0000000
.6000000
.0000000
.0000002
.0000017
.03
.04
.0000000
.0000000
•OOOOOCC
.0000004
.0000030
.0000205,
.04
.03
.0000000
.0000001
.0000006
.0000040
.0000242
.0001328
.05
.06
.0000001
.0000007
.0000044
.0000248
.0001254
.0005703
.06
.07
.0000008
.0000044
.0000230
.0001101
.0004756
.0018451
.07
.08
.0000040
.0000200
.0000918
.0003817
.0014345,
.0048494
.08
.09
.0000165,
.0000735-
.0002973
.0010925-
.0036315,
.0108725-
.09
.10
.0000569
.0002260
.0008176
.0026882
.0080050-
.0215013
.10
.11
.0001681
.0006023
.0019682
.0058513
.0157726
.0384135'-
.11
.12
.0004372
.0014255-
.0042440
.0115062
.0283238
.0631089
.12
.13
.0010213
.0030529
.0083403
.0207730
.0470476
.0966430
.13
.14
.0021767
.0060023
.0151413
.0348660
.0731289
.1394233
.14
.13
.0042856
.0109599
.0256680
.0549517
.1073542
.1911085,
.15
.16
.0078722
.0187595-
.0409876
.0819896
.1499665-
.2506246
.16
.17
.0136021
.0303315,
.0620956
.1165845-
.2005951
.3162840
• 17
.18
,0222577
.0466225,
.0897874
.1588772
.2582695-
.3859786
.'18
.19
.0346898
.0684955,
.1245418
.2084917
.3215100
.4574066
• 19
.20
.0517465-
.0966245-
.1664347
.2645463
.3847680
.5282958
.20
.21
.0741877
.1313990
.2150971
.3257251
.4571478
.5965939
.21
.22
.1025963
.1728538
.2697239
•3903951
.5255006
. 66060 61
.22
.23
.1372981
.2206334
.3291303
.4567512
.5916731
.7190743
.23
.24
.1783016
.2739983
.3918470
.5229670
.6540870
.7711984
.24
.25
.2252682
.3318709
.4562407
.5873332
.7115261
.8166124
.25
.26
.2775153
.3929140
.5206417
.6483693
.7631690
.8553258
.26
.27
.3340542
.4556327
.5834652
.7048997
.8085806
.8876459
.27
.28
.3936560
.'5184845-
.6433130
.7560924
.8476726
.9140935-
.28
.29
.4549387
.5799871
.6990465,
.8014621
.8806436
.9353216
.29
.30
.5164644
.6388112
.7498297
.8408448
.9079086
.9520446
.30
.31
.5768356
.6938517
.7951399
.8743513
.9300279
.9649812
.31
.32
.634-7813
.7442716
.8347531
.9023086
.9476419
.9748128
.32
.33
.6892251
.7895196
.8687084
.9251977
.9614157
.9821559
.33
.34
.7393309
.8293235-
.8972590
.9435934
.9719965,
.9875476
.34
.35
.7845248
.8636626
.9208177
.9581119
.9799837
.9914404
.35
.36
.8244943
.8927279
.9399017
.9693676
.9859099
.9942046
.36
.37
.8591690
.9168732
.9550827
.9779415-
.9902325-
.9961353
.37
.38
.8886865,
.9365653
.9669446
.9843597
.9933326
.9974618
.38
.39
.9133497
.9523361
.9760500,
.9890820
.9955188
.9983585-
.39
.40
.9335810
.9647410
.9829176
.9924972
.9970349
.9989547
.40
.41
.9498766
.9743255-
.9880075,
.9949252
.9980688
.99934^8
.41
.42
.9627666
.9816002
.9917146
.9966221
.9987622
•9995957
.42
.43
.9727804
.9870247
.9943677
.9977877
.9992193
.9997546
.43
.44
.9804208
.9909983
.9962336
.9985747
.9995156
.9998534
.44
.45
.9861463
.9938577
.9975230
•9990970
.9997045-
.9999139
.45
.46
.9903599
.9958788
.9983983
.9994375-
.9998227
.99995O3
.46
.47
.9934049
.9972818
.9989820
.9996556
.9998955-
.9999718
.47
.48
•9955655-
.9982382
•9993642
•9997928
.9999395-
•9999843
.48
.49
•9970704
.9988783
.9996100
.9998776
.9999656
.5999914
.49
.50
.9980992
.9992987
.9997651
.9999290
.9999868
.9999954
.50
385
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
2
s-r
s q n-s
p
n=4£ r- 9
n=49 r= 8
n=49 r- 7
n=49 r= 6
n=49 r= 5
•n-49 v - 4
p
.01
.0000000
.0000000
.0000006
.0000097
.0001322
.0014801
.01
.02
.0000005,
.0000056
.0000526
.0004280
.0029366
•0165942
.02
.03
.0000136
.0000985-
.0006212
.0033725-
.OI55032
.0590840
.03
.04
.0001257
.0006800
.0032141
.0131144
.0455154
.1319180
.04
.03
.0006484
.0027992
.0105827
.0346574
.0970327
.2287140
.05
.06
.0023128
.0083053
.0261877
.0717946
.1692276
.3388332
.06
.07
.0063939
.0196600
.0532311
.1258385-
.2573804
.4515614
.07
.08
.0146674
.0394516
.0937410
.1953757
.3547575,
.5584120
.08
.09
.0291760
.0698010
.1480416
.2768252
.4543905-
.'6538774
.09
.10
.0518679
.1118606
.2147052
.3653845,
.5503091
.7352337
.10
.11
.0842098
.1655467
.2908969
.4559988
.6381567
.-8019148
.11
.12
.1268816
.2295401
.3729361
.54^1220
.7153080
.■8547928
.12
.13
.1796199
.3015165-
.4569012
.6261843
.7806699
.'8955439
.13
.14
.2412325,
.3785153
•5391456
.6997758
.8343297
.9261681
.14
.15
.3097605,
.4573521
.6166572
.7636131
.8771700
.9486687
.15
.16
.3827383
.5349914
.6872444
.8173677
.9105241
. 9648654
.16
.17
.4574925-
.6088307
.7495710
.8614316
.9359056
.9763066
.17
.18
.5314252
.6768717
.8030793
.8966751
.9548179
.9842483
.'18
.19
.6022437
.7377845,
.8478477
.9242318
.9686370
.9896710
.19
.20
.6681148
.7908827
.8844201
.9453283
.9785509
.9933165-
.20
.21
.7277396
.8360376
.9136389
.9611622
.9855410
.9957311
.21
.22
.7803587
.8735587
.9364989
.9728259
.9903890
.9973077
.22
.23
.8257035,
.9040641
.9540332
.9812661
.9936985,
.9983231
.23
.24
.8639116
.9283586
.9672314
.9872705-
.9959237
.9989684
.24
.25
.8954271
.9473295,
.9769880
.9914724
.9973978
.9993730
.25
.26
.9208989
.9618667
.9840764
.9943667
.9983605,
.9996235,
.26
.27
.9410882
.9728060
.9891404
.9963297
.9989804
.9997766
• 27
.28
•9567926
.9808945,
.9926996
.9976412
.9993740
.9998691
.28
.29
.9687883
.9867741
.9951616
.9985045,
.9996206
.9999242
-29
.30
,9777906
.9909775,
.9968384
.9990646
.9997730
.9999566
.30
.31
.9844310
.9939340
.9979630
.9994228
.9998659
.9999755-
.31
.32
.9892473
.9959805,
.9987058
.9996486
.9999218
.9999863
.32
• 33
.9926831
.9973749
.9991893
.9997890
.9999550,
.9999925-
.33
.34
.9950944
.9983102
.9994992
.9998750-
.9999744
.9999959
.34
.35
.9967595,
.9989280
.9996950,
.9999269
.9999857
.9999978
.35
• 36
.9978911
.9993298
.9998169
.9999579
.9999921
.9999988
.36
.37
.9986479
.9995871
.9998916
.9999761
.9999957
•9999994
.37
.38
.9991461
.9997493
.9999368
.9999866
.9999977
.9999997
.38
.39
.9994689
.9998501
.9999637
.9999926
.9999988
.9999998
.39
.40
.9996747
.9999117
.9999794
.9999960
.9999994
.9999999
.40
.41
.9998038
.9999488
.9999885,
.9999978
.9999997
1.0000000
.41
.42
.9998835,
.9999708
.9999937
.9999989
.9999998
1.0000000
.42
.43
.9999319
.9999836
.9999966
.9999994
.9999999
1.0000000
.43
.44
.9999609
.9999909
.9999982
.9999997
1.0000000
1.0000000
.44
.45
.9999779
.9999951
.9999991
.9999998
1.0000000
1.0000000
.45
.46
.9999877
.9999974
.9999995,
.9999999
1.0000000
1.0000000
.46
.47
•9999933
.9999986
.9999998
1.0000000
1.0000000
1.0000000
.47
.48
.9999964
•9999993
•9999999
1.0000000
1.0000000
1.0000000
.48
.49
.9999981
.9999996
.9999999
1.0000000
1.0000000
1.0000000
.49
• 50
.9999990
.9999998
1.0000000
1.0000000
1.0000000
1.0000000
.50
-a
386
BINOMIAL DISTRIBUTION
Table 2 - Partial Sums
n
l
s-r
s n-s
q
p
n-49 r-3
n-49 r**2
n~49 r-1
p
.01
.0130840
. 0864106
.3888828
.01
.02
.0747876
.2567966
.6283983
.02
.03
.1816154
.4344994
.7751903
.03
.04
.3122367
.5884695-
.8647023
.04
• 05
.4^62744-
.7101242
.9190053
.05
.06
.5698901
.8009470
.9517758
.06
.07
.6758946
.8661347
.9714462
.07
.08
.7620664
.9115575-
.9831886
.08
.09
.8292717
.9424695-
.9901592
.09
.10
.8799573
.9630964
.99^2736
.10
.11
.9171280
.9766289
.9966878
.11
.12
.9437397
.9853744
.9980961
.12
.13
.9623936
.9909497
.9989125-
.13
.14
.9752246
.9944596
.9993828
.14
.15
.9839000
.9966432
.9996520
.15
.16
.9896733
.9979866
.9998052
.16
.17
.9934589
.9988042
.9998917
.17
.18
.9959067
.9992967
.9999402
.18
.19
.9974685-
.9995903
.9999672
.19
.20
.9984523
.9997636
.9999822
.20
.21
•9990645-
.9998649
.9999904
.21
.22
.9994408
.9999235,
.9999948
.22
•a
.9996694
.9999571
.9999973
.23
.24
.9998067
.9999762
.9999986
.24
.25
.9998882
.9999869
.9999992
.25
. 26
.9999361
.9999929
.9999996
.26
.27
.9999639
.9999962
.9999998
.27
.28
.9999798
.9999980
.9999999
.28
.29
.9999888
.9999989
.9999999
.29
.30
.9999939
.9999994
1.0000000
.30
.31
.9999967
.9999997
l.OQOOOOO
.31
.32
.9999982
.9999999
1.0000000
.32
.33
.9999991
.9999999
1.0000000
.33
.34
.9999995,
1.0000000
l.OQOOOOO
.34
.55
.9999997
1.0000000
1.0000000
.35
.36
.9999999
1.0000000
1.0000000
.36
• 37
-y Q
.9999999
1.0000000
1.0000000
.37
.38
1.0000000
1.0000000
1.0000000
.38
• 39
1.0000000
1.0000000
1.0000000
.39
. 40
•l* 0000000
1.0000000
1.0000000
.40
.41
1.0000000
1.0000000
1.00(50000
.41
.42
1.0000000
1.0000000
1.0000000
.42
• 43
1.0000000
1.0000000
1.0000000
.43
.44
1.0000000
1.0000000
1.0000000
.44
. 45
1.0000000
1.0000000
1.0000000
.45
. ^6
1.0000000
1.0000000
1.0000000
.46
.47
1.0000000
1.0000000
1.0000000
.47
.48
1.0000000
1.0000000
1.0000000
.48
.49
1.0000000
1.0000000
1.0000000
.49
. 50
1.0000000
1.0000000
1.0000000
.50
387
Applied Mathematics Program of the National Bureau of Standards
National Applied Mathematics Laboratories
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SO-j.1 * 5 ”'” l ' s
J ^ lt;l7-<(5 7*
.
■
4
"
%